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  1. label: 1.1.0.a.1
    {'CPlabel': '1A0', 'Glabel': '1.1', 'RSZBlabel': '1.1.0.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [], 'cm_discriminants': [-3, -4, -7, -8, -11, -12, -16, -19, -27, -28, -43, -67, -163], 'coarse_class': '1.1.0.a', 'coarse_class_num': 1, 'coarse_index': 1, 'coarse_label': '1.1.0.a.1', 'coarse_level': 1, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 1]], 'cusp_widths': [[1, 1]], 'cusps': 1, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 1, 'isogeny_orbits': [], 'kummer_orbits': [], 'label': '1.1.0.a.1', 'lattice_labels': None, 'lattice_x': None, 'level': 1, 'level_is_squarefree': True, 'level_radical': 1, 'log_conductor': None, 'mults': None, 'name': 'X(1)', 'newforms': [], 'nu2': 1, 'nu3': 1, 'num_bad_primes': 0, 'num_known_degree1_noncm_points': 1966517, 'num_known_degree1_noncusp_points': 1966530, 'num_known_degree1_points': 1966531, 'obstructions': [], 'orbits': [], 'parents': [], 'parents_conj': [], 'pointless': False, 'power': None, 'psl2index': 1, 'psl2label': '1.1.0.a.1', 'psl2level': 1, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 1, 'reductions': [], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '1.1.0.a.1', 'sl2level': 1, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  2. label: 2.2.0.a.1
    {'CPlabel': '2A0', 'Glabel': '3.1', 'RSZBlabel': '2.2.0.1', 'RZBlabel': None, 'SZlabel': '2A0-2a', 'Slabel': '2Cn', 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 1, 1]], 'cm_discriminants': [-4], 'coarse_class': '2.2.0.a', 'coarse_class_num': 1, 'coarse_index': 2, 'coarse_label': '2.2.0.a.1', 'coarse_level': 2, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 1]], 'cusp_widths': [[2, 1]], 'cusps': 1, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[0, 1, 1, 1]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 2, 'isogeny_orbits': [[2, 3, 1]], 'kummer_orbits': [[2, 3, 1]], 'label': '2.2.0.a.1', 'lattice_labels': ['1.1.0.a.1', '2.2.0.a.1'], 'lattice_x': [5000, 5000], 'level': 2, 'level_is_squarefree': True, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': 'Xns(2)', 'newforms': [], 'nu2': 0, 'nu3': 2, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 66869, 'num_known_degree1_noncusp_points': 66925, 'num_known_degree1_points': 66925, 'obstructions': [], 'orbits': [[2, 3, 1]], 'parents': ['1.1.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 2, 'psl2label': '2.2.0.a.1', 'psl2level': 2, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 1, 'reductions': [], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '2.2.0.a.1', 'sl2level': 2, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  3. label: 2.3.0.a.1
    {'CPlabel': '2B0', 'Glabel': '2.1', 'RSZBlabel': '2.3.0.1', 'RZBlabel': None, 'SZlabel': '2B0-2a', 'Slabel': '2B', 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [0, 1, 1, 1], 'canonical_generators': [[0, 1, 1, 0]], 'cm_discriminants': [-3, -4, -7, -8, -12, -16, -28], 'coarse_class': '2.3.0.a', 'coarse_class_num': 1, 'coarse_index': 3, 'coarse_label': '2.3.0.a.1', 'coarse_level': 2, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2]], 'cusp_widths': [[1, 1], [2, 1]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 1, 0, 1]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 3, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1]], 'label': '2.3.0.a.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1'], 'lattice_x': [5000, 5000], 'level': 2, 'level_is_squarefree': True, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': 'X0(2)', 'newforms': [], 'nu2': 1, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 753376, 'num_known_degree1_noncusp_points': 753784, 'num_known_degree1_points': 753784, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1]], 'parents': ['1.1.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 3, 'psl2label': '2.3.0.a.1', 'psl2level': 2, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '2.3.0.a.1', 'sl2level': 2, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  4. label: 2.6.0.a.1
    {'CPlabel': '2C0', 'Glabel': '1.1', 'RSZBlabel': '2.6.0.1', 'RZBlabel': None, 'SZlabel': '2C0-2a', 'Slabel': '2Cs', 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [], 'cm_discriminants': [-4], 'coarse_class': '2.6.0.a', 'coarse_class_num': 1, 'coarse_index': 6, 'coarse_label': '2.6.0.a.1', 'coarse_level': 2, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 3]], 'cusp_widths': [[2, 3]], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 6, 'isogeny_orbits': [[2, 1, 3]], 'kummer_orbits': [[2, 1, 3]], 'label': '2.6.0.a.1', 'lattice_labels': ['1.1.0.a.1', '2.2.0.a.1', '2.3.0.a.1', '2.6.0.a.1'], 'lattice_x': [4885, 7643, 2126, 4885], 'level': 2, 'level_is_squarefree': True, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': 'X(2)', 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 64315, 'num_known_degree1_noncusp_points': 64362, 'num_known_degree1_points': 64362, 'obstructions': [], 'orbits': [[2, 1, 3]], 'parents': ['2.2.0.a.1', '2.3.0.a.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 6, 'psl2label': '2.6.0.a.1', 'psl2level': 2, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 3, 'reductions': [], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '2.6.0.a.1', 'sl2level': 2, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  5. label: 3.3.0.a.1
    {'CPlabel': '3A0', 'Glabel': '16.8', 'RSZBlabel': '3.3.0.1', 'RZBlabel': None, 'SZlabel': '3A0-3a', 'Slabel': '3Nn', 'all_degree1_points_known': None, 'bad_primes': [3], 'canonical_conjugator': [1, 1, 0, 1], 'canonical_generators': [[0, 1, 1, 1], [0, 1, 2, 0], [1, 1, 1, 2]], 'cm_discriminants': [-3, -4, -7, -8, -11, -16, -19, -28, -43, -67, -163], 'coarse_class': '3.3.0.a', 'coarse_class_num': 1, 'coarse_index': 3, 'coarse_label': '3.3.0.a.1', 'coarse_level': 3, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 1]], 'cusp_widths': [[3, 1]], 'cusps': 1, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[0, 2, 2, 1], [1, 0, 2, 2]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 3, 'isogeny_orbits': [[3, 4, 1]], 'kummer_orbits': [[3, 4, 1]], 'label': '3.3.0.a.1', 'lattice_labels': ['1.1.0.a.1', '3.3.0.a.1'], 'lattice_x': [5000, 5000], 'level': 3, 'level_is_squarefree': True, 'level_radical': 3, 'log_conductor': None, 'mults': None, 'name': 'Xns+(3)', 'newforms': [], 'nu2': 3, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 7076, 'num_known_degree1_noncusp_points': 7085, 'num_known_degree1_points': 7085, 'obstructions': [], 'orbits': [[3, 8, 1]], 'parents': ['1.1.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 3, 'psl2label': '3.3.0.a.1', 'psl2level': 3, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 1, 'reductions': [], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '3.3.0.a.1', 'sl2level': 3, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  6. label: 3.4.0.a.1
    {'CPlabel': '3B0', 'Glabel': '12.4', 'RSZBlabel': '3.4.0.1', 'RZBlabel': None, 'SZlabel': '3B0-3a', 'Slabel': '3B', 'all_degree1_points_known': None, 'bad_primes': [3], 'canonical_conjugator': [0, 1, 2, 2], 'canonical_generators': [[0, 1, 1, 0], [0, 1, 2, 1]], 'cm_discriminants': [-3, -12, -27], 'coarse_class': '3.4.0.a', 'coarse_class_num': 1, 'coarse_index': 4, 'coarse_label': '3.4.0.a.1', 'coarse_level': 3, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2]], 'cusp_widths': [[1, 1], [3, 1]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[2, 1, 0, 1], [2, 2, 0, 2]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 4, 'isogeny_orbits': [[3, 1, 1], [3, 3, 1]], 'kummer_orbits': [[3, 1, 1], [3, 3, 1]], 'label': '3.4.0.a.1', 'lattice_labels': ['1.1.0.a.1', '3.4.0.a.1'], 'lattice_x': [5000, 5000], 'level': 3, 'level_is_squarefree': True, 'level_radical': 3, 'log_conductor': None, 'mults': None, 'name': 'X0(3)', 'newforms': [], 'nu2': 0, 'nu3': 1, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 154632, 'num_known_degree1_noncusp_points': 154764, 'num_known_degree1_points': 154764, 'obstructions': [], 'orbits': [[3, 2, 1], [3, 6, 1]], 'parents': ['1.1.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 4, 'psl2label': '3.4.0.a.1', 'psl2level': 3, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '3.4.0.a.1', 'sl2level': 3, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  7. label: 3.6.0.a.1
    {'CPlabel': '3C0', 'Glabel': '8.1', 'RSZBlabel': '3.6.0.2', 'RZBlabel': None, 'SZlabel': None, 'Slabel': '3Cn', 'all_degree1_points_known': None, 'bad_primes': [3], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 2, 0], [2, 1, 2, 2]], 'cm_discriminants': [], 'coarse_class': '3.6.0.a', 'coarse_class_num': 1, 'coarse_index': 6, 'coarse_label': '3.6.0.a.1', 'coarse_level': 3, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 1]], 'cusp_widths': [[3, 2]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[2, 1, 2, 2]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': 1, 'index': 6, 'isogeny_orbits': [[3, 4, 1]], 'kummer_orbits': [[3, 4, 1]], 'label': '3.6.0.a.1', 'lattice_labels': ['1.1.0.a.1', '3.3.0.a.1', '3.6.0.a.1'], 'lattice_x': [5000, 5000, 5000], 'level': 3, 'level_is_squarefree': True, 'level_radical': 3, 'log_conductor': None, 'mults': None, 'name': 'Xns(3)', 'newforms': [], 'nu2': 2, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 184, 'num_known_degree1_noncusp_points': 184, 'num_known_degree1_points': 184, 'obstructions': [0], 'orbits': [[3, 8, 1]], 'parents': ['3.3.0.a.1'], 'parents_conj': [[1, 0, 2, 1]], 'pointless': True, 'power': None, 'psl2index': 6, 'psl2label': '3.6.0.a.1', 'psl2level': 3, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 0, 'reductions': [], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '3.6.0.a.1', 'sl2level': 3, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  8. label: 3.6.0.b.1
    {'CPlabel': '3C0', 'Glabel': '8.3', 'RSZBlabel': '3.6.0.1', 'RZBlabel': None, 'SZlabel': '3C0-3a', 'Slabel': '3Ns', 'all_degree1_points_known': None, 'bad_primes': [3], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 1, 0], [0, 1, 2, 0]], 'cm_discriminants': [-3, -8, -11], 'coarse_class': '3.6.0.b', 'coarse_class_num': 2, 'coarse_index': 6, 'coarse_label': '3.6.0.b.1', 'coarse_level': 3, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2]], 'cusp_widths': [[3, 2]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[0, 2, 1, 0], [0, 2, 2, 0]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 6, 'isogeny_orbits': [[3, 2, 2]], 'kummer_orbits': [[3, 2, 2]], 'label': '3.6.0.b.1', 'lattice_labels': ['1.1.0.a.1', '3.3.0.a.1', '3.6.0.b.1'], 'lattice_x': [5000, 5000, 5000], 'level': 3, 'level_is_squarefree': True, 'level_radical': 3, 'log_conductor': None, 'mults': None, 'name': 'Xsp+(3)', 'newforms': [], 'nu2': 2, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 5811, 'num_known_degree1_noncusp_points': 5819, 'num_known_degree1_points': 5819, 'obstructions': [], 'orbits': [[3, 4, 2]], 'parents': ['3.3.0.a.1'], 'parents_conj': [[2, 0, 2, 1]], 'pointless': False, 'power': None, 'psl2index': 6, 'psl2label': '3.6.0.a.1', 'psl2level': 3, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '3.6.0.a.1', 'sl2level': 3, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  9. label: 3.12.0.a.1
    {'CPlabel': '3D0', 'Glabel': '4.2', 'RSZBlabel': '3.12.0.1', 'RZBlabel': None, 'SZlabel': '3D0-3a', 'Slabel': '3Cs', 'all_degree1_points_known': None, 'bad_primes': [3], 'canonical_conjugator': [2, 2, 2, 1], 'canonical_generators': [[0, 1, 1, 0], [2, 0, 0, 2]], 'cm_discriminants': [-3], 'coarse_class': '3.12.0.a', 'coarse_class_num': 1, 'coarse_index': 12, 'coarse_label': '3.12.0.a.1', 'coarse_level': 3, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 1]], 'cusp_widths': [[3, 4]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 0, 0, 2], [2, 0, 0, 2]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 12, 'isogeny_orbits': [[3, 1, 2], [3, 2, 1]], 'kummer_orbits': [[3, 1, 2], [3, 2, 1]], 'label': '3.12.0.a.1', 'lattice_labels': ['1.1.0.a.1', '3.3.0.a.1', '3.4.0.a.1', '3.6.0.b.1', '3.12.0.a.1'], 'lattice_x': [5269, 2903, 8011, 2527, 5269], 'level': 3, 'level_is_squarefree': True, 'level_radical': 3, 'log_conductor': None, 'mults': None, 'name': 'Xsp(3)', 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 4448, 'num_known_degree1_noncusp_points': 4455, 'num_known_degree1_points': 4455, 'obstructions': [], 'orbits': [[3, 2, 2], [3, 4, 1]], 'parents': ['3.4.0.a.1', '3.6.0.b.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 12, 'psl2label': '3.12.0.a.1', 'psl2level': 3, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '3.12.0.a.1', 'sl2level': 3, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  10. label: 4.2.0.a.1
    {'CPlabel': '2A0', 'Glabel': '48.48', 'RSZBlabel': '4.2.0.1', 'RZBlabel': None, 'SZlabel': '2A0-4a', 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 1, 2], [0, 3, 1, 1], [1, 0, 2, 1], [1, 2, 0, 1], [3, 2, 2, 3]], 'cm_discriminants': [-4], 'coarse_class': '4.2.0.a', 'coarse_class_num': 1, 'coarse_index': 2, 'coarse_label': '4.2.0.a.1', 'coarse_level': 4, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 1]], 'cusp_widths': [[2, 1]], 'cusps': 1, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[3, 2, 1, 3], [3, 3, 2, 3]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 2, 'isogeny_orbits': [[2, 3, 1], [4, 6, 1]], 'kummer_orbits': [[2, 3, 1], [4, 6, 1]], 'label': '4.2.0.a.1', 'lattice_labels': ['1.1.0.a.1', '4.2.0.a.1'], 'lattice_x': [5000, 5000], 'level': 4, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 2, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 13520, 'num_known_degree1_noncusp_points': 13526, 'num_known_degree1_points': 13526, 'obstructions': [], 'orbits': [[2, 3, 1], [4, 12, 1]], 'parents': ['1.1.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 2, 'psl2label': '2.2.0.a.1', 'psl2level': 2, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 1, 'reductions': ['1.1.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '2.2.0.a.1', 'sl2level': 2, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  11. label: 4.4.0.a.1
    {'CPlabel': '4A0', 'Glabel': '24.8', 'RSZBlabel': '4.4.0.1', 'RZBlabel': None, 'SZlabel': '4A0-4a', 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [3, 0, 0, 1], 'canonical_generators': [[0, 1, 3, 1], [1, 1, 2, 3], [2, 1, 3, 3]], 'cm_discriminants': [-3, -4, -11, -19, -27, -43, -67, -163], 'coarse_class': '4.4.0.a', 'coarse_class_num': 1, 'coarse_index': 4, 'coarse_label': '4.4.0.a.1', 'coarse_level': 4, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 1]], 'cusp_widths': [[4, 1]], 'cusps': 1, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[0, 1, 1, 0], [1, 3, 2, 3]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 4, 'isogeny_orbits': [[2, 3, 1], [4, 6, 1]], 'kummer_orbits': [[2, 3, 1], [4, 6, 1]], 'label': '4.4.0.a.1', 'lattice_labels': ['1.1.0.a.1', '4.4.0.a.1'], 'lattice_x': [5000, 5000], 'level': 4, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': 'Xns+(4)', 'newforms': [], 'nu2': 2, 'nu3': 1, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 453, 'num_known_degree1_noncusp_points': 455, 'num_known_degree1_points': 455, 'obstructions': [], 'orbits': [[2, 3, 1], [4, 12, 1]], 'parents': ['1.1.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 4, 'psl2label': '4.4.0.a.1', 'psl2level': 4, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 1, 'reductions': ['1.1.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.4.0.a.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  12. label: 4.6.0.a.1
    {'CPlabel': '2C0', 'Glabel': '16.11', 'RSZBlabel': '4.6.0.5', 'RZBlabel': None, 'SZlabel': '2C0-4a', 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [1, 0, 3, 3], 'canonical_generators': [[0, 1, 1, 2], [1, 0, 2, 1], [1, 2, 0, 1], [3, 2, 2, 3]], 'cm_discriminants': [-4], 'coarse_class': '4.6.0.a', 'coarse_class_num': 1, 'coarse_index': 6, 'coarse_label': '4.6.0.a.1', 'coarse_level': 4, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 1], [2, 1]], 'cusp_widths': [[2, 3]], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[3, 0, 0, 3], [3, 0, 2, 3], [3, 1, 0, 1]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 6, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1]], 'label': '4.6.0.a.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '4.2.0.a.1', '4.6.0.a.1'], 'lattice_x': [5342, 2534, 8151, 5342], 'level': 4, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 11627, 'num_known_degree1_noncusp_points': 11630, 'num_known_degree1_points': 11630, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1]], 'parents': ['2.3.0.a.1', '4.2.0.a.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 6, 'psl2label': '2.6.0.a.1', 'psl2level': 2, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 1, 'reductions': ['2.3.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '2.6.0.a.1', 'sl2level': 2, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  13. label: 4.6.0.b.1
    {'CPlabel': '4B0', 'Glabel': '16.3', 'RSZBlabel': '4.6.0.3', 'RZBlabel': None, 'SZlabel': '4B0-4a', 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [1, 0, 3, 3], 'canonical_generators': [[0, 1, 1, 2], [0, 1, 3, 2], [0, 3, 1, 2]], 'cm_discriminants': [-4], 'coarse_class': '4.6.0.b', 'coarse_class_num': 2, 'coarse_index': 6, 'coarse_label': '4.6.0.b.1', 'coarse_level': 4, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 1], [2, 1]], 'cusp_widths': [[1, 2], [4, 1]], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 1, 2, 1], [1, 3, 0, 1]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 6, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1]], 'label': '4.6.0.b.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '4.6.0.b.1'], 'lattice_x': [5000, 5000, 5000], 'level': 4, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 11627, 'num_known_degree1_noncusp_points': 11630, 'num_known_degree1_points': 11630, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1]], 'parents': ['2.3.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 6, 'psl2label': '4.6.0.a.1', 'psl2level': 4, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 1, 'reductions': ['2.3.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.6.0.a.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  14. label: 4.6.0.c.1
    {'CPlabel': '4B0', 'Glabel': '16.11', 'RSZBlabel': '4.6.0.1', 'RZBlabel': None, 'SZlabel': '4B0-4b', 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [1, 0, 3, 3], 'canonical_generators': [[0, 1, 1, 0], [0, 1, 3, 2], [0, 3, 1, 2]], 'cm_discriminants': [-4, -16], 'coarse_class': '4.6.0.c', 'coarse_class_num': 3, 'coarse_index': 6, 'coarse_label': '4.6.0.c.1', 'coarse_level': 4, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 3]], 'cusp_widths': [[1, 2], [4, 1]], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 3, 0, 3], [3, 3, 0, 1], [3, 3, 0, 3]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 6, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1]], 'label': '4.6.0.c.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '4.6.0.c.1'], 'lattice_x': [5000, 5000, 5000], 'level': 4, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': 'X0(4)', 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 95098, 'num_known_degree1_noncusp_points': 95134, 'num_known_degree1_points': 95134, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1]], 'parents': ['2.3.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 6, 'psl2label': '4.6.0.a.1', 'psl2level': 4, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 3, 'reductions': ['2.3.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.6.0.a.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  15. label: 4.6.0.d.1
    {'CPlabel': '4C0', 'Glabel': '16.3', 'RSZBlabel': '4.6.0.2', 'RZBlabel': None, 'SZlabel': '4C0-4b', 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [1, 0, 3, 3], 'canonical_generators': [[0, 1, 1, 2], [0, 1, 3, 0], [2, 1, 3, 2]], 'cm_discriminants': [-8], 'coarse_class': '4.6.0.d', 'coarse_class_num': 4, 'coarse_index': 6, 'coarse_label': '4.6.0.d.1', 'coarse_level': 4, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2]], 'cusp_widths': [[2, 1], [4, 1]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[3, 1, 2, 3], [3, 3, 2, 1]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 6, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1]], 'label': '4.6.0.d.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '4.6.0.d.1'], 'lattice_x': [5000, 5000, 5000], 'level': 4, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 2, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 2789, 'num_known_degree1_noncusp_points': 2793, 'num_known_degree1_points': 2793, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1]], 'parents': ['2.3.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 6, 'psl2label': '4.6.0.b.1', 'psl2level': 4, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': ['2.3.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.6.0.b.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  16. label: 4.6.0.e.1
    {'CPlabel': '4C0', 'Glabel': '16.11', 'RSZBlabel': '4.6.0.4', 'RZBlabel': None, 'SZlabel': '4C0-4a', 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [1, 0, 3, 3], 'canonical_generators': [[0, 1, 1, 0], [0, 1, 3, 0], [2, 1, 3, 2]], 'cm_discriminants': [-3, -4, -7, -12, -28], 'coarse_class': '4.6.0.e', 'coarse_class_num': 5, 'coarse_index': 6, 'coarse_label': '4.6.0.e.1', 'coarse_level': 4, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2]], 'cusp_widths': [[2, 1], [4, 1]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 0, 2, 3], [1, 1, 0, 3], [3, 1, 2, 1]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 6, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1]], 'label': '4.6.0.e.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '4.6.0.e.1'], 'lattice_x': [5000, 5000, 5000], 'level': 4, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 2, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 2290, 'num_known_degree1_noncusp_points': 2290, 'num_known_degree1_points': 2290, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1]], 'parents': ['2.3.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 6, 'psl2label': '4.6.0.b.1', 'psl2level': 4, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': ['2.3.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.6.0.b.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  17. label: 4.8.0.a.1
    {'CPlabel': '4D0', 'Glabel': '12.5', 'RSZBlabel': '4.8.0.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [3, 0, 0, 1], 'canonical_generators': [[0, 1, 3, 1], [2, 1, 3, 3]], 'cm_discriminants': [], 'coarse_class': '4.8.0.a', 'coarse_class_num': 1, 'coarse_index': 8, 'coarse_label': '4.8.0.a.1', 'coarse_level': 4, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 1]], 'cusp_widths': [[4, 2]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[0, 3, 1, 1], [3, 2, 2, 1]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': 1, 'index': 8, 'isogeny_orbits': [[2, 3, 1], [4, 6, 1]], 'kummer_orbits': [[2, 3, 1], [4, 6, 1]], 'label': '4.8.0.a.1', 'lattice_labels': ['1.1.0.a.1', '2.2.0.a.1', '4.4.0.a.1', '4.8.0.a.1'], 'lattice_x': [5155, 7887, 2423, 5155], 'level': 4, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': 'Xns(4)', 'newforms': [], 'nu2': 0, 'nu3': 2, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 1, 'num_known_degree1_noncusp_points': 1, 'num_known_degree1_points': 1, 'obstructions': [0], 'orbits': [[2, 3, 1], [4, 12, 1]], 'parents': ['2.2.0.a.1', '4.4.0.a.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': True, 'power': None, 'psl2index': 8, 'psl2label': '4.8.0.a.1', 'psl2level': 4, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 0, 'reductions': ['2.2.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.8.0.a.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  18. label: 4.8.0.b.1
    {'CPlabel': '4D0', 'Glabel': '12.4', 'RSZBlabel': '4.8.0.2', 'RZBlabel': None, 'SZlabel': '4D0-4a', 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [1, 0, 3, 1], 'canonical_generators': [[0, 1, 1, 0], [0, 1, 3, 1]], 'cm_discriminants': [], 'coarse_class': '4.8.0.b', 'coarse_class_num': 2, 'coarse_index': 8, 'coarse_label': '4.8.0.b.1', 'coarse_level': 4, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2]], 'cusp_widths': [[4, 2]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[0, 3, 1, 1], [1, 1, 0, 3]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 8, 'isogeny_orbits': [[2, 3, 1], [4, 3, 2]], 'kummer_orbits': [[2, 3, 1], [4, 3, 2]], 'label': '4.8.0.b.1', 'lattice_labels': ['1.1.0.a.1', '4.2.0.a.1', '4.4.0.a.1', '4.8.0.b.1'], 'lattice_x': [5602, 8374, 2831, 5602], 'level': 4, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 2, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 172, 'num_known_degree1_noncusp_points': 172, 'num_known_degree1_points': 172, 'obstructions': [], 'orbits': [[2, 3, 1], [4, 6, 2]], 'parents': ['4.2.0.a.1', '4.4.0.a.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 8, 'psl2label': '4.8.0.a.1', 'psl2level': 4, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': ['1.1.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.8.0.a.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  19. label: 4.12.0.a.1
    {'CPlabel': '4E0', 'Glabel': '8.5', 'RSZBlabel': '4.12.0.4', 'RZBlabel': None, 'SZlabel': '4E0-4b', 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [0, 3, 3, 0], 'canonical_generators': [[1, 0, 2, 1], [1, 2, 0, 3], [3, 0, 2, 3]], 'cm_discriminants': [-4], 'coarse_class': '4.12.0.a', 'coarse_class_num': 1, 'coarse_index': 12, 'coarse_label': '4.12.0.a.1', 'coarse_level': 4, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 1]], 'cusp_widths': [[2, 2], [4, 2]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 2, 0, 1], [3, 0, 0, 3], [3, 0, 2, 1]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 12, 'isogeny_orbits': [[2, 1, 3], [4, 2, 3]], 'kummer_orbits': [[2, 1, 3], [4, 2, 3]], 'label': '4.12.0.a.1', 'lattice_labels': ['1.1.0.a.1', '2.2.0.a.1', '2.3.0.a.1', '2.6.0.a.1', '4.6.0.b.1', '4.6.0.e.1', '4.12.0.a.1'], 'lattice_x': [3921, 1806, 6035, 2203, 8811, 5639, 5639], 'level': 4, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 747, 'num_known_degree1_noncusp_points': 747, 'num_known_degree1_points': 747, 'obstructions': [], 'orbits': [[2, 1, 3], [4, 4, 3]], 'parents': ['2.6.0.a.1', '4.6.0.b.1', '4.6.0.e.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 12, 'psl2label': '4.12.0.a.1', 'psl2level': 4, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': ['2.6.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.12.0.a.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  20. label: 4.12.0.b.1
    {'CPlabel': '4E0', 'Glabel': '8.5', 'RSZBlabel': '4.12.0.3', 'RZBlabel': None, 'SZlabel': '4E0-4c', 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [1, 1, 3, 0], 'canonical_generators': [[1, 0, 0, 3], [1, 0, 2, 1], [3, 0, 2, 3]], 'cm_discriminants': [], 'coarse_class': '4.12.0.b', 'coarse_class_num': 2, 'coarse_index': 12, 'coarse_label': '4.12.0.b.1', 'coarse_level': 4, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 4]], 'cusp_widths': [[2, 2], [4, 2]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 2, 0, 1], [3, 0, 0, 1], [3, 2, 0, 3]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 12, 'isogeny_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2]], 'kummer_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2]], 'label': '4.12.0.b.1', 'lattice_labels': ['1.1.0.a.1', '2.2.0.a.1', '2.3.0.a.1', '2.6.0.a.1', '4.6.0.c.1', '4.6.0.d.1', '4.12.0.b.1'], 'lattice_x': [3603, 1660, 5547, 2024, 8502, 5182, 5182], 'level': 4, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': 'Xpm1(2,4)', 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 2565, 'num_known_degree1_noncusp_points': 2570, 'num_known_degree1_points': 2570, 'obstructions': [], 'orbits': [[2, 1, 3], [4, 2, 2], [4, 4, 2]], 'parents': ['2.6.0.a.1', '4.6.0.c.1', '4.6.0.d.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 12, 'psl2label': '4.12.0.a.1', 'psl2level': 4, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 4, 'reductions': ['2.6.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.12.0.a.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  21. label: 4.12.0.c.1
    {'CPlabel': '4E0', 'Glabel': '8.2', 'RSZBlabel': '4.12.0.10', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [1, 1, 3, 0], 'canonical_generators': [[1, 0, 2, 1], [1, 2, 1, 1], [3, 0, 2, 3]], 'cm_discriminants': [], 'coarse_class': '4.12.0.c', 'coarse_class_num': 3, 'coarse_index': 12, 'coarse_label': '4.12.0.c.1', 'coarse_level': 4, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 2]], 'cusp_widths': [[2, 2], [4, 2]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 1, 2, 1], [3, 0, 0, 3]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': 1, 'index': 12, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1]], 'label': '4.12.0.c.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '4.2.0.a.1', '4.6.0.a.1', '4.6.0.b.1', '4.6.0.d.1', '4.12.0.c.1'], 'lattice_x': [3350, 5370, 1330, 1576, 8670, 5123, 5123], 'level': 4, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 1, 'num_known_degree1_noncusp_points': 1, 'num_known_degree1_points': 1, 'obstructions': [0], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1]], 'parents': ['4.6.0.a.1', '4.6.0.b.1', '4.6.0.d.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': True, 'power': None, 'psl2index': 12, 'psl2label': '4.12.0.a.1', 'psl2level': 4, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 0, 'reductions': ['2.3.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.12.0.a.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  22. label: 4.12.0.d.1
    {'CPlabel': '4E0', 'Glabel': '8.5', 'RSZBlabel': '4.12.0.9', 'RZBlabel': None, 'SZlabel': '4E0-4a', 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [1, 1, 3, 0], 'canonical_generators': [[1, 0, 1, 3], [1, 0, 2, 1], [3, 0, 2, 3]], 'cm_discriminants': [-4], 'coarse_class': '4.12.0.d', 'coarse_class_num': 4, 'coarse_index': 12, 'coarse_label': '4.12.0.d.1', 'coarse_level': 4, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 1]], 'cusp_widths': [[2, 2], [4, 2]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 2, 0, 1], [3, 2, 0, 3], [3, 3, 0, 1]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 12, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1]], 'label': '4.12.0.d.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '4.2.0.a.1', '4.6.0.a.1', '4.6.0.c.1', '4.6.0.e.1', '4.12.0.d.1'], 'lattice_x': [3049, 4888, 1211, 1435, 8341, 4664, 4664], 'level': 4, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 747, 'num_known_degree1_noncusp_points': 747, 'num_known_degree1_points': 747, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1]], 'parents': ['4.6.0.a.1', '4.6.0.c.1', '4.6.0.e.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 12, 'psl2label': '4.12.0.a.1', 'psl2level': 4, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': ['2.3.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.12.0.a.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  23. label: 4.12.0.e.1
    {'CPlabel': '4F0', 'Glabel': '8.3', 'RSZBlabel': '4.12.0.5', 'RZBlabel': None, 'SZlabel': '4F0-4b', 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [1, 1, 3, 2], 'canonical_generators': [[0, 1, 3, 0], [2, 1, 1, 2]], 'cm_discriminants': [-3, -4], 'coarse_class': '4.12.0.e', 'coarse_class_num': 5, 'coarse_index': 12, 'coarse_label': '4.12.0.e.1', 'coarse_level': 4, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 1], [2, 1]], 'cusp_widths': [[4, 3]], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 0, 3, 3], [3, 2, 3, 1]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 12, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1]], 'label': '4.12.0.e.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '4.4.0.a.1', '4.6.0.e.1', '4.12.0.e.1'], 'lattice_x': [4497, 2189, 7219, 1775, 4497], 'level': 4, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 2, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 75, 'num_known_degree1_noncusp_points': 76, 'num_known_degree1_points': 76, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1]], 'parents': ['4.4.0.a.1', '4.6.0.e.1'], 'parents_conj': [[1, 0, 0, 1], [0, 3, 3, 2]], 'pointless': False, 'power': None, 'psl2index': 12, 'psl2label': '4.12.0.b.1', 'psl2level': 4, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 1, 'reductions': ['2.3.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.12.0.b.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  24. label: 4.12.0.f.1
    {'CPlabel': '4F0', 'Glabel': '8.3', 'RSZBlabel': '4.12.0.11', 'RZBlabel': None, 'SZlabel': '4F0-4a', 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 1, 0], [0, 1, 3, 0]], 'cm_discriminants': [-4, -7], 'coarse_class': '4.12.0.f', 'coarse_class_num': 6, 'coarse_index': 12, 'coarse_label': '4.12.0.f.1', 'coarse_level': 4, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 3]], 'cusp_widths': [[4, 3]], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[0, 3, 3, 0], [1, 0, 0, 3]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 12, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 3]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 3]], 'label': '4.12.0.f.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '4.6.0.e.1', '4.12.0.f.1'], 'lattice_x': [5000, 5000, 5000, 5000], 'level': 4, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': 'Xsp+(4)', 'newforms': [], 'nu2': 2, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 188, 'num_known_degree1_noncusp_points': 188, 'num_known_degree1_points': 188, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 3]], 'parents': ['4.6.0.e.1'], 'parents_conj': [[1, 3, 1, 2]], 'pointless': False, 'power': None, 'psl2index': 12, 'psl2label': '4.12.0.b.1', 'psl2level': 4, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 3, 'reductions': ['2.3.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.12.0.b.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  25. label: 4.24.0.a.1
    {'CPlabel': '4G0', 'Glabel': '4.2', 'RSZBlabel': '4.24.0.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 2, 2, 3], [3, 0, 0, 3]], 'cm_discriminants': [], 'coarse_class': '4.24.0.a', 'coarse_class_num': 1, 'coarse_index': 24, 'coarse_label': '4.24.0.a.1', 'coarse_level': 4, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 3]], 'cusp_widths': [[4, 6]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[3, 0, 0, 3], [3, 2, 2, 1]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': 1, 'index': 24, 'isogeny_orbits': [[2, 1, 3], [4, 2, 3]], 'kummer_orbits': [[2, 1, 3], [4, 2, 3]], 'label': '4.24.0.a.1', 'lattice_labels': ['1.1.0.a.1', '2.2.0.a.1', '2.3.0.a.1', '2.6.0.a.1', '4.4.0.a.1', '4.6.0.b.1', '4.6.0.e.1', '4.8.0.a.1', '4.12.0.a.1', '4.12.0.e.1', '4.24.0.a.1'], 'lattice_x': [6848, 8825, 3954, 5072, 7880, 774, 2837, 7880, 2980, 5301, 5301], 'level': 4, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 1, 'num_known_degree1_noncusp_points': 1, 'num_known_degree1_points': 1, 'obstructions': [0], 'orbits': [[2, 1, 3], [4, 4, 3]], 'parents': ['4.8.0.a.1', '4.12.0.a.1', '4.12.0.e.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': True, 'power': None, 'psl2index': 24, 'psl2label': '4.24.0.a.1', 'psl2level': 4, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 0, 'reductions': ['2.6.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.24.0.a.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  26. label: 4.24.0.b.1
    {'CPlabel': '4G0', 'Glabel': '4.2', 'RSZBlabel': '4.24.0.8', 'RZBlabel': None, 'SZlabel': '4G0-4a', 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 0, 3], [3, 0, 0, 3]], 'cm_discriminants': [], 'coarse_class': '4.24.0.b', 'coarse_class_num': 2, 'coarse_index': 24, 'coarse_label': '4.24.0.b.1', 'coarse_level': 4, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 4], [2, 1]], 'cusp_widths': [[4, 6]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 0, 0, 3], [3, 0, 0, 3]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 24, 'isogeny_orbits': [[2, 1, 3], [4, 1, 4], [4, 2, 1]], 'kummer_orbits': [[2, 1, 3], [4, 1, 4], [4, 2, 1]], 'label': '4.24.0.b.1', 'lattice_labels': ['1.1.0.a.1', '2.2.0.a.1', '2.3.0.a.1', '2.6.0.a.1', '4.6.0.b.1', '4.6.0.c.1', '4.6.0.d.1', '4.6.0.e.1', '4.12.0.a.1', '4.12.0.b.1', '4.12.0.f.1', '4.24.0.b.1'], 'lattice_x': [5838, 7056, 4619, 6827, 4848, 2767, 685, 8807, 6472, 3350, 8807, 6472], 'level': 4, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': 'Xsp(4)', 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 62, 'num_known_degree1_noncusp_points': 62, 'num_known_degree1_points': 62, 'obstructions': [], 'orbits': [[2, 1, 3], [4, 2, 4], [4, 4, 1]], 'parents': ['4.12.0.a.1', '4.12.0.b.1', '4.12.0.f.1'], 'parents_conj': [[1, 1, 1, 0], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '4.24.0.a.1', 'psl2level': 4, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 4, 'reductions': ['2.6.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.24.0.a.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  27. label: 4.24.0.c.1
    {'CPlabel': '4G0', 'Glabel': '4.2', 'RSZBlabel': '4.24.0.2', 'RZBlabel': None, 'SZlabel': '4G0-4b', 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [1, 0, 3, 3], 'canonical_generators': [[0, 1, 1, 0], [3, 0, 0, 3]], 'cm_discriminants': [], 'coarse_class': '4.24.0.c', 'coarse_class_num': 3, 'coarse_index': 24, 'coarse_label': '4.24.0.c.1', 'coarse_level': 4, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[4, 6]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[3, 0, 0, 3], [3, 3, 0, 1]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 24, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 2, 2]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 2, 2]], 'label': '4.24.0.c.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '4.2.0.a.1', '4.4.0.a.1', '4.6.0.a.1', '4.6.0.c.1', '4.6.0.e.1', '4.8.0.b.1', '4.12.0.d.1', '4.12.0.e.1', '4.12.0.f.1', '4.24.0.c.1'], 'lattice_x': [6571, 4058, 8010, 7408, 3115, 969, 5000, 9293, 2592, 7408, 5000, 6204], 'level': 4, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 42, 'num_known_degree1_noncusp_points': 42, 'num_known_degree1_points': 42, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 4, 2]], 'parents': ['4.8.0.b.1', '4.12.0.d.1', '4.12.0.e.1', '4.12.0.f.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [0, 3, 1, 2], [1, 2, 1, 3]], 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '4.24.0.a.1', 'psl2level': 4, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': ['2.3.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.24.0.a.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  28. label: 5.5.0.a.1
    {'CPlabel': '5A0', 'Glabel': '96.67', 'RSZBlabel': '5.5.0.1', 'RZBlabel': None, 'SZlabel': '5A0-5a', 'Slabel': '5S4', 'all_degree1_points_known': None, 'bad_primes': [5], 'canonical_conjugator': [3, 0, 4, 4], 'canonical_generators': [[0, 1, 3, 0], [0, 1, 4, 1], [0, 2, 2, 1], [0, 2, 3, 2]], 'cm_discriminants': [-3, -4, -11, -16, -19], 'coarse_class': '5.5.0.a', 'coarse_class_num': 1, 'coarse_index': 5, 'coarse_label': '5.5.0.a.1', 'coarse_level': 5, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 1]], 'cusp_widths': [[5, 1]], 'cusps': 1, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 2, 2, 0], [2, 0, 2, 4]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 5, 'isogeny_orbits': [[5, 6, 1]], 'kummer_orbits': [[5, 12, 1]], 'label': '5.5.0.a.1', 'lattice_labels': ['1.1.0.a.1', '5.5.0.a.1'], 'lattice_x': [5000, 5000], 'level': 5, 'level_is_squarefree': True, 'level_radical': 5, 'log_conductor': None, 'mults': None, 'name': 'XS4(5)', 'newforms': [], 'nu2': 1, 'nu3': 2, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 450, 'num_known_degree1_noncusp_points': 450, 'num_known_degree1_points': 450, 'obstructions': [], 'orbits': [[5, 24, 1]], 'parents': ['1.1.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 5, 'psl2label': '5.5.0.a.1', 'psl2level': 5, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 1, 'reductions': [], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '5.5.0.a.1', 'sl2level': 5, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  29. label: 5.6.0.a.1
    {'CPlabel': '5B0', 'Glabel': '80.30', 'RSZBlabel': '5.6.0.1', 'RZBlabel': None, 'SZlabel': '5B0-5a', 'Slabel': '5B', 'all_degree1_points_known': None, 'bad_primes': [5], 'canonical_conjugator': [0, 1, 4, 4], 'canonical_generators': [[0, 1, 3, 2], [0, 1, 4, 3], [0, 2, 2, 0], [0, 2, 3, 1]], 'cm_discriminants': [], 'coarse_class': '5.6.0.a', 'coarse_class_num': 1, 'coarse_index': 6, 'coarse_label': '5.6.0.a.1', 'coarse_level': 5, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2]], 'cusp_widths': [[1, 1], [5, 1]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[2, 2, 0, 1], [3, 4, 0, 3]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 6, 'isogeny_orbits': [[5, 1, 1], [5, 5, 1]], 'kummer_orbits': [[5, 2, 1], [5, 10, 1]], 'label': '5.6.0.a.1', 'lattice_labels': ['1.1.0.a.1', '5.6.0.a.1'], 'lattice_x': [5000, 5000], 'level': 5, 'level_is_squarefree': True, 'level_radical': 5, 'log_conductor': None, 'mults': None, 'name': 'X0(5)', 'newforms': [], 'nu2': 2, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 12794, 'num_known_degree1_noncusp_points': 12816, 'num_known_degree1_points': 12816, 'obstructions': [], 'orbits': [[5, 4, 1], [5, 20, 1]], 'parents': ['1.1.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 6, 'psl2label': '5.6.0.a.1', 'psl2level': 5, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '5.6.0.a.1', 'sl2level': 5, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  30. label: 5.10.0.a.1
    {'CPlabel': '5C0', 'Glabel': '48.5', 'RSZBlabel': '5.10.0.1', 'RZBlabel': None, 'SZlabel': '5C0-5a', 'Slabel': '5Nn', 'all_degree1_points_known': None, 'bad_primes': [5], 'canonical_conjugator': [4, 0, 0, 1], 'canonical_generators': [[0, 1, 4, 1], [0, 2, 2, 0], [2, 2, 3, 4]], 'cm_discriminants': [-3, -7, -8, -12, -27, -28, -43, -67, -163], 'coarse_class': '5.10.0.a', 'coarse_class_num': 1, 'coarse_index': 10, 'coarse_label': '5.10.0.a.1', 'coarse_level': 5, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 1]], 'cusp_widths': [[5, 2]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[3, 4, 1, 2], [4, 4, 0, 1]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 10, 'isogeny_orbits': [[5, 6, 1]], 'kummer_orbits': [[5, 12, 1]], 'label': '5.10.0.a.1', 'lattice_labels': ['1.1.0.a.1', '5.10.0.a.1'], 'lattice_x': [5000, 5000], 'level': 5, 'level_is_squarefree': True, 'level_radical': 5, 'log_conductor': None, 'mults': None, 'name': 'Xns+(5)', 'newforms': [], 'nu2': 2, 'nu3': 1, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 154, 'num_known_degree1_noncusp_points': 156, 'num_known_degree1_points': 156, 'obstructions': [], 'orbits': [[5, 24, 1]], 'parents': ['1.1.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 10, 'psl2label': '5.10.0.a.1', 'psl2level': 5, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 0, 'reductions': [], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '5.10.0.a.1', 'sl2level': 5, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  31. label: 5.12.0.a.1
    {'CPlabel': '5D0', 'Glabel': '40.12', 'RSZBlabel': '5.12.0.1', 'RZBlabel': None, 'SZlabel': '5D0-5b', 'Slabel': '5B.4.1', 'all_degree1_points_known': None, 'bad_primes': [5], 'canonical_conjugator': [0, 1, 4, 4], 'canonical_generators': [[0, 1, 3, 2], [0, 1, 4, 3]], 'cm_discriminants': [], 'coarse_class': '5.12.0.a', 'coarse_class_num': 1, 'coarse_index': 12, 'coarse_label': '5.12.0.a.1', 'coarse_level': 5, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 1]], 'cusp_widths': [[1, 2], [5, 2]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[4, 2, 0, 3], [4, 2, 0, 4]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 12, 'isogeny_orbits': [[5, 1, 1], [5, 5, 1]], 'kummer_orbits': [[5, 1, 2], [5, 10, 1]], 'label': '5.12.0.a.1', 'lattice_labels': ['1.1.0.a.1', '5.6.0.a.1', '5.12.0.a.1'], 'lattice_x': [5000, 5000, 5000], 'level': 5, 'level_is_squarefree': True, 'level_radical': 5, 'log_conductor': None, 'mults': None, 'name': 'Xpm1(5)', 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 5334, 'num_known_degree1_noncusp_points': 5342, 'num_known_degree1_points': 5342, 'obstructions': [], 'orbits': [[5, 2, 2], [5, 20, 1]], 'parents': ['5.6.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 12, 'psl2label': '5.12.0.a.1', 'psl2level': 5, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '5.2.1', 'simple': None, 'sl2label': '5.12.0.a.1', 'sl2level': 5, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  32. label: 5.12.0.a.2
    {'CPlabel': '5D0', 'Glabel': '40.12', 'RSZBlabel': '5.12.0.2', 'RZBlabel': None, 'SZlabel': '5D0-5a', 'Slabel': '5B.4.2', 'all_degree1_points_known': None, 'bad_primes': [5], 'canonical_conjugator': [0, 1, 4, 4], 'canonical_generators': [[0, 1, 4, 3], [0, 2, 4, 2]], 'cm_discriminants': [], 'coarse_class': '5.12.0.a', 'coarse_class_num': 1, 'coarse_index': 12, 'coarse_label': '5.12.0.a.2', 'coarse_level': 5, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 1]], 'cusp_widths': [[1, 2], [5, 2]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 0, 0, 4], [2, 2, 0, 4]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 12, 'isogeny_orbits': [[5, 1, 1], [5, 5, 1]], 'kummer_orbits': [[5, 2, 1], [5, 5, 2]], 'label': '5.12.0.a.2', 'lattice_labels': ['1.1.0.a.1', '5.6.0.a.1', '5.12.0.a.2'], 'lattice_x': [5000, 5000, 5000], 'level': 5, 'level_is_squarefree': True, 'level_radical': 5, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 5380, 'num_known_degree1_noncusp_points': 5387, 'num_known_degree1_points': 5387, 'obstructions': [], 'orbits': [[5, 4, 1], [5, 10, 2]], 'parents': ['5.6.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 12, 'psl2label': '5.12.0.a.1', 'psl2level': 5, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '5.2.1', 'simple': None, 'sl2label': '5.12.0.a.1', 'sl2level': 5, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  33. label: 5.15.0.a.1
    {'CPlabel': '5E0', 'Glabel': '32.11', 'RSZBlabel': '5.15.0.1', 'RZBlabel': None, 'SZlabel': '5E0-5a', 'Slabel': '5Ns', 'all_degree1_points_known': None, 'bad_primes': [5], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 3, 0], [0, 1, 4, 0], [0, 2, 2, 0]], 'cm_discriminants': [-3, -4, -11, -16, -19], 'coarse_class': '5.15.0.a', 'coarse_class_num': 1, 'coarse_index': 15, 'coarse_label': '5.15.0.a.1', 'coarse_level': 5, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 1], [2, 1]], 'cusp_widths': [[5, 3]], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[0, 1, 2, 0], [4, 0, 0, 3]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 15, 'isogeny_orbits': [[5, 2, 1], [5, 4, 1]], 'kummer_orbits': [[5, 4, 1], [5, 8, 1]], 'label': '5.15.0.a.1', 'lattice_labels': ['1.1.0.a.1', '5.5.0.a.1', '5.15.0.a.1'], 'lattice_x': [5000, 5000, 5000], 'level': 5, 'level_is_squarefree': True, 'level_radical': 5, 'log_conductor': None, 'mults': None, 'name': 'Xsp+(5)', 'newforms': [], 'nu2': 3, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 214, 'num_known_degree1_noncusp_points': 214, 'num_known_degree1_points': 214, 'obstructions': [], 'orbits': [[5, 8, 1], [5, 16, 1]], 'parents': ['5.5.0.a.1'], 'parents_conj': [[2, 1, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 15, 'psl2label': '5.15.0.a.1', 'psl2level': 5, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 1, 'reductions': [], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '5.15.0.a.1', 'sl2level': 5, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  34. label: 5.20.0.a.1
    {'CPlabel': '5F0', 'Glabel': '24.2', 'RSZBlabel': '5.20.0.2', 'RZBlabel': None, 'SZlabel': None, 'Slabel': '5Cn', 'all_degree1_points_known': None, 'bad_primes': [5], 'canonical_conjugator': [2, 4, 0, 1], 'canonical_generators': [[0, 1, 4, 1], [2, 2, 3, 4]], 'cm_discriminants': [], 'coarse_class': '5.20.0.a', 'coarse_class_num': 1, 'coarse_index': 20, 'coarse_label': '5.20.0.a.1', 'coarse_level': 5, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[4, 1]], 'cusp_widths': [[5, 4]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 4, 2, 1]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': 1, 'index': 20, 'isogeny_orbits': [[5, 6, 1]], 'kummer_orbits': [[5, 12, 1]], 'label': '5.20.0.a.1', 'lattice_labels': ['1.1.0.a.1', '5.10.0.a.1', '5.20.0.a.1'], 'lattice_x': [5000, 5000, 5000], 'level': 5, 'level_is_squarefree': True, 'level_radical': 5, 'log_conductor': None, 'mults': None, 'name': 'Xns(5)', 'newforms': [], 'nu2': 0, 'nu3': 2, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 26, 'num_known_degree1_noncusp_points': 26, 'num_known_degree1_points': 26, 'obstructions': [0], 'orbits': [[5, 24, 1]], 'parents': ['5.10.0.a.1'], 'parents_conj': [[2, 3, 2, 2]], 'pointless': True, 'power': None, 'psl2index': 20, 'psl2label': '5.20.0.a.1', 'psl2level': 5, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 0, 'reductions': [], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '5.20.0.a.1', 'sl2level': 5, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  35. label: 5.20.0.b.1
    {'CPlabel': '5F0', 'Glabel': '24.1', 'RSZBlabel': '5.20.0.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': '5Nn.1.1.1', 'all_degree1_points_known': None, 'bad_primes': [5], 'canonical_conjugator': [4, 0, 0, 1], 'canonical_generators': [[0, 1, 4, 1], [0, 2, 3, 2], [1, 1, 2, 4]], 'cm_discriminants': [], 'coarse_class': '5.20.0.b', 'coarse_class_num': 2, 'coarse_index': 20, 'coarse_label': '5.20.0.b.1', 'coarse_level': 5, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[4, 1]], 'cusp_widths': [[5, 4]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[0, 4, 1, 1], [3, 2, 4, 2]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': 1, 'index': 20, 'isogeny_orbits': [[5, 6, 1]], 'kummer_orbits': [[5, 12, 1]], 'label': '5.20.0.b.1', 'lattice_labels': ['1.1.0.a.1', '5.5.0.a.1', '5.10.0.a.1', '5.20.0.b.1'], 'lattice_x': [4847, 2143, 7602, 4847], 'level': 5, 'level_is_squarefree': True, 'level_radical': 5, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 2, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 9, 'num_known_degree1_noncusp_points': 9, 'num_known_degree1_points': 9, 'obstructions': [0], 'orbits': [[5, 24, 1]], 'parents': ['5.5.0.a.1', '5.10.0.a.1'], 'parents_conj': [[1, 4, 0, 1], [1, 0, 0, 1]], 'pointless': True, 'power': None, 'psl2index': 20, 'psl2label': '5.20.0.a.1', 'psl2level': 5, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 0, 'reductions': [], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '5.20.0.a.1', 'sl2level': 5, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  36. label: 5.30.0.a.1
    {'CPlabel': '5G0', 'Glabel': '16.2', 'RSZBlabel': '5.30.0.1', 'RZBlabel': None, 'SZlabel': '5G0-5a', 'Slabel': '5Cs', 'all_degree1_points_known': None, 'bad_primes': [5], 'canonical_conjugator': [3, 4, 4, 3], 'canonical_generators': [[0, 1, 4, 0], [1, 1, 4, 1]], 'cm_discriminants': [], 'coarse_class': '5.30.0.a', 'coarse_class_num': 1, 'coarse_index': 30, 'coarse_label': '5.30.0.a.1', 'coarse_level': 5, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [4, 1]], 'cusp_widths': [[5, 6]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 0, 0, 2], [3, 0, 0, 3]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 30, 'isogeny_orbits': [[5, 1, 2], [5, 4, 1]], 'kummer_orbits': [[5, 2, 2], [5, 8, 1]], 'label': '5.30.0.a.1', 'lattice_labels': ['1.1.0.a.1', '5.5.0.a.1', '5.6.0.a.1', '5.15.0.a.1', '5.30.0.a.1'], 'lattice_x': [5269, 2957, 8011, 2527, 5269], 'level': 5, 'level_is_squarefree': True, 'level_radical': 5, 'log_conductor': None, 'mults': None, 'name': 'Xsp(5)', 'newforms': [], 'nu2': 2, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 75, 'num_known_degree1_noncusp_points': 75, 'num_known_degree1_points': 75, 'obstructions': [], 'orbits': [[5, 4, 2], [5, 16, 1]], 'parents': ['5.6.0.a.1', '5.15.0.a.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 30, 'psl2label': '5.30.0.a.1', 'psl2level': 5, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '5.30.0.a.1', 'sl2level': 5, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  37. label: 5.30.0.b.1
    {'CPlabel': '5G0', 'Glabel': '16.6', 'RSZBlabel': '5.30.0.2', 'RZBlabel': None, 'SZlabel': '5G0-5b', 'Slabel': '5Ns.2.1', 'all_degree1_points_known': None, 'bad_primes': [5], 'canonical_conjugator': [3, 4, 4, 3], 'canonical_generators': [[0, 1, 4, 0], [2, 2, 2, 3]], 'cm_discriminants': [-3], 'coarse_class': '5.30.0.b', 'coarse_class_num': 2, 'coarse_index': 30, 'coarse_label': '5.30.0.b.1', 'coarse_level': 5, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 1], [4, 1]], 'cusp_widths': [[5, 6]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[0, 3, 4, 0], [4, 0, 0, 1]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 30, 'isogeny_orbits': [[5, 2, 1], [5, 4, 1]], 'kummer_orbits': [[5, 4, 1], [5, 8, 1]], 'label': '5.30.0.b.1', 'lattice_labels': ['1.1.0.a.1', '5.5.0.a.1', '5.10.0.a.1', '5.15.0.a.1', '5.30.0.b.1'], 'lattice_x': [4952, 2767, 7718, 2282, 5000], 'level': 5, 'level_is_squarefree': True, 'level_radical': 5, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 2, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 17, 'num_known_degree1_noncusp_points': 17, 'num_known_degree1_points': 17, 'obstructions': [], 'orbits': [[5, 8, 1], [5, 16, 1]], 'parents': ['5.10.0.a.1', '5.15.0.a.1'], 'parents_conj': [[0, 3, 2, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 30, 'psl2label': '5.30.0.a.1', 'psl2level': 5, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 0, 'reductions': [], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '5.30.0.a.1', 'sl2level': 5, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  38. label: 5.60.0.a.1
    {'CPlabel': '5H0', 'Glabel': '8.2', 'RSZBlabel': '5.60.0.1', 'RZBlabel': None, 'SZlabel': '5H0-5a', 'Slabel': '5Cs.4.1', 'all_degree1_points_known': None, 'bad_primes': [5], 'canonical_conjugator': [1, 3, 4, 4], 'canonical_generators': [[0, 1, 3, 2], [4, 0, 0, 4]], 'cm_discriminants': [], 'coarse_class': '5.60.0.a', 'coarse_class_num': 1, 'coarse_index': 60, 'coarse_label': '5.60.0.a.1', 'coarse_level': 5, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 1], [4, 2]], 'cusp_widths': [[5, 12]], 'cusps': 12, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 0, 0, 2], [4, 0, 0, 4]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 60, 'isogeny_orbits': [[5, 1, 2], [5, 4, 1]], 'kummer_orbits': [[5, 1, 2], [5, 2, 1], [5, 4, 2]], 'label': '5.60.0.a.1', 'lattice_labels': ['1.1.0.a.1', '5.5.0.a.1', '5.6.0.a.1', '5.12.0.a.1', '5.12.0.a.2', '5.15.0.a.1', '5.30.0.a.1', '5.60.0.a.1'], 'lattice_x': [3590, 2308, 5494, 5568, 9011, 1722, 1612, 5568], 'level': 5, 'level_is_squarefree': True, 'level_radical': 5, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 44, 'num_known_degree1_noncusp_points': 44, 'num_known_degree1_points': 44, 'obstructions': [], 'orbits': [[5, 2, 2], [5, 4, 1], [5, 8, 2]], 'parents': ['5.12.0.a.1', '5.12.0.a.2', '5.30.0.a.1'], 'parents_conj': [[1, 0, 0, 1], [0, 1, 4, 0], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 60, 'psl2label': '5.60.0.a.1', 'psl2level': 5, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '5.2.1', 'simple': None, 'sl2label': '5.60.0.a.1', 'sl2level': 5, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  39. label: 5.60.0.b.1
    {'CPlabel': '5H0', 'Glabel': '8.1', 'RSZBlabel': '5.60.0.2', 'RZBlabel': None, 'SZlabel': None, 'Slabel': '5Cn.0.1', 'all_degree1_points_known': None, 'bad_primes': [5], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 3, 0], [4, 0, 0, 4]], 'cm_discriminants': [], 'coarse_class': '5.60.0.b', 'coarse_class_num': 2, 'coarse_index': 60, 'coarse_label': '5.60.0.b.1', 'coarse_level': 5, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[4, 3]], 'cusp_widths': [[5, 12]], 'cusps': 12, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[0, 1, 3, 0]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': 1, 'index': 60, 'isogeny_orbits': [[5, 2, 3]], 'kummer_orbits': [[5, 4, 3]], 'label': '5.60.0.b.1', 'lattice_labels': ['1.1.0.a.1', '5.5.0.a.1', '5.10.0.a.1', '5.15.0.a.1', '5.20.0.a.1', '5.20.0.b.1', '5.30.0.b.1', '5.60.0.b.1'], 'lattice_x': [3614, 5100, 2088, 8113, 1647, 5100, 7992, 5100], 'level': 5, 'level_is_squarefree': True, 'level_radical': 5, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 4, 'num_known_degree1_noncusp_points': 4, 'num_known_degree1_points': 4, 'obstructions': [0], 'orbits': [[5, 8, 3]], 'parents': ['5.20.0.a.1', '5.20.0.b.1', '5.30.0.b.1'], 'parents_conj': [[1, 0, 0, 1], [4, 0, 2, 1], [1, 0, 0, 1]], 'pointless': True, 'power': None, 'psl2index': 60, 'psl2label': '5.60.0.a.1', 'psl2level': 5, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 0, 'reductions': [], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '5.60.0.a.1', 'sl2level': 5, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  40. label: 6.2.0.a.1
    {'CPlabel': '2A0', 'Glabel': '144.125', 'RSZBlabel': '6.2.0.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 1, 4], [1, 0, 2, 1], [1, 2, 0, 1], [3, 2, 4, 5], [4, 3, 3, 1]], 'cm_discriminants': [-3, -4, -27], 'coarse_class': '6.2.0.a', 'coarse_class_num': 1, 'coarse_index': 2, 'coarse_label': '6.2.0.a.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 1]], 'cusp_widths': [[2, 1]], 'cusps': 1, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 1, 0, 5], [1, 2, 5, 3], [5, 4, 0, 5]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 2, 'isogeny_orbits': [[2, 3, 1], [3, 4, 1], [6, 12, 1]], 'kummer_orbits': [[2, 3, 1], [3, 4, 1], [6, 12, 1]], 'label': '6.2.0.a.1', 'lattice_labels': ['1.1.0.a.1', '6.2.0.a.1'], 'lattice_x': [5000, 5000], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 2, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 11298, 'num_known_degree1_noncusp_points': 11302, 'num_known_degree1_points': 11302, 'obstructions': [], 'orbits': [[2, 3, 1], [3, 8, 1], [6, 24, 1]], 'parents': ['1.1.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 2, 'psl2label': '2.2.0.a.1', 'psl2level': 2, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 1, 'reductions': ['1.1.0.a.1', '1.1.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '2.2.0.a.1', 'sl2level': 2, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  41. label: 6.6.0.a.1
    {'CPlabel': '2C0', 'Glabel': '48.29', 'RSZBlabel': '6.6.0.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [5, 0, 3, 5], 'canonical_generators': [[0, 1, 1, 4], [1, 0, 2, 1], [1, 2, 0, 1], [3, 2, 4, 5]], 'cm_discriminants': [-3, -4], 'coarse_class': '6.6.0.a', 'coarse_class_num': 1, 'coarse_index': 6, 'coarse_label': '6.6.0.a.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 1], [2, 1]], 'cusp_widths': [[2, 3]], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 1, 0, 5], [5, 0, 2, 5]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 6, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [6, 4, 1], [6, 8, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [6, 4, 1], [6, 8, 1]], 'label': '6.6.0.a.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '6.2.0.a.1', '6.6.0.a.1'], 'lattice_x': [5342, 2534, 8151, 5342], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 6343, 'num_known_degree1_noncusp_points': 6345, 'num_known_degree1_points': 6345, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 8, 1], [6, 8, 1], [6, 16, 1]], 'parents': ['2.3.0.a.1', '6.2.0.a.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 6, 'psl2label': '2.6.0.a.1', 'psl2level': 2, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 1, 'reductions': ['1.1.0.a.1', '2.3.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '2.6.0.a.1', 'sl2level': 2, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  42. label: 6.6.0.b.1
    {'CPlabel': '6A0', 'Glabel': '48.29', 'RSZBlabel': '6.6.0.4', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [5, 4, 0, 1], 'canonical_generators': [[0, 1, 1, 4], [0, 1, 5, 1], [2, 1, 3, 5]], 'cm_discriminants': [-3, -4], 'coarse_class': '6.6.0.b', 'coarse_class_num': 2, 'coarse_index': 6, 'coarse_label': '6.6.0.b.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 1]], 'cusp_widths': [[6, 1]], 'cusps': 1, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[4, 1, 3, 1], [4, 1, 5, 4]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 6, 'isogeny_orbits': [[2, 3, 1], [3, 4, 1], [6, 12, 1]], 'kummer_orbits': [[2, 3, 1], [3, 4, 1], [6, 12, 1]], 'label': '6.6.0.b.1', 'lattice_labels': ['1.1.0.a.1', '6.2.0.a.1', '6.6.0.b.1'], 'lattice_x': [5000, 5000, 5000], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 3, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 50, 'num_known_degree1_noncusp_points': 50, 'num_known_degree1_points': 50, 'obstructions': [], 'orbits': [[2, 3, 1], [3, 8, 1], [6, 24, 1]], 'parents': ['6.2.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 6, 'psl2label': '6.6.0.a.1', 'psl2level': 6, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 1, 'reductions': ['1.1.0.a.1', '1.1.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '6.6.0.a.1', 'sl2level': 6, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  43. label: 6.6.0.c.1
    {'CPlabel': '6B0', 'Glabel': '48.16', 'RSZBlabel': '6.6.0.2', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 5, 3], [1, 1, 4, 5], [2, 1, 5, 2]], 'cm_discriminants': [-4], 'coarse_class': '6.6.0.c', 'coarse_class_num': 3, 'coarse_index': 6, 'coarse_label': '6.6.0.c.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 1]], 'cusp_widths': [[6, 1]], 'cusps': 1, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[5, 1, 4, 1], [5, 4, 5, 5]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 6, 'isogeny_orbits': [[2, 3, 1], [3, 4, 1], [6, 12, 1]], 'kummer_orbits': [[2, 3, 1], [3, 4, 1], [6, 12, 1]], 'label': '6.6.0.c.1', 'lattice_labels': ['1.1.0.a.1', '3.3.0.a.1', '6.6.0.c.1'], 'lattice_x': [5000, 5000, 5000], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 4, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 18, 'num_known_degree1_noncusp_points': 19, 'num_known_degree1_points': 19, 'obstructions': [], 'orbits': [[2, 3, 1], [3, 8, 1], [6, 24, 1]], 'parents': ['3.3.0.a.1'], 'parents_conj': [[1, 1, 3, 2]], 'pointless': False, 'power': None, 'psl2index': 6, 'psl2label': '6.6.0.b.1', 'psl2level': 6, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 1, 'reductions': ['1.1.0.a.1', '3.3.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '6.6.0.b.1', 'sl2level': 6, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  44. label: 6.6.0.d.1
    {'CPlabel': '6B0', 'Glabel': '48.6', 'RSZBlabel': '6.6.0.3', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [5, 5, 0, 1], 'canonical_generators': [[0, 1, 5, 3], [1, 1, 4, 5], [2, 1, 5, 5]], 'cm_discriminants': [-3, -4, -7, -19, -43, -67, -163], 'coarse_class': '6.6.0.d', 'coarse_class_num': 4, 'coarse_index': 6, 'coarse_label': '6.6.0.d.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 1]], 'cusp_widths': [[6, 1]], 'cusps': 1, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 0, 5, 5], [3, 5, 5, 4]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 6, 'isogeny_orbits': [[2, 3, 1], [3, 4, 1], [6, 12, 1]], 'kummer_orbits': [[2, 3, 1], [3, 4, 1], [6, 12, 1]], 'label': '6.6.0.d.1', 'lattice_labels': ['1.1.0.a.1', '3.3.0.a.1', '6.6.0.d.1'], 'lattice_x': [5000, 5000, 5000], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': None, 'mults': None, 'name': 'Xns+(6)', 'newforms': [], 'nu2': 4, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 20, 'num_known_degree1_noncusp_points': 21, 'num_known_degree1_points': 21, 'obstructions': [], 'orbits': [[2, 3, 1], [3, 8, 1], [6, 24, 1]], 'parents': ['3.3.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 6, 'psl2label': '6.6.0.b.1', 'psl2level': 6, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 1, 'reductions': ['1.1.0.a.1', '3.3.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '6.6.0.b.1', 'sl2level': 6, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  45. label: 6.6.1.a.1
    {'CPlabel': '6A1', 'Glabel': '48.26', 'RSZBlabel': '6.6.1.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [1, 5, 0, 1], 'canonical_generators': [[0, 1, 1, 1], [0, 1, 5, 3], [1, 1, 1, 2]], 'cm_discriminants': [-4], 'coarse_class': '6.6.1.a', 'coarse_class_num': 1, 'coarse_index': 6, 'coarse_label': '6.6.1.a.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': [[2, 2], [3, 2]], 'contains_negative_one': True, 'curve_label': '36.a3', 'cusp_orbits': [[1, 1]], 'cusp_widths': [[6, 1]], 'cusps': 1, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': ['2.2.0.a.1', '3.3.0.a.1'], 'fine_num': 0, 'generators': [[1, 3, 3, 2], [1, 5, 5, 2]], 'genus': 1, 'genus_minus_rank': 1, 'has_obstruction': -1, 'index': 6, 'isogeny_orbits': [[2, 3, 1], [3, 4, 1], [6, 12, 1]], 'kummer_orbits': [[2, 3, 1], [3, 4, 1], [6, 12, 1]], 'label': '6.6.1.a.1', 'lattice_labels': ['1.1.0.a.1', '2.2.0.a.1', '3.3.0.a.1', '6.6.1.a.1'], 'lattice_x': [5155, 7887, 2423, 5155], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': {'__RealLiteral__': 0, 'data': '3.58351893845611000162', 'prec': 74}, 'mults': [1], 'name': None, 'newforms': ['36.2.a.a'], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 2, 'num_known_degree1_noncusp_points': 2, 'num_known_degree1_points': 2, 'obstructions': [], 'orbits': [[2, 3, 1], [3, 8, 1], [6, 24, 1]], 'parents': ['2.2.0.a.1', '3.3.0.a.1'], 'parents_conj': [[1, 0, 0, 1], [0, 5, 1, 1]], 'pointless': False, 'power': True, 'psl2index': 6, 'psl2label': '6.6.1.a.1', 'psl2level': 6, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 0, 'rational_cusps': 1, 'reductions': ['2.2.0.a.1', '3.3.0.a.1'], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '6.6.1.a.1', 'sl2level': 6, 'squarefree': True, 'trace_hash': 1143229866697692889, 'traces': [0, 0, 0, -4, 0, 2, 0, 8, 0, 0, -4, -10, 0, 8, 0, 0, 0, 14, -16, 0, -10, -4, 0, 0, 14, 0, 20, 0, 2, 0, 20, 0, 0, -16, 0, -4, 14, 8, 0, 0, 0, 26, 0, 2, 0, -28, -16, -28, 0, -22, 0, 0, 14, 0, 0, 0, 0, -28, 26, 0, 32, 0, -16, 0, -22, 0, 32, -34, 0, 14, 0, 0, -4, 38, 8, 0, 0, -34, 0, 38, 0, -22, 0, 2, -28, 0, 0, -10, 0, 20, 0, 0, 44, 0, 32, 0, 0, 0, 8, -46, -40, 0, 0, 0, -16, -46, 0, 0, 0, 26, 20, -10, 0, 32, 44, 0, -40, 0, 0, 0, 38, 50, 0, 0, 8, 0, -22, 0, 44, 50, -16, 0, -52, 26, 0, 2, 0, 56, 0, 0, 56, 0, -52, 0, -46, 0, -58, 0, 56, 0, -34, 0, 8, 0, -40, 0, -52, 0, 26, 0, 0, 0, 20, 0, 0, 0, 44, -10]}
  46. label: 6.6.1.b.1
    {'CPlabel': '6A1', 'Glabel': '48.17', 'RSZBlabel': '6.6.1.2', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [1, 5, 0, 1], 'canonical_generators': [[0, 1, 1, 4], [0, 1, 5, 3], [1, 1, 1, 2]], 'cm_discriminants': [-3, -4], 'coarse_class': '6.6.1.b', 'coarse_class_num': 2, 'coarse_index': 6, 'coarse_label': '6.6.1.b.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': [[2, 2], [3, 2]], 'contains_negative_one': True, 'curve_label': '36.a4', 'cusp_orbits': [[1, 1]], 'cusp_widths': [[6, 1]], 'cusps': 1, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[5, 1, 1, 4], [5, 1, 2, 5]], 'genus': 1, 'genus_minus_rank': 1, 'has_obstruction': -1, 'index': 6, 'isogeny_orbits': [[2, 3, 1], [3, 4, 1], [6, 12, 1]], 'kummer_orbits': [[2, 3, 1], [3, 4, 1], [6, 12, 1]], 'label': '6.6.1.b.1', 'lattice_labels': ['1.1.0.a.1', '3.3.0.a.1', '6.2.0.a.1', '6.6.1.b.1'], 'lattice_x': [5602, 2831, 8374, 5602], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': {'__RealLiteral__': 0, 'data': '3.58351893845611000162', 'prec': 74}, 'mults': [1], 'name': None, 'newforms': ['36.2.a.a'], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 3, 'num_known_degree1_noncusp_points': 4, 'num_known_degree1_points': 4, 'obstructions': [], 'orbits': [[2, 3, 1], [3, 8, 1], [6, 24, 1]], 'parents': ['3.3.0.a.1', '6.2.0.a.1'], 'parents_conj': [[3, 4, 5, 5], [1, 0, 0, 1]], 'pointless': False, 'power': True, 'psl2index': 6, 'psl2label': '6.6.1.a.1', 'psl2level': 6, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 0, 'rational_cusps': 1, 'reductions': ['1.1.0.a.1', '3.3.0.a.1'], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '6.6.1.a.1', 'sl2level': 6, 'squarefree': True, 'trace_hash': 1143229866697692889, 'traces': [0, 0, 0, -4, 0, 2, 0, 8, 0, 0, -4, -10, 0, 8, 0, 0, 0, 14, -16, 0, -10, -4, 0, 0, 14, 0, 20, 0, 2, 0, 20, 0, 0, -16, 0, -4, 14, 8, 0, 0, 0, 26, 0, 2, 0, -28, -16, -28, 0, -22, 0, 0, 14, 0, 0, 0, 0, -28, 26, 0, 32, 0, -16, 0, -22, 0, 32, -34, 0, 14, 0, 0, -4, 38, 8, 0, 0, -34, 0, 38, 0, -22, 0, 2, -28, 0, 0, -10, 0, 20, 0, 0, 44, 0, 32, 0, 0, 0, 8, -46, -40, 0, 0, 0, -16, -46, 0, 0, 0, 26, 20, -10, 0, 32, 44, 0, -40, 0, 0, 0, 38, 50, 0, 0, 8, 0, -22, 0, 44, 50, -16, 0, -52, 26, 0, 2, 0, 56, 0, 0, 56, 0, -52, 0, -46, 0, -58, 0, 56, 0, -34, 0, 8, 0, -40, 0, -52, 0, 26, 0, 0, 0, 20, 0, 0, 0, 44, -10]}
  47. label: 6.8.0.a.1
    {'CPlabel': '6C0', 'Glabel': '36.12', 'RSZBlabel': '6.8.0.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [5, 0, 5, 5], 'canonical_generators': [[0, 1, 1, 3], [0, 1, 5, 1], [3, 1, 5, 4]], 'cm_discriminants': [], 'coarse_class': '6.8.0.a', 'coarse_class_num': 1, 'coarse_index': 8, 'coarse_label': '6.8.0.a.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2]], 'cusp_widths': [[2, 1], [6, 1]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': None, 'factorization': ['2.2.0.a.1', '3.4.0.a.1'], 'fine_num': 0, 'generators': [[2, 5, 3, 5], [5, 5, 3, 4]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 8, 'isogeny_orbits': [[2, 3, 1], [3, 1, 1], [3, 3, 1], [6, 3, 1], [6, 9, 1]], 'kummer_orbits': [[2, 3, 1], [3, 1, 1], [3, 3, 1], [6, 3, 1], [6, 9, 1]], 'label': '6.8.0.a.1', 'lattice_labels': ['1.1.0.a.1', '2.2.0.a.1', '3.4.0.a.1', '6.8.0.a.1'], 'lattice_x': [4885, 7643, 2126, 4885], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 2, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 224, 'num_known_degree1_noncusp_points': 225, 'num_known_degree1_points': 225, 'obstructions': [], 'orbits': [[2, 3, 1], [3, 2, 1], [3, 6, 1], [6, 6, 1], [6, 18, 1]], 'parents': ['2.2.0.a.1', '3.4.0.a.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 8, 'psl2label': '6.8.0.a.1', 'psl2level': 6, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': ['2.2.0.a.1', '3.4.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '6.8.0.a.1', 'sl2level': 6, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  48. label: 6.8.0.b.1
    {'CPlabel': '6C0', 'Glabel': '36.13', 'RSZBlabel': '6.8.0.4', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [5, 0, 5, 5], 'canonical_generators': [[0, 1, 1, 0], [0, 1, 5, 1], [3, 1, 5, 4]], 'cm_discriminants': [-3, -27], 'coarse_class': '6.8.0.b', 'coarse_class_num': 2, 'coarse_index': 8, 'coarse_label': '6.8.0.b.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2]], 'cusp_widths': [[2, 1], [6, 1]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 2, 0, 1], [1, 3, 0, 5], [2, 3, 3, 4]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 8, 'isogeny_orbits': [[2, 3, 1], [3, 1, 1], [3, 3, 1], [6, 3, 1], [6, 9, 1]], 'kummer_orbits': [[2, 3, 1], [3, 1, 1], [3, 3, 1], [6, 3, 1], [6, 9, 1]], 'label': '6.8.0.b.1', 'lattice_labels': ['1.1.0.a.1', '3.4.0.a.1', '6.2.0.a.1', '6.8.0.b.1'], 'lattice_x': [4657, 7466, 1849, 4657], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 2, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 432, 'num_known_degree1_noncusp_points': 433, 'num_known_degree1_points': 433, 'obstructions': [], 'orbits': [[2, 3, 1], [3, 2, 1], [3, 6, 1], [6, 6, 1], [6, 18, 1]], 'parents': ['3.4.0.a.1', '6.2.0.a.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 8, 'psl2label': '6.8.0.a.1', 'psl2level': 6, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': ['1.1.0.a.1', '3.4.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '6.8.0.a.1', 'sl2level': 6, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  49. label: 6.9.0.a.1
    {'CPlabel': '6D0', 'Glabel': '32.40', 'RSZBlabel': '6.9.0.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [1, 0, 5, 5], 'canonical_generators': [[0, 1, 1, 4], [0, 1, 5, 0], [2, 1, 1, 4], [2, 5, 5, 4]], 'cm_discriminants': [-4, -7, -8, -16, -28], 'coarse_class': '6.9.0.a', 'coarse_class_num': 1, 'coarse_index': 9, 'coarse_label': '6.9.0.a.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2]], 'cusp_widths': [[3, 1], [6, 1]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': None, 'factorization': ['2.3.0.a.1', '3.3.0.a.1'], 'fine_num': 0, 'generators': [[1, 3, 0, 5], [3, 2, 2, 3], [5, 1, 2, 5]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 9, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [6, 4, 1], [6, 8, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [6, 4, 1], [6, 8, 1]], 'label': '6.9.0.a.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '3.3.0.a.1', '6.9.0.a.1'], 'lattice_x': [4731, 1989, 7473, 4731], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 3, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 210, 'num_known_degree1_noncusp_points': 210, 'num_known_degree1_points': 210, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 8, 1], [6, 8, 1], [6, 16, 1]], 'parents': ['2.3.0.a.1', '3.3.0.a.1'], 'parents_conj': [[1, 0, 0, 1], [1, 1, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 9, 'psl2label': '6.9.0.a.1', 'psl2level': 6, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': ['2.3.0.a.1', '3.3.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '6.9.0.a.1', 'sl2level': 6, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  50. label: 6.12.0.a.1
    {'CPlabel': '6F0', 'Glabel': '24.14', 'RSZBlabel': '6.12.0.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [0, 1, 5, 5], 'canonical_generators': [[0, 1, 1, 0], [0, 1, 5, 4], [0, 5, 1, 2]], 'cm_discriminants': [-3, -12], 'coarse_class': '6.12.0.a', 'coarse_class_num': 1, 'coarse_index': 12, 'coarse_label': '6.12.0.a.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 4]], 'cusp_widths': [[1, 1], [2, 1], [3, 1], [6, 1]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': ['2.3.0.a.1', '3.4.0.a.1'], 'fine_num': 0, 'generators': [[1, 4, 0, 5], [1, 5, 0, 5], [5, 3, 0, 1]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 12, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1]], 'label': '6.12.0.a.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1'], 'lattice_x': [5000, 7771, 2229, 5000], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': None, 'mults': None, 'name': 'X0(6)', 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 9109, 'num_known_degree1_noncusp_points': 9114, 'num_known_degree1_points': 9114, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 6, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1]], 'parents': ['2.3.0.a.1', '3.4.0.a.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 12, 'psl2label': '6.12.0.a.1', 'psl2level': 6, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 4, 'reductions': ['2.3.0.a.1', '3.4.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '6.12.0.a.1', 'sl2level': 6, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  51. label: 6.12.0.b.1
    {'CPlabel': '6E0', 'Glabel': '24.8', 'RSZBlabel': '6.12.0.2', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [1, 2, 5, 5], 'canonical_generators': [[0, 1, 1, 3], [0, 1, 5, 0], [2, 3, 3, 5]], 'cm_discriminants': [-3, -11], 'coarse_class': '6.12.0.b', 'coarse_class_num': 2, 'coarse_index': 12, 'coarse_label': '6.12.0.b.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2]], 'cusp_widths': [[6, 2]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 3, 3, 2], [3, 5, 2, 3]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 12, 'isogeny_orbits': [[2, 3, 1], [3, 2, 2], [6, 6, 2]], 'kummer_orbits': [[2, 3, 1], [3, 2, 2], [6, 6, 2]], 'label': '6.12.0.b.1', 'lattice_labels': ['1.1.0.a.1', '3.3.0.a.1', '3.6.0.b.1', '6.12.0.b.1'], 'lattice_x': [5000, 5000, 5000, 5000], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 4, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 16, 'num_known_degree1_noncusp_points': 17, 'num_known_degree1_points': 17, 'obstructions': [], 'orbits': [[2, 3, 1], [3, 4, 2], [6, 12, 2]], 'parents': ['3.6.0.b.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 12, 'psl2label': '6.12.0.b.1', 'psl2level': 6, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': ['1.1.0.a.1', '3.6.0.b.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '6.12.0.b.1', 'sl2level': 6, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  52. label: 6.12.1.a.1
    {'CPlabel': '6B1', 'Glabel': '24.2', 'RSZBlabel': '6.12.1.4', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [1, 0, 4, 5], 'canonical_generators': [[0, 1, 5, 3], [2, 1, 5, 5]], 'cm_discriminants': [], 'coarse_class': '6.12.1.a', 'coarse_class_num': 1, 'coarse_index': 12, 'coarse_label': '6.12.1.a.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': [[2, 2], [3, 2]], 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 1]], 'cusp_widths': [[6, 2]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': ['2.2.0.a.1', '3.6.0.a.1'], 'fine_num': 0, 'generators': [[5, 5, 5, 0]], 'genus': 1, 'genus_minus_rank': 1, 'has_obstruction': 1, 'index': 12, 'isogeny_orbits': [[2, 3, 1], [3, 4, 1], [6, 12, 1]], 'kummer_orbits': [[2, 3, 1], [3, 4, 1], [6, 12, 1]], 'label': '6.12.1.a.1', 'lattice_labels': ['1.1.0.a.1', '2.2.0.a.1', '3.3.0.a.1', '3.6.0.a.1', '6.6.0.d.1', '6.6.1.a.1', '6.12.1.a.1'], 'lattice_x': [3241, 1414, 5069, 4724, 8379, 1759, 4724], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': {'__RealLiteral__': 0, 'data': '3.58351893845611000162', 'prec': 74}, 'mults': [1], 'name': 'Xns(6)', 'newforms': ['36.2.a.a'], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 1, 'num_known_degree1_noncusp_points': 1, 'num_known_degree1_points': 1, 'obstructions': [0], 'orbits': [[2, 3, 1], [3, 8, 1], [6, 24, 1]], 'parents': ['3.6.0.a.1', '6.6.0.d.1', '6.6.1.a.1'], 'parents_conj': [[1, 1, 0, 5], [1, 0, 0, 1], [5, 1, 0, 5]], 'pointless': True, 'power': True, 'psl2index': 12, 'psl2label': '6.12.1.a.1', 'psl2level': 6, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 0, 'rational_cusps': 0, 'reductions': ['2.2.0.a.1', '3.6.0.a.1'], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '6.12.1.a.1', 'sl2level': 6, 'squarefree': True, 'trace_hash': 1143229866697692889, 'traces': [0, 0, 0, -4, 0, 2, 0, 8, 0, 0, -4, -10, 0, 8, 0, 0, 0, 14, -16, 0, -10, -4, 0, 0, 14, 0, 20, 0, 2, 0, 20, 0, 0, -16, 0, -4, 14, 8, 0, 0, 0, 26, 0, 2, 0, -28, -16, -28, 0, -22, 0, 0, 14, 0, 0, 0, 0, -28, 26, 0, 32, 0, -16, 0, -22, 0, 32, -34, 0, 14, 0, 0, -4, 38, 8, 0, 0, -34, 0, 38, 0, -22, 0, 2, -28, 0, 0, -10, 0, 20, 0, 0, 44, 0, 32, 0, 0, 0, 8, -46, -40, 0, 0, 0, -16, -46, 0, 0, 0, 26, 20, -10, 0, 32, 44, 0, -40, 0, 0, 0, 38, 50, 0, 0, 8, 0, -22, 0, 44, 50, -16, 0, -52, 26, 0, 2, 0, 56, 0, 0, 56, 0, -52, 0, -46, 0, -58, 0, 56, 0, -34, 0, 8, 0, -40, 0, -52, 0, 26, 0, 0, 0, 20, 0, 0, 0, 44, -10]}
  53. label: 6.12.1.b.1
    {'CPlabel': '6B1', 'Glabel': '24.10', 'RSZBlabel': '6.12.1.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 1, 3], [0, 1, 5, 3]], 'cm_discriminants': [], 'coarse_class': '6.12.1.b', 'coarse_class_num': 2, 'coarse_index': 12, 'coarse_label': '6.12.1.b.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': [[2, 2], [3, 2]], 'contains_negative_one': True, 'curve_label': '36.a1', 'cusp_orbits': [[1, 2]], 'cusp_widths': [[6, 2]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': ['2.2.0.a.1', '3.6.0.b.1'], 'fine_num': 0, 'generators': [[0, 1, 1, 3], [0, 1, 5, 3]], 'genus': 1, 'genus_minus_rank': 1, 'has_obstruction': -1, 'index': 12, 'isogeny_orbits': [[2, 3, 1], [3, 2, 2], [6, 6, 2]], 'kummer_orbits': [[2, 3, 1], [3, 2, 2], [6, 6, 2]], 'label': '6.12.1.b.1', 'lattice_labels': ['1.1.0.a.1', '2.2.0.a.1', '3.3.0.a.1', '3.6.0.b.1', '6.6.0.c.1', '6.6.1.a.1', '6.12.1.b.1'], 'lattice_x': [3629, 1583, 5676, 5405, 8958, 1853, 5405], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': {'__RealLiteral__': 0, 'data': '3.58351893845611000162', 'prec': 74}, 'mults': [1], 'name': None, 'newforms': ['36.2.a.a'], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 1, 'num_known_degree1_noncusp_points': 1, 'num_known_degree1_points': 1, 'obstructions': [], 'orbits': [[2, 3, 1], [3, 4, 2], [6, 12, 2]], 'parents': ['3.6.0.b.1', '6.6.0.c.1', '6.6.1.a.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': True, 'psl2index': 12, 'psl2label': '6.12.1.a.1', 'psl2level': 6, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 0, 'rational_cusps': 2, 'reductions': ['2.2.0.a.1', '3.6.0.b.1'], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '6.12.1.a.1', 'sl2level': 6, 'squarefree': True, 'trace_hash': 1143229866697692889, 'traces': [0, 0, 0, -4, 0, 2, 0, 8, 0, 0, -4, -10, 0, 8, 0, 0, 0, 14, -16, 0, -10, -4, 0, 0, 14, 0, 20, 0, 2, 0, 20, 0, 0, -16, 0, -4, 14, 8, 0, 0, 0, 26, 0, 2, 0, -28, -16, -28, 0, -22, 0, 0, 14, 0, 0, 0, 0, -28, 26, 0, 32, 0, -16, 0, -22, 0, 32, -34, 0, 14, 0, 0, -4, 38, 8, 0, 0, -34, 0, 38, 0, -22, 0, 2, -28, 0, 0, -10, 0, 20, 0, 0, 44, 0, 32, 0, 0, 0, 8, -46, -40, 0, 0, 0, -16, -46, 0, 0, 0, 26, 20, -10, 0, 32, 44, 0, -40, 0, 0, 0, 38, 50, 0, 0, 8, 0, -22, 0, 44, 50, -16, 0, -52, 26, 0, 2, 0, 56, 0, 0, 56, 0, -52, 0, -46, 0, -58, 0, 56, 0, -34, 0, 8, 0, -40, 0, -52, 0, 26, 0, 0, 0, 20, 0, 0, 0, 44, -10]}
  54. label: 6.12.1.c.1
    {'CPlabel': '6B1', 'Glabel': '24.1', 'RSZBlabel': '6.12.1.3', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 5, 3], [2, 1, 5, 2]], 'cm_discriminants': [], 'coarse_class': '6.12.1.c', 'coarse_class_num': 3, 'coarse_index': 12, 'coarse_label': '6.12.1.c.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': [[2, 2], [3, 2]], 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 1]], 'cusp_widths': [[6, 2]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[2, 1, 5, 2], [5, 5, 4, 5]], 'genus': 1, 'genus_minus_rank': 1, 'has_obstruction': 1, 'index': 12, 'isogeny_orbits': [[2, 3, 1], [3, 4, 1], [6, 12, 1]], 'kummer_orbits': [[2, 3, 1], [3, 4, 1], [6, 12, 1]], 'label': '6.12.1.c.1', 'lattice_labels': ['1.1.0.a.1', '3.3.0.a.1', '3.6.0.a.1', '6.2.0.a.1', '6.6.0.c.1', '6.6.1.b.1', '6.12.1.c.1'], 'lattice_x': [6907, 4958, 1737, 8856, 5381, 8432, 5381], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': {'__RealLiteral__': 0, 'data': '3.58351893845611000162', 'prec': 74}, 'mults': [1], 'name': None, 'newforms': ['36.2.a.a'], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 1, 'num_known_degree1_noncusp_points': 1, 'num_known_degree1_points': 1, 'obstructions': [0], 'orbits': [[2, 3, 1], [3, 8, 1], [6, 24, 1]], 'parents': ['3.6.0.a.1', '6.6.0.c.1', '6.6.1.b.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': True, 'power': True, 'psl2index': 12, 'psl2label': '6.12.1.a.1', 'psl2level': 6, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 0, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '3.6.0.a.1'], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '6.12.1.a.1', 'sl2level': 6, 'squarefree': True, 'trace_hash': 1143229866697692889, 'traces': [0, 0, 0, -4, 0, 2, 0, 8, 0, 0, -4, -10, 0, 8, 0, 0, 0, 14, -16, 0, -10, -4, 0, 0, 14, 0, 20, 0, 2, 0, 20, 0, 0, -16, 0, -4, 14, 8, 0, 0, 0, 26, 0, 2, 0, -28, -16, -28, 0, -22, 0, 0, 14, 0, 0, 0, 0, -28, 26, 0, 32, 0, -16, 0, -22, 0, 32, -34, 0, 14, 0, 0, -4, 38, 8, 0, 0, -34, 0, 38, 0, -22, 0, 2, -28, 0, 0, -10, 0, 20, 0, 0, 44, 0, 32, 0, 0, 0, 8, -46, -40, 0, 0, 0, -16, -46, 0, 0, 0, 26, 20, -10, 0, 32, 44, 0, -40, 0, 0, 0, 38, 50, 0, 0, 8, 0, -22, 0, 44, 50, -16, 0, -52, 26, 0, 2, 0, 56, 0, 0, 56, 0, -52, 0, -46, 0, -58, 0, 56, 0, -34, 0, 8, 0, -40, 0, -52, 0, 26, 0, 0, 0, 20, 0, 0, 0, 44, -10]}
  55. label: 6.12.1.d.1
    {'CPlabel': '6B1', 'Glabel': '24.6', 'RSZBlabel': '6.12.1.2', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [5, 0, 2, 5], 'canonical_generators': [[0, 1, 1, 0], [0, 1, 5, 3]], 'cm_discriminants': [-3], 'coarse_class': '6.12.1.d', 'coarse_class_num': 4, 'coarse_index': 12, 'coarse_label': '6.12.1.d.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': [[2, 2], [3, 2]], 'contains_negative_one': True, 'curve_label': '36.a2', 'cusp_orbits': [[1, 2]], 'cusp_widths': [[6, 2]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[1, 0, 5, 5], [2, 1, 3, 4]], 'genus': 1, 'genus_minus_rank': 1, 'has_obstruction': -1, 'index': 12, 'isogeny_orbits': [[2, 3, 1], [3, 2, 2], [6, 6, 2]], 'kummer_orbits': [[2, 3, 1], [3, 2, 2], [6, 6, 2]], 'label': '6.12.1.d.1', 'lattice_labels': ['1.1.0.a.1', '3.3.0.a.1', '3.6.0.b.1', '6.2.0.a.1', '6.6.0.d.1', '6.6.1.b.1', '6.12.1.d.1'], 'lattice_x': [7374, 5719, 1691, 9029, 5719, 9029, 5719], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': {'__RealLiteral__': 0, 'data': '3.58351893845611000162', 'prec': 74}, 'mults': [1], 'name': None, 'newforms': ['36.2.a.a'], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 1, 'num_known_degree1_noncusp_points': 2, 'num_known_degree1_points': 2, 'obstructions': [], 'orbits': [[2, 3, 1], [3, 4, 2], [6, 12, 2]], 'parents': ['3.6.0.b.1', '6.6.0.d.1', '6.6.1.b.1'], 'parents_conj': [[5, 2, 0, 1], [1, 0, 0, 1], [1, 5, 2, 3]], 'pointless': False, 'power': True, 'psl2index': 12, 'psl2label': '6.12.1.a.1', 'psl2level': 6, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 0, 'rational_cusps': 2, 'reductions': ['1.1.0.a.1', '3.6.0.b.1'], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '6.12.1.a.1', 'sl2level': 6, 'squarefree': True, 'trace_hash': 1143229866697692889, 'traces': [0, 0, 0, -4, 0, 2, 0, 8, 0, 0, -4, -10, 0, 8, 0, 0, 0, 14, -16, 0, -10, -4, 0, 0, 14, 0, 20, 0, 2, 0, 20, 0, 0, -16, 0, -4, 14, 8, 0, 0, 0, 26, 0, 2, 0, -28, -16, -28, 0, -22, 0, 0, 14, 0, 0, 0, 0, -28, 26, 0, 32, 0, -16, 0, -22, 0, 32, -34, 0, 14, 0, 0, -4, 38, 8, 0, 0, -34, 0, 38, 0, -22, 0, 2, -28, 0, 0, -10, 0, 20, 0, 0, 44, 0, 32, 0, 0, 0, 8, -46, -40, 0, 0, 0, -16, -46, 0, 0, 0, 26, 20, -10, 0, 32, 44, 0, -40, 0, 0, 0, 38, 50, 0, 0, 8, 0, -22, 0, 44, 50, -16, 0, -52, 26, 0, 2, 0, 56, 0, 0, 56, 0, -52, 0, -46, 0, -58, 0, 56, 0, -34, 0, 8, 0, -40, 0, -52, 0, 26, 0, 0, 0, 20, 0, 0, 0, 44, -10]}
  56. label: 6.18.0.a.1
    {'CPlabel': '6G0', 'Glabel': '16.5', 'RSZBlabel': '6.18.0.2', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [5, 0, 3, 5], 'canonical_generators': [[0, 1, 5, 0], [2, 1, 5, 2], [3, 2, 4, 3]], 'cm_discriminants': [], 'coarse_class': '6.18.0.a', 'coarse_class_num': 1, 'coarse_index': 18, 'coarse_label': '6.18.0.a.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 2]], 'cusp_widths': [[3, 2], [6, 2]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': ['2.3.0.a.1', '3.6.0.a.1'], 'fine_num': 0, 'generators': [[1, 3, 0, 1], [5, 4, 2, 5]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': 1, 'index': 18, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [6, 4, 1], [6, 8, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [6, 4, 1], [6, 8, 1]], 'label': '6.18.0.a.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '3.3.0.a.1', '3.6.0.a.1', '6.9.0.a.1', '6.18.0.a.1'], 'lattice_x': [5269, 8011, 2527, 2527, 7151, 4839], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 2, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 1, 'num_known_degree1_noncusp_points': 1, 'num_known_degree1_points': 1, 'obstructions': [0], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 8, 1], [6, 8, 1], [6, 16, 1]], 'parents': ['3.6.0.a.1', '6.9.0.a.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': True, 'power': None, 'psl2index': 18, 'psl2label': '6.18.0.a.1', 'psl2level': 6, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 0, 'reductions': ['2.3.0.a.1', '3.6.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '6.18.0.a.1', 'sl2level': 6, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  57. label: 6.18.0.b.1
    {'CPlabel': '6G0', 'Glabel': '16.11', 'RSZBlabel': '6.18.0.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [1, 0, 3, 5], 'canonical_generators': [[0, 1, 1, 0], [0, 1, 5, 0], [3, 2, 4, 3]], 'cm_discriminants': [-8], 'coarse_class': '6.18.0.b', 'coarse_class_num': 2, 'coarse_index': 18, 'coarse_label': '6.18.0.b.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 4]], 'cusp_widths': [[3, 2], [6, 2]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': ['2.3.0.a.1', '3.6.0.b.1'], 'fine_num': 0, 'generators': [[1, 0, 0, 5], [3, 4, 2, 3], [5, 3, 0, 1]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 18, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 2, 2], [6, 2, 2], [6, 4, 2]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 2, 2], [6, 2, 2], [6, 4, 2]], 'label': '6.18.0.b.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '3.3.0.a.1', '3.6.0.b.1', '6.9.0.a.1', '6.18.0.b.1'], 'lattice_x': [5269, 8011, 2527, 2527, 7473, 5000], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 2, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 84, 'num_known_degree1_noncusp_points': 84, 'num_known_degree1_points': 84, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 2], [6, 4, 2], [6, 8, 2]], 'parents': ['3.6.0.b.1', '6.9.0.a.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 18, 'psl2label': '6.18.0.a.1', 'psl2level': 6, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 4, 'reductions': ['2.3.0.a.1', '3.6.0.b.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '6.18.0.a.1', 'sl2level': 6, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  58. label: 6.18.0.c.1
    {'CPlabel': '6H0', 'Glabel': '16.8', 'RSZBlabel': '6.18.0.3', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [1, 0, 5, 5], 'canonical_generators': [[0, 1, 1, 4], [0, 1, 5, 0], [2, 1, 1, 4]], 'cm_discriminants': [-4], 'coarse_class': '6.18.0.c', 'coarse_class_num': 3, 'coarse_index': 18, 'coarse_label': '6.18.0.c.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 3]], 'cusp_widths': [[6, 3]], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 1, 2, 1], [1, 5, 2, 5]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 18, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [6, 4, 3]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [6, 4, 3]], 'label': '6.18.0.c.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '3.3.0.a.1', '6.6.0.c.1', '6.9.0.a.1', '6.18.0.c.1'], 'lattice_x': [5269, 8011, 2527, 2527, 6398, 4463], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 4, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 11, 'num_known_degree1_noncusp_points': 12, 'num_known_degree1_points': 12, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 8, 1], [6, 8, 3]], 'parents': ['6.6.0.c.1', '6.9.0.a.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 18, 'psl2label': '6.18.0.b.1', 'psl2level': 6, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 3, 'reductions': ['2.3.0.a.1', '3.3.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '6.18.0.b.1', 'sl2level': 6, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  59. label: 6.18.0.d.1
    {'CPlabel': '6H0', 'Glabel': '16.8', 'RSZBlabel': '6.18.0.4', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [1, 0, 3, 5], 'canonical_generators': [[0, 1, 5, 0], [1, 2, 2, 3], [2, 1, 1, 4]], 'cm_discriminants': [-4, -7], 'coarse_class': '6.18.0.d', 'coarse_class_num': 4, 'coarse_index': 18, 'coarse_label': '6.18.0.d.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 1], [2, 1]], 'cusp_widths': [[6, 3]], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[3, 5, 4, 3], [5, 3, 4, 1]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 18, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [6, 4, 1], [6, 8, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [6, 4, 1], [6, 8, 1]], 'label': '6.18.0.d.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '3.3.0.a.1', '6.6.0.d.1', '6.9.0.a.1', '6.18.0.d.1'], 'lattice_x': [5269, 8011, 2527, 2527, 7473, 5000], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 4, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 8, 'num_known_degree1_noncusp_points': 8, 'num_known_degree1_points': 8, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 8, 1], [6, 8, 1], [6, 16, 1]], 'parents': ['6.6.0.d.1', '6.9.0.a.1'], 'parents_conj': [[1, 0, 0, 1], [5, 5, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 18, 'psl2label': '6.18.0.b.1', 'psl2level': 6, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 1, 'reductions': ['2.3.0.a.1', '3.3.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '6.18.0.b.1', 'sl2level': 6, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  60. label: 6.18.1.a.1
    {'CPlabel': '6C1', 'Glabel': '16.8', 'RSZBlabel': '6.18.1.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [5, 0, 5, 5], 'canonical_generators': [[1, 2, 2, 3], [1, 2, 2, 5], [1, 4, 4, 5]], 'cm_discriminants': [-4], 'coarse_class': '6.18.1.a', 'coarse_class_num': 1, 'coarse_index': 18, 'coarse_label': '6.18.1.a.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': [[2, 2], [3, 2]], 'contains_negative_one': True, 'curve_label': '36.a4', 'cusp_orbits': [[1, 3]], 'cusp_widths': [[6, 3]], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': ['2.6.0.a.1', '3.3.0.a.1'], 'fine_num': 0, 'generators': [[1, 0, 0, 5], [5, 2, 2, 1]], 'genus': 1, 'genus_minus_rank': 1, 'has_obstruction': -1, 'index': 18, 'isogeny_orbits': [[2, 1, 3], [3, 4, 1], [6, 4, 3]], 'kummer_orbits': [[2, 1, 3], [3, 4, 1], [6, 4, 3]], 'label': '6.18.1.a.1', 'lattice_labels': ['1.1.0.a.1', '2.2.0.a.1', '2.3.0.a.1', '2.6.0.a.1', '3.3.0.a.1', '6.6.1.a.1', '6.9.0.a.1', '6.18.1.a.1'], 'lattice_x': [4790, 1434, 4790, 2273, 8357, 5000, 7517, 5000], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': {'__RealLiteral__': 0, 'data': '3.58351893845611000162', 'prec': 74}, 'mults': [1], 'name': None, 'newforms': ['36.2.a.a'], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 2, 'num_known_degree1_noncusp_points': 2, 'num_known_degree1_points': 2, 'obstructions': [], 'orbits': [[2, 1, 3], [3, 8, 1], [6, 8, 3]], 'parents': ['2.6.0.a.1', '6.6.1.a.1', '6.9.0.a.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': True, 'psl2index': 18, 'psl2label': '6.18.1.a.1', 'psl2level': 6, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 0, 'rational_cusps': 3, 'reductions': ['2.6.0.a.1', '3.3.0.a.1'], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '6.18.1.a.1', 'sl2level': 6, 'squarefree': True, 'trace_hash': 1143229866697692889, 'traces': [0, 0, 0, -4, 0, 2, 0, 8, 0, 0, -4, -10, 0, 8, 0, 0, 0, 14, -16, 0, -10, -4, 0, 0, 14, 0, 20, 0, 2, 0, 20, 0, 0, -16, 0, -4, 14, 8, 0, 0, 0, 26, 0, 2, 0, -28, -16, -28, 0, -22, 0, 0, 14, 0, 0, 0, 0, -28, 26, 0, 32, 0, -16, 0, -22, 0, 32, -34, 0, 14, 0, 0, -4, 38, 8, 0, 0, -34, 0, 38, 0, -22, 0, 2, -28, 0, 0, -10, 0, 20, 0, 0, 44, 0, 32, 0, 0, 0, 8, -46, -40, 0, 0, 0, -16, -46, 0, 0, 0, 26, 20, -10, 0, 32, 44, 0, -40, 0, 0, 0, 38, 50, 0, 0, 8, 0, -22, 0, 44, 50, -16, 0, -52, 26, 0, 2, 0, 56, 0, 0, 56, 0, -52, 0, -46, 0, -58, 0, 56, 0, -34, 0, 8, 0, -40, 0, -52, 0, 26, 0, 0, 0, 20, 0, 0, 0, 44, -10]}
  61. label: 6.18.1.b.1
    {'CPlabel': '6C1', 'Glabel': '16.8', 'RSZBlabel': '6.18.1.2', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [5, 0, 5, 5], 'canonical_generators': [[0, 1, 1, 4], [1, 2, 2, 5], [1, 4, 4, 5]], 'cm_discriminants': [-4], 'coarse_class': '6.18.1.b', 'coarse_class_num': 2, 'coarse_index': 18, 'coarse_label': '6.18.1.b.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': [[2, 2], [3, 2]], 'contains_negative_one': True, 'curve_label': '36.a3', 'cusp_orbits': [[1, 1], [2, 1]], 'cusp_widths': [[6, 3]], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[1, 2, 2, 5], [5, 3, 0, 1]], 'genus': 1, 'genus_minus_rank': 1, 'has_obstruction': -1, 'index': 18, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [6, 4, 1], [6, 8, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [6, 4, 1], [6, 8, 1]], 'label': '6.18.1.b.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '3.3.0.a.1', '6.2.0.a.1', '6.6.0.a.1', '6.6.0.b.1', '6.6.1.b.1', '6.9.0.a.1', '6.18.1.b.1'], 'lattice_x': [5750, 8679, 2464, 5750, 8679, 6107, 964, 3536, 4821], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': {'__RealLiteral__': 0, 'data': '3.58351893845611000162', 'prec': 74}, 'mults': [1], 'name': None, 'newforms': ['36.2.a.a'], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 3, 'num_known_degree1_noncusp_points': 3, 'num_known_degree1_points': 3, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 8, 1], [6, 8, 1], [6, 16, 1]], 'parents': ['6.6.0.a.1', '6.6.0.b.1', '6.6.1.b.1', '6.9.0.a.1'], 'parents_conj': [[1, 0, 0, 1], [3, 5, 4, 5], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': True, 'psl2index': 18, 'psl2label': '6.18.1.a.1', 'psl2level': 6, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 0, 'rational_cusps': 1, 'reductions': ['2.3.0.a.1', '3.3.0.a.1'], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '6.18.1.a.1', 'sl2level': 6, 'squarefree': True, 'trace_hash': 1143229866697692889, 'traces': [0, 0, 0, -4, 0, 2, 0, 8, 0, 0, -4, -10, 0, 8, 0, 0, 0, 14, -16, 0, -10, -4, 0, 0, 14, 0, 20, 0, 2, 0, 20, 0, 0, -16, 0, -4, 14, 8, 0, 0, 0, 26, 0, 2, 0, -28, -16, -28, 0, -22, 0, 0, 14, 0, 0, 0, 0, -28, 26, 0, 32, 0, -16, 0, -22, 0, 32, -34, 0, 14, 0, 0, -4, 38, 8, 0, 0, -34, 0, 38, 0, -22, 0, 2, -28, 0, 0, -10, 0, 20, 0, 0, 44, 0, 32, 0, 0, 0, 8, -46, -40, 0, 0, 0, -16, -46, 0, 0, 0, 26, 20, -10, 0, 32, 44, 0, -40, 0, 0, 0, 38, 50, 0, 0, 8, 0, -22, 0, 44, 50, -16, 0, -52, 26, 0, 2, 0, 56, 0, 0, 56, 0, -52, 0, -46, 0, -58, 0, 56, 0, -34, 0, 8, 0, -40, 0, -52, 0, 26, 0, 0, 0, 20, 0, 0, 0, 44, -10]}
  62. label: 6.24.0.a.1
    {'CPlabel': '6I0', 'Glabel': '12.4', 'RSZBlabel': '6.24.0.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [5, 0, 5, 5], 'canonical_generators': [[1, 0, 4, 5], [1, 2, 4, 3]], 'cm_discriminants': [], 'coarse_class': '6.24.0.a', 'coarse_class_num': 1, 'coarse_index': 24, 'coarse_label': '6.24.0.a.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 6]], 'cusp_widths': [[2, 3], [6, 3]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': ['2.6.0.a.1', '3.4.0.a.1'], 'fine_num': 0, 'generators': [[5, 2, 0, 1], [5, 2, 0, 5]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 24, 'isogeny_orbits': [[2, 1, 3], [3, 1, 1], [3, 3, 1], [6, 1, 3], [6, 3, 3]], 'kummer_orbits': [[2, 1, 3], [3, 1, 1], [3, 3, 1], [6, 1, 3], [6, 3, 3]], 'label': '6.24.0.a.1', 'lattice_labels': ['1.1.0.a.1', '2.2.0.a.1', '2.3.0.a.1', '2.6.0.a.1', '3.4.0.a.1', '6.8.0.a.1', '6.12.0.a.1', '6.24.0.a.1'], 'lattice_x': [5936, 2829, 8526, 2829, 6335, 1076, 6335, 3267], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': None, 'mults': None, 'name': 'Xpm1(2,6)', 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 110, 'num_known_degree1_noncusp_points': 111, 'num_known_degree1_points': 111, 'obstructions': [], 'orbits': [[2, 1, 3], [3, 2, 1], [3, 6, 1], [6, 2, 3], [6, 6, 3]], 'parents': ['2.6.0.a.1', '6.8.0.a.1', '6.12.0.a.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '6.24.0.a.1', 'psl2level': 6, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 6, 'reductions': ['2.6.0.a.1', '3.4.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '6.24.0.a.1', 'sl2level': 6, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  63. label: 6.24.0.b.1
    {'CPlabel': '6I0', 'Glabel': '12.4', 'RSZBlabel': '6.24.0.5', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [0, 1, 5, 5], 'canonical_generators': [[0, 1, 1, 0], [1, 2, 4, 3]], 'cm_discriminants': [-3], 'coarse_class': '6.24.0.b', 'coarse_class_num': 2, 'coarse_index': 24, 'coarse_label': '6.24.0.b.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[2, 3], [6, 3]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 3, 0, 5], [5, 1, 0, 1]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 24, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1]], 'label': '6.24.0.b.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '3.4.0.a.1', '6.2.0.a.1', '6.6.0.a.1', '6.8.0.b.1', '6.12.0.a.1', '6.24.0.b.1'], 'lattice_x': [5802, 8477, 6379, 3004, 3004, 1111, 6379, 3375], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 70, 'num_known_degree1_noncusp_points': 70, 'num_known_degree1_points': 70, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 6, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1]], 'parents': ['6.6.0.a.1', '6.8.0.b.1', '6.12.0.a.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '6.24.0.a.1', 'psl2level': 6, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': ['2.3.0.a.1', '3.4.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '6.24.0.a.1', 'sl2level': 6, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  64. label: 6.24.0.c.1
    {'CPlabel': '6J0', 'Glabel': '12.4', 'RSZBlabel': '6.24.0.6', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [4, 3, 5, 2], 'canonical_generators': [[0, 1, 1, 0], [0, 1, 5, 1]], 'cm_discriminants': [-3], 'coarse_class': '6.24.0.c', 'coarse_class_num': 3, 'coarse_index': 24, 'coarse_label': '6.24.0.c.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 1]], 'cusp_widths': [[6, 4]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[2, 5, 3, 4], [5, 5, 3, 2]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 24, 'isogeny_orbits': [[2, 3, 1], [3, 1, 1], [3, 3, 1], [6, 3, 2], [6, 6, 1]], 'kummer_orbits': [[2, 3, 1], [3, 1, 1], [3, 3, 1], [6, 3, 2], [6, 6, 1]], 'label': '6.24.0.c.1', 'lattice_labels': ['1.1.0.a.1', '3.4.0.a.1', '6.2.0.a.1', '6.6.0.b.1', '6.8.0.b.1', '6.24.0.c.1'], 'lattice_x': [6087, 7989, 4456, 1467, 4456, 2935], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 3, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 20, 'num_known_degree1_noncusp_points': 20, 'num_known_degree1_points': 20, 'obstructions': [], 'orbits': [[2, 3, 1], [3, 2, 1], [3, 6, 1], [6, 6, 2], [6, 12, 1]], 'parents': ['6.6.0.b.1', '6.8.0.b.1'], 'parents_conj': [[1, 5, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '6.24.0.b.1', 'psl2level': 6, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': ['1.1.0.a.1', '3.4.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '6.24.0.b.1', 'sl2level': 6, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  65. label: 6.24.1.a.1
    {'CPlabel': '6D1', 'Glabel': '12.5', 'RSZBlabel': '6.24.1.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [1, 1, 4, 5], 'canonical_generators': [[0, 1, 1, 3], [2, 3, 3, 5]], 'cm_discriminants': [], 'coarse_class': '6.24.1.a', 'coarse_class_num': 1, 'coarse_index': 24, 'coarse_label': '6.24.1.a.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': [[2, 2], [3, 2]], 'contains_negative_one': True, 'curve_label': '36.a3', 'cusp_orbits': [[1, 2], [2, 1]], 'cusp_widths': [[6, 4]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': ['2.2.0.a.1', '3.12.0.a.1'], 'fine_num': 0, 'generators': [[5, 0, 0, 1], [5, 3, 3, 2]], 'genus': 1, 'genus_minus_rank': 1, 'has_obstruction': -1, 'index': 24, 'isogeny_orbits': [[2, 3, 1], [3, 1, 2], [3, 2, 1], [6, 3, 2], [6, 6, 1]], 'kummer_orbits': [[2, 3, 1], [3, 1, 2], [3, 2, 1], [6, 3, 2], [6, 6, 1]], 'label': '6.24.1.a.1', 'lattice_labels': ['1.1.0.a.1', '2.2.0.a.1', '3.3.0.a.1', '3.4.0.a.1', '3.6.0.b.1', '3.12.0.a.1', '6.6.0.c.1', '6.6.1.a.1', '6.8.0.a.1', '6.12.0.b.1', '6.12.1.b.1', '6.24.1.a.1'], 'lattice_x': [6824, 8635, 3360, 7690, 5013, 7034, 709, 2598, 9291, 4777, 2782, 5905], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': {'__RealLiteral__': 0, 'data': '3.58351893845611000162', 'prec': 74}, 'mults': [1], 'name': None, 'newforms': ['36.2.a.a'], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 2, 'num_known_degree1_noncusp_points': 2, 'num_known_degree1_points': 2, 'obstructions': [], 'orbits': [[2, 3, 1], [3, 2, 2], [3, 4, 1], [6, 6, 2], [6, 12, 1]], 'parents': ['3.12.0.a.1', '6.8.0.a.1', '6.12.0.b.1', '6.12.1.b.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': True, 'psl2index': 24, 'psl2label': '6.24.1.a.1', 'psl2level': 6, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 0, 'rational_cusps': 2, 'reductions': ['2.2.0.a.1', '3.12.0.a.1'], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '6.24.1.a.1', 'sl2level': 6, 'squarefree': True, 'trace_hash': 1143229866697692889, 'traces': [0, 0, 0, -4, 0, 2, 0, 8, 0, 0, -4, -10, 0, 8, 0, 0, 0, 14, -16, 0, -10, -4, 0, 0, 14, 0, 20, 0, 2, 0, 20, 0, 0, -16, 0, -4, 14, 8, 0, 0, 0, 26, 0, 2, 0, -28, -16, -28, 0, -22, 0, 0, 14, 0, 0, 0, 0, -28, 26, 0, 32, 0, -16, 0, -22, 0, 32, -34, 0, 14, 0, 0, -4, 38, 8, 0, 0, -34, 0, 38, 0, -22, 0, 2, -28, 0, 0, -10, 0, 20, 0, 0, 44, 0, 32, 0, 0, 0, 8, -46, -40, 0, 0, 0, -16, -46, 0, 0, 0, 26, 20, -10, 0, 32, 44, 0, -40, 0, 0, 0, 38, 50, 0, 0, 8, 0, -22, 0, 44, 50, -16, 0, -52, 26, 0, 2, 0, 56, 0, 0, 56, 0, -52, 0, -46, 0, -58, 0, 56, 0, -34, 0, 8, 0, -40, 0, -52, 0, 26, 0, 0, 0, 20, 0, 0, 0, 44, -10]}
  66. label: 6.24.1.b.1
    {'CPlabel': '6D1', 'Glabel': '12.4', 'RSZBlabel': '6.24.1.2', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [5, 0, 2, 5], 'canonical_generators': [[0, 1, 1, 0], [2, 3, 3, 5]], 'cm_discriminants': [-3], 'coarse_class': '6.24.1.b', 'coarse_class_num': 2, 'coarse_index': 24, 'coarse_label': '6.24.1.b.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': [[2, 2], [3, 2]], 'contains_negative_one': True, 'curve_label': '36.a4', 'cusp_orbits': [[1, 2], [2, 1]], 'cusp_widths': [[6, 4]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[1, 2, 3, 5], [5, 1, 0, 1]], 'genus': 1, 'genus_minus_rank': 1, 'has_obstruction': -1, 'index': 24, 'isogeny_orbits': [[2, 3, 1], [3, 1, 2], [3, 2, 1], [6, 3, 2], [6, 6, 1]], 'kummer_orbits': [[2, 3, 1], [3, 1, 2], [3, 2, 1], [6, 3, 2], [6, 6, 1]], 'label': '6.24.1.b.1', 'lattice_labels': ['1.1.0.a.1', '3.3.0.a.1', '3.4.0.a.1', '3.6.0.b.1', '3.12.0.a.1', '6.2.0.a.1', '6.6.0.d.1', '6.6.1.b.1', '6.8.0.b.1', '6.12.0.b.1', '6.12.1.d.1', '6.24.1.b.1'], 'lattice_x': [7197, 4014, 7910, 5487, 7316, 8504, 1116, 3302, 9359, 5273, 3468, 6295], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': {'__RealLiteral__': 0, 'data': '3.58351893845611000162', 'prec': 74}, 'mults': [1], 'name': None, 'newforms': ['36.2.a.a'], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 2, 'num_known_degree1_noncusp_points': 3, 'num_known_degree1_points': 3, 'obstructions': [], 'orbits': [[2, 3, 1], [3, 2, 2], [3, 4, 1], [6, 6, 2], [6, 12, 1]], 'parents': ['3.12.0.a.1', '6.8.0.b.1', '6.12.0.b.1', '6.12.1.d.1'], 'parents_conj': [[1, 1, 3, 2], [1, 0, 0, 1], [5, 3, 5, 4], [1, 0, 0, 1]], 'pointless': False, 'power': True, 'psl2index': 24, 'psl2label': '6.24.1.a.1', 'psl2level': 6, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 0, 'rational_cusps': 2, 'reductions': ['1.1.0.a.1', '3.12.0.a.1'], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '6.24.1.a.1', 'sl2level': 6, 'squarefree': True, 'trace_hash': 1143229866697692889, 'traces': [0, 0, 0, -4, 0, 2, 0, 8, 0, 0, -4, -10, 0, 8, 0, 0, 0, 14, -16, 0, -10, -4, 0, 0, 14, 0, 20, 0, 2, 0, 20, 0, 0, -16, 0, -4, 14, 8, 0, 0, 0, 26, 0, 2, 0, -28, -16, -28, 0, -22, 0, 0, 14, 0, 0, 0, 0, -28, 26, 0, 32, 0, -16, 0, -22, 0, 32, -34, 0, 14, 0, 0, -4, 38, 8, 0, 0, -34, 0, 38, 0, -22, 0, 2, -28, 0, 0, -10, 0, 20, 0, 0, 44, 0, 32, 0, 0, 0, 8, -46, -40, 0, 0, 0, -16, -46, 0, 0, 0, 26, 20, -10, 0, 32, 44, 0, -40, 0, 0, 0, 38, 50, 0, 0, 8, 0, -22, 0, 44, 50, -16, 0, -52, 26, 0, 2, 0, 56, 0, 0, 56, 0, -52, 0, -46, 0, -58, 0, 56, 0, -34, 0, 8, 0, -40, 0, -52, 0, 26, 0, 0, 0, 20, 0, 0, 0, 44, -10]}
  67. label: 6.36.0.a.1
    {'CPlabel': '6K0', 'Glabel': '8.5', 'RSZBlabel': '6.36.0.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [2, 5, 5, 0], 'canonical_generators': [[1, 0, 1, 5], [1, 0, 3, 1], [5, 0, 3, 5]], 'cm_discriminants': [], 'coarse_class': '6.36.0.a', 'coarse_class_num': 1, 'coarse_index': 36, 'coarse_label': '6.36.0.a.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 4], [2, 2]], 'cusp_widths': [[3, 4], [6, 4]], 'cusps': 8, 'determinant_label': '1.1.1', 'dims': None, 'factorization': ['2.3.0.a.1', '3.12.0.a.1'], 'fine_num': 0, 'generators': [[1, 3, 0, 1], [5, 0, 0, 1], [5, 0, 0, 5]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 36, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 2], [3, 2, 1], [6, 1, 2], [6, 2, 3], [6, 4, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 2], [3, 2, 1], [6, 1, 2], [6, 2, 3], [6, 4, 1]], 'label': '6.36.0.a.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '3.3.0.a.1', '3.4.0.a.1', '3.6.0.b.1', '3.12.0.a.1', '6.9.0.a.1', '6.12.0.a.1', '6.18.0.b.1', '6.36.0.a.1'], 'lattice_x': [3198, 1160, 5643, 3072, 8527, 4922, 5643, 1912, 7617, 4922], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 47, 'num_known_degree1_noncusp_points': 47, 'num_known_degree1_points': 47, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 2, 2], [3, 4, 1], [6, 2, 2], [6, 4, 3], [6, 8, 1]], 'parents': ['3.12.0.a.1', '6.12.0.a.1', '6.18.0.b.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 36, 'psl2label': '6.36.0.a.1', 'psl2level': 6, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 4, 'reductions': ['2.3.0.a.1', '3.12.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '6.36.0.a.1', 'sl2level': 6, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  68. label: 6.36.0.b.1
    {'CPlabel': '6L0', 'Glabel': '8.3', 'RSZBlabel': '6.36.0.2', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 1, 0], [0, 1, 5, 0]], 'cm_discriminants': [], 'coarse_class': '6.36.0.b', 'coarse_class_num': 2, 'coarse_index': 36, 'coarse_label': '6.36.0.b.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 4], [2, 1]], 'cusp_widths': [[6, 6]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[0, 5, 1, 0], [1, 0, 0, 5]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 36, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 2, 2], [6, 2, 4], [6, 4, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 2, 2], [6, 2, 4], [6, 4, 1]], 'label': '6.36.0.b.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '3.3.0.a.1', '3.6.0.b.1', '6.9.0.a.1', '6.12.0.b.1', '6.18.0.b.1', '6.36.0.b.1'], 'lattice_x': [5269, 8011, 2527, 2527, 7473, 2527, 6398, 4463], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': None, 'mults': None, 'name': 'Xsp+(6)', 'newforms': [], 'nu2': 4, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 7, 'num_known_degree1_noncusp_points': 7, 'num_known_degree1_points': 7, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 2], [6, 4, 4], [6, 8, 1]], 'parents': ['6.12.0.b.1', '6.18.0.b.1'], 'parents_conj': [[1, 0, 0, 1], [5, 1, 5, 2]], 'pointless': False, 'power': None, 'psl2index': 36, 'psl2label': '6.36.0.b.1', 'psl2level': 6, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 4, 'reductions': ['2.3.0.a.1', '3.6.0.b.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '6.36.0.b.1', 'sl2level': 6, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  69. label: 6.36.1.a.1
    {'CPlabel': '6E1', 'Glabel': '8.1', 'RSZBlabel': '6.36.1.4', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 2, 2, 5], [1, 4, 4, 3]], 'cm_discriminants': [], 'coarse_class': '6.36.1.a', 'coarse_class_num': 1, 'coarse_index': 36, 'coarse_label': '6.36.1.a.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': [[2, 2], [3, 2]], 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 3]], 'cusp_widths': [[6, 6]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': ['2.6.0.a.1', '3.6.0.a.1'], 'fine_num': 0, 'generators': [[3, 2, 2, 1]], 'genus': 1, 'genus_minus_rank': 1, 'has_obstruction': 1, 'index': 36, 'isogeny_orbits': [[2, 1, 3], [3, 4, 1], [6, 4, 3]], 'kummer_orbits': [[2, 1, 3], [3, 4, 1], [6, 4, 3]], 'label': '6.36.1.a.1', 'lattice_labels': ['1.1.0.a.1', '2.2.0.a.1', '2.3.0.a.1', '2.6.0.a.1', '3.3.0.a.1', '3.6.0.a.1', '6.6.0.d.1', '6.6.1.a.1', '6.9.0.a.1', '6.12.1.a.1', '6.18.0.a.1', '6.18.0.d.1', '6.18.1.a.1', '6.36.1.a.1'], 'lattice_x': [3523, 3523, 1246, 771, 6038, 9027, 6512, 4330, 2622, 7295, 5255, 3547, 1839, 4401], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': {'__RealLiteral__': 0, 'data': '3.58351893845611000162', 'prec': 74}, 'mults': [1], 'name': None, 'newforms': ['36.2.a.a'], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 1, 'num_known_degree1_noncusp_points': 1, 'num_known_degree1_points': 1, 'obstructions': [0], 'orbits': [[2, 1, 3], [3, 8, 1], [6, 8, 3]], 'parents': ['6.12.1.a.1', '6.18.0.a.1', '6.18.0.d.1', '6.18.1.a.1'], 'parents_conj': [[1, 0, 0, 1], [5, 0, 2, 1], [1, 0, 0, 1], [0, 5, 1, 2]], 'pointless': True, 'power': True, 'psl2index': 36, 'psl2label': '6.36.1.a.1', 'psl2level': 6, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 0, 'rational_cusps': 0, 'reductions': ['2.6.0.a.1', '3.6.0.a.1'], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '6.36.1.a.1', 'sl2level': 6, 'squarefree': True, 'trace_hash': 1143229866697692889, 'traces': [0, 0, 0, -4, 0, 2, 0, 8, 0, 0, -4, -10, 0, 8, 0, 0, 0, 14, -16, 0, -10, -4, 0, 0, 14, 0, 20, 0, 2, 0, 20, 0, 0, -16, 0, -4, 14, 8, 0, 0, 0, 26, 0, 2, 0, -28, -16, -28, 0, -22, 0, 0, 14, 0, 0, 0, 0, -28, 26, 0, 32, 0, -16, 0, -22, 0, 32, -34, 0, 14, 0, 0, -4, 38, 8, 0, 0, -34, 0, 38, 0, -22, 0, 2, -28, 0, 0, -10, 0, 20, 0, 0, 44, 0, 32, 0, 0, 0, 8, -46, -40, 0, 0, 0, -16, -46, 0, 0, 0, 26, 20, -10, 0, 32, 44, 0, -40, 0, 0, 0, 38, 50, 0, 0, 8, 0, -22, 0, 44, 50, -16, 0, -52, 26, 0, 2, 0, 56, 0, 0, 56, 0, -52, 0, -46, 0, -58, 0, 56, 0, -34, 0, 8, 0, -40, 0, -52, 0, 26, 0, 0, 0, 20, 0, 0, 0, 44, -10]}
  70. label: 6.36.1.b.1
    {'CPlabel': '6E1', 'Glabel': '8.3', 'RSZBlabel': '6.36.1.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [1, 0, 4, 5], 'canonical_generators': [[1, 0, 2, 5], [1, 2, 2, 5]], 'cm_discriminants': [], 'coarse_class': '6.36.1.b', 'coarse_class_num': 2, 'coarse_index': 36, 'coarse_label': '6.36.1.b.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': [[2, 2], [3, 2]], 'contains_negative_one': True, 'curve_label': '36.a2', 'cusp_orbits': [[1, 6]], 'cusp_widths': [[6, 6]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': ['2.6.0.a.1', '3.6.0.b.1'], 'fine_num': 0, 'generators': [[3, 2, 4, 3], [3, 4, 4, 3]], 'genus': 1, 'genus_minus_rank': 1, 'has_obstruction': -1, 'index': 36, 'isogeny_orbits': [[2, 1, 3], [3, 2, 2], [6, 2, 6]], 'kummer_orbits': [[2, 1, 3], [3, 2, 2], [6, 2, 6]], 'label': '6.36.1.b.1', 'lattice_labels': ['1.1.0.a.1', '2.2.0.a.1', '2.3.0.a.1', '2.6.0.a.1', '3.3.0.a.1', '3.6.0.b.1', '6.6.0.c.1', '6.6.1.a.1', '6.9.0.a.1', '6.12.1.b.1', '6.18.0.b.1', '6.18.0.c.1', '6.18.1.a.1', '6.36.1.b.1'], 'lattice_x': [3520, 3520, 1080, 826, 6213, 8806, 6468, 4638, 2808, 7382, 5553, 3723, 1893, 4638], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': {'__RealLiteral__': 0, 'data': '3.58351893845611000162', 'prec': 74}, 'mults': [1], 'name': None, 'newforms': ['36.2.a.a'], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 1, 'num_known_degree1_noncusp_points': 1, 'num_known_degree1_points': 1, 'obstructions': [], 'orbits': [[2, 1, 3], [3, 4, 2], [6, 4, 6]], 'parents': ['6.12.1.b.1', '6.18.0.b.1', '6.18.0.c.1', '6.18.1.a.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': True, 'psl2index': 36, 'psl2label': '6.36.1.a.1', 'psl2level': 6, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 0, 'rational_cusps': 6, 'reductions': ['2.6.0.a.1', '3.6.0.b.1'], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '6.36.1.a.1', 'sl2level': 6, 'squarefree': True, 'trace_hash': 1143229866697692889, 'traces': [0, 0, 0, -4, 0, 2, 0, 8, 0, 0, -4, -10, 0, 8, 0, 0, 0, 14, -16, 0, -10, -4, 0, 0, 14, 0, 20, 0, 2, 0, 20, 0, 0, -16, 0, -4, 14, 8, 0, 0, 0, 26, 0, 2, 0, -28, -16, -28, 0, -22, 0, 0, 14, 0, 0, 0, 0, -28, 26, 0, 32, 0, -16, 0, -22, 0, 32, -34, 0, 14, 0, 0, -4, 38, 8, 0, 0, -34, 0, 38, 0, -22, 0, 2, -28, 0, 0, -10, 0, 20, 0, 0, 44, 0, 32, 0, 0, 0, 8, -46, -40, 0, 0, 0, -16, -46, 0, 0, 0, 26, 20, -10, 0, 32, 44, 0, -40, 0, 0, 0, 38, 50, 0, 0, 8, 0, -22, 0, 44, 50, -16, 0, -52, 26, 0, 2, 0, 56, 0, 0, 56, 0, -52, 0, -46, 0, -58, 0, 56, 0, -34, 0, 8, 0, -40, 0, -52, 0, 26, 0, 0, 0, 20, 0, 0, 0, 44, -10]}
  71. label: 6.36.1.c.1
    {'CPlabel': '6E1', 'Glabel': '8.1', 'RSZBlabel': '6.36.1.3', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [1, 0, 5, 1], 'canonical_generators': [[0, 5, 5, 4], [1, 2, 2, 5]], 'cm_discriminants': [], 'coarse_class': '6.36.1.c', 'coarse_class_num': 3, 'coarse_index': 36, 'coarse_label': '6.36.1.c.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': [[2, 2], [3, 2]], 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 3]], 'cusp_widths': [[6, 6]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[1, 1, 2, 1]], 'genus': 1, 'genus_minus_rank': 1, 'has_obstruction': 1, 'index': 36, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [6, 4, 3]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [6, 4, 3]], 'label': '6.36.1.c.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '3.3.0.a.1', '3.6.0.a.1', '6.2.0.a.1', '6.6.0.a.1', '6.6.0.b.1', '6.6.0.c.1', '6.6.1.b.1', '6.9.0.a.1', '6.12.1.c.1', '6.18.0.a.1', '6.18.0.c.1', '6.18.1.b.1', '6.36.1.c.1'], 'lattice_x': [7059, 8914, 4502, 928, 7059, 9389, 7760, 2873, 4502, 6131, 2873, 4502, 6131, 7760, 5317], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': {'__RealLiteral__': 0, 'data': '3.58351893845611000162', 'prec': 74}, 'mults': [1], 'name': None, 'newforms': ['36.2.a.a'], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 1, 'num_known_degree1_noncusp_points': 1, 'num_known_degree1_points': 1, 'obstructions': [0], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 8, 1], [6, 8, 3]], 'parents': ['6.12.1.c.1', '6.18.0.a.1', '6.18.0.c.1', '6.18.1.b.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': True, 'power': True, 'psl2index': 36, 'psl2label': '6.36.1.a.1', 'psl2level': 6, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 0, 'rational_cusps': 0, 'reductions': ['2.3.0.a.1', '3.6.0.a.1'], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '6.36.1.a.1', 'sl2level': 6, 'squarefree': True, 'trace_hash': 1143229866697692889, 'traces': [0, 0, 0, -4, 0, 2, 0, 8, 0, 0, -4, -10, 0, 8, 0, 0, 0, 14, -16, 0, -10, -4, 0, 0, 14, 0, 20, 0, 2, 0, 20, 0, 0, -16, 0, -4, 14, 8, 0, 0, 0, 26, 0, 2, 0, -28, -16, -28, 0, -22, 0, 0, 14, 0, 0, 0, 0, -28, 26, 0, 32, 0, -16, 0, -22, 0, 32, -34, 0, 14, 0, 0, -4, 38, 8, 0, 0, -34, 0, 38, 0, -22, 0, 2, -28, 0, 0, -10, 0, 20, 0, 0, 44, 0, 32, 0, 0, 0, 8, -46, -40, 0, 0, 0, -16, -46, 0, 0, 0, 26, 20, -10, 0, 32, 44, 0, -40, 0, 0, 0, 38, 50, 0, 0, 8, 0, -22, 0, 44, 50, -16, 0, -52, 26, 0, 2, 0, 56, 0, 0, 56, 0, -52, 0, -46, 0, -58, 0, 56, 0, -34, 0, 8, 0, -40, 0, -52, 0, 26, 0, 0, 0, 20, 0, 0, 0, 44, -10]}
  72. label: 6.36.1.d.1
    {'CPlabel': '6E1', 'Glabel': '8.3', 'RSZBlabel': '6.36.1.2', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [2, 3, 3, 2], 'canonical_generators': [[1, 0, 5, 5], [1, 2, 2, 5]], 'cm_discriminants': [], 'coarse_class': '6.36.1.d', 'coarse_class_num': 4, 'coarse_index': 36, 'coarse_label': '6.36.1.d.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': [[2, 2], [3, 2]], 'contains_negative_one': True, 'curve_label': '36.a1', 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[6, 6]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[1, 5, 0, 5], [5, 3, 4, 1]], 'genus': 1, 'genus_minus_rank': 1, 'has_obstruction': -1, 'index': 36, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 2, 2], [6, 2, 2], [6, 4, 2]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 2, 2], [6, 2, 2], [6, 4, 2]], 'label': '6.36.1.d.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '3.3.0.a.1', '3.6.0.b.1', '6.2.0.a.1', '6.6.0.a.1', '6.6.0.b.1', '6.6.0.d.1', '6.6.1.b.1', '6.9.0.a.1', '6.12.1.d.1', '6.18.0.b.1', '6.18.0.d.1', '6.18.1.b.1', '6.36.1.d.1'], 'lattice_x': [6336, 6336, 4271, 3219, 7996, 7996, 9453, 951, 6538, 5081, 3421, 4879, 1964, 6538, 4150], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': {'__RealLiteral__': 0, 'data': '3.58351893845611000162', 'prec': 74}, 'mults': [1], 'name': None, 'newforms': ['36.2.a.a'], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 2, 'num_known_degree1_noncusp_points': 2, 'num_known_degree1_points': 2, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 2], [6, 4, 2], [6, 8, 2]], 'parents': ['6.12.1.d.1', '6.18.0.b.1', '6.18.0.d.1', '6.18.1.b.1'], 'parents_conj': [[1, 0, 0, 1], [5, 2, 0, 1], [1, 0, 0, 1], [5, 4, 0, 5]], 'pointless': False, 'power': True, 'psl2index': 36, 'psl2label': '6.36.1.a.1', 'psl2level': 6, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 0, 'rational_cusps': 2, 'reductions': ['2.3.0.a.1', '3.6.0.b.1'], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '6.36.1.a.1', 'sl2level': 6, 'squarefree': True, 'trace_hash': 1143229866697692889, 'traces': [0, 0, 0, -4, 0, 2, 0, 8, 0, 0, -4, -10, 0, 8, 0, 0, 0, 14, -16, 0, -10, -4, 0, 0, 14, 0, 20, 0, 2, 0, 20, 0, 0, -16, 0, -4, 14, 8, 0, 0, 0, 26, 0, 2, 0, -28, -16, -28, 0, -22, 0, 0, 14, 0, 0, 0, 0, -28, 26, 0, 32, 0, -16, 0, -22, 0, 32, -34, 0, 14, 0, 0, -4, 38, 8, 0, 0, -34, 0, 38, 0, -22, 0, 2, -28, 0, 0, -10, 0, 20, 0, 0, 44, 0, 32, 0, 0, 0, 8, -46, -40, 0, 0, 0, -16, -46, 0, 0, 0, 26, 20, -10, 0, 32, 44, 0, -40, 0, 0, 0, 38, 50, 0, 0, 8, 0, -22, 0, 44, 50, -16, 0, -52, 26, 0, 2, 0, 56, 0, 0, 56, 0, -52, 0, -46, 0, -58, 0, 56, 0, -34, 0, 8, 0, -40, 0, -52, 0, 26, 0, 0, 0, 20, 0, 0, 0, 44, -10]}
  73. label: 6.72.1.a.1
    {'CPlabel': '6F1', 'Glabel': '4.2', 'RSZBlabel': '6.72.1.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 0, 5], [5, 0, 0, 5]], 'cm_discriminants': [], 'coarse_class': '6.72.1.a', 'coarse_class_num': 1, 'coarse_index': 72, 'coarse_label': '6.72.1.a.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': [[2, 2], [3, 2]], 'contains_negative_one': True, 'curve_label': '36.a4', 'cusp_orbits': [[1, 6], [2, 3]], 'cusp_widths': [[6, 12]], 'cusps': 12, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': ['2.6.0.a.1', '3.12.0.a.1'], 'fine_num': 0, 'generators': [[5, 0, 0, 1], [5, 0, 0, 5]], 'genus': 1, 'genus_minus_rank': 1, 'has_obstruction': -1, 'index': 72, 'isogeny_orbits': [[2, 1, 3], [3, 1, 2], [3, 2, 1], [6, 1, 6], [6, 2, 3]], 'kummer_orbits': [[2, 1, 3], [3, 1, 2], [3, 2, 1], [6, 1, 6], [6, 2, 3]], 'label': '6.72.1.a.1', 'lattice_labels': ['1.1.0.a.1', '2.2.0.a.1', '2.3.0.a.1', '2.6.0.a.1', '3.3.0.a.1', '3.4.0.a.1', '3.6.0.b.1', '3.12.0.a.1', '6.6.0.c.1', '6.6.1.a.1', '6.8.0.a.1', '6.9.0.a.1', '6.12.0.a.1', '6.12.0.b.1', '6.12.1.b.1', '6.18.0.b.1', '6.18.0.c.1', '6.18.1.a.1', '6.24.0.a.1', '6.24.1.a.1', '6.36.0.a.1', '6.36.0.b.1', '6.36.1.b.1', '6.72.1.a.1'], 'lattice_x': [3440, 2897, 1365, 519, 6409, 3248, 4940, 3599, 8707, 7558, 758, 6409, 2067, 4972, 8420, 6121, 9569, 7271, 1333, 4493, 3344, 5962, 7430, 4493], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': {'__RealLiteral__': 0, 'data': '3.58351893845611000162', 'prec': 74}, 'mults': [1], 'name': 'Xsp(6)', 'newforms': ['36.2.a.a'], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 2, 'num_known_degree1_noncusp_points': 2, 'num_known_degree1_points': 2, 'obstructions': [], 'orbits': [[2, 1, 3], [3, 2, 2], [3, 4, 1], [6, 2, 6], [6, 4, 3]], 'parents': ['6.24.0.a.1', '6.24.1.a.1', '6.36.0.a.1', '6.36.0.b.1', '6.36.1.b.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': True, 'psl2index': 72, 'psl2label': '6.72.1.a.1', 'psl2level': 6, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 0, 'rational_cusps': 6, 'reductions': ['2.6.0.a.1', '3.12.0.a.1'], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '6.72.1.a.1', 'sl2level': 6, 'squarefree': True, 'trace_hash': 1143229866697692889, 'traces': [0, 0, 0, -4, 0, 2, 0, 8, 0, 0, -4, -10, 0, 8, 0, 0, 0, 14, -16, 0, -10, -4, 0, 0, 14, 0, 20, 0, 2, 0, 20, 0, 0, -16, 0, -4, 14, 8, 0, 0, 0, 26, 0, 2, 0, -28, -16, -28, 0, -22, 0, 0, 14, 0, 0, 0, 0, -28, 26, 0, 32, 0, -16, 0, -22, 0, 32, -34, 0, 14, 0, 0, -4, 38, 8, 0, 0, -34, 0, 38, 0, -22, 0, 2, -28, 0, 0, -10, 0, 20, 0, 0, 44, 0, 32, 0, 0, 0, 8, -46, -40, 0, 0, 0, -16, -46, 0, 0, 0, 26, 20, -10, 0, 32, 44, 0, -40, 0, 0, 0, 38, 50, 0, 0, 8, 0, -22, 0, 44, 50, -16, 0, -52, 26, 0, 2, 0, 56, 0, 0, 56, 0, -52, 0, -46, 0, -58, 0, 56, 0, -34, 0, 8, 0, -40, 0, -52, 0, 26, 0, 0, 0, 20, 0, 0, 0, 44, -10]}
  74. label: 6.72.1.b.1
    {'CPlabel': '6F1', 'Glabel': '4.2', 'RSZBlabel': '6.72.1.2', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [2, 1, 5, 5], 'canonical_generators': [[0, 1, 1, 0], [5, 0, 0, 5]], 'cm_discriminants': [], 'coarse_class': '6.72.1.b', 'coarse_class_num': 2, 'coarse_index': 72, 'coarse_label': '6.72.1.b.1', 'coarse_level': 6, 'coarse_num': 1, 'conductor': [[2, 2], [3, 2]], 'contains_negative_one': True, 'curve_label': '36.a3', 'cusp_orbits': [[1, 2], [2, 5]], 'cusp_widths': [[6, 12]], 'cusps': 12, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[5, 0, 0, 5], [5, 3, 0, 1]], 'genus': 1, 'genus_minus_rank': 1, 'has_obstruction': -1, 'index': 72, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 2], [3, 2, 1], [6, 1, 2], [6, 2, 5]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 2], [3, 2, 1], [6, 1, 2], [6, 2, 5]], 'label': '6.72.1.b.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '3.3.0.a.1', '3.4.0.a.1', '3.6.0.b.1', '3.12.0.a.1', '6.2.0.a.1', '6.6.0.a.1', '6.6.0.b.1', '6.6.0.d.1', '6.6.1.b.1', '6.8.0.b.1', '6.9.0.a.1', '6.12.0.a.1', '6.12.0.b.1', '6.12.1.d.1', '6.18.0.b.1', '6.18.0.d.1', '6.18.1.b.1', '6.24.0.b.1', '6.24.0.c.1', '6.24.1.b.1', '6.36.0.a.1', '6.36.0.b.1', '6.36.1.d.1', '6.72.1.b.1'], 'lattice_x': [6667, 7256, 3032, 8434, 4353, 5963, 6078, 7256, 5675, 675, 1997, 7744, 3032, 9468, 4727, 1624, 3692, 589, 2658, 8391, 7227, 5158, 6192, 3836, 2514, 5675], 'level': 6, 'level_is_squarefree': True, 'level_radical': 6, 'log_conductor': {'__RealLiteral__': 0, 'data': '3.58351893845611000162', 'prec': 74}, 'mults': [1], 'name': None, 'newforms': ['36.2.a.a'], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 2, 'num_known_degree1_noncusp_points': 2, 'num_known_degree1_points': 2, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 2, 2], [3, 4, 1], [6, 2, 2], [6, 4, 5]], 'parents': ['6.24.0.b.1', '6.24.0.c.1', '6.24.1.b.1', '6.36.0.a.1', '6.36.0.b.1', '6.36.1.d.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [3, 5, 4, 1], [1, 0, 0, 1], [4, 5, 1, 1], [1, 3, 2, 1]], 'pointless': False, 'power': True, 'psl2index': 72, 'psl2label': '6.72.1.a.1', 'psl2level': 6, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 0, 'rational_cusps': 2, 'reductions': ['2.3.0.a.1', '3.12.0.a.1'], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '6.72.1.a.1', 'sl2level': 6, 'squarefree': True, 'trace_hash': 1143229866697692889, 'traces': [0, 0, 0, -4, 0, 2, 0, 8, 0, 0, -4, -10, 0, 8, 0, 0, 0, 14, -16, 0, -10, -4, 0, 0, 14, 0, 20, 0, 2, 0, 20, 0, 0, -16, 0, -4, 14, 8, 0, 0, 0, 26, 0, 2, 0, -28, -16, -28, 0, -22, 0, 0, 14, 0, 0, 0, 0, -28, 26, 0, 32, 0, -16, 0, -22, 0, 32, -34, 0, 14, 0, 0, -4, 38, 8, 0, 0, -34, 0, 38, 0, -22, 0, 2, -28, 0, 0, -10, 0, 20, 0, 0, 44, 0, 32, 0, 0, 0, 8, -46, -40, 0, 0, 0, -16, -46, 0, 0, 0, 26, 20, -10, 0, 32, 44, 0, -40, 0, 0, 0, 38, 50, 0, 0, 8, 0, -22, 0, 44, 50, -16, 0, -52, 26, 0, 2, 0, 56, 0, 0, 56, 0, -52, 0, -46, 0, -58, 0, 56, 0, -34, 0, 8, 0, -40, 0, -52, 0, 26, 0, 0, 0, 20, 0, 0, 0, 44, -10]}
  75. label: 7.8.0.a.1
    {'CPlabel': '7B0', 'Glabel': '252.28', 'RSZBlabel': '7.8.0.1', 'RZBlabel': None, 'SZlabel': '7B0-7a', 'Slabel': '7B', 'all_degree1_points_known': None, 'bad_primes': [7], 'canonical_conjugator': [0, 1, 6, 6], 'canonical_generators': [[0, 1, 6, 5], [0, 2, 2, 0], [0, 2, 3, 1], [0, 3, 4, 1], [0, 4, 3, 6]], 'cm_discriminants': [-7, -28], 'coarse_class': '7.8.0.a', 'coarse_class_num': 1, 'coarse_index': 8, 'coarse_label': '7.8.0.a.1', 'coarse_level': 7, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2]], 'cusp_widths': [[1, 1], [7, 1]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[5, 3, 0, 6], [6, 2, 0, 4]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 8, 'isogeny_orbits': [[7, 1, 1], [7, 7, 1]], 'kummer_orbits': [[7, 3, 1], [7, 21, 1]], 'label': '7.8.0.a.1', 'lattice_labels': ['1.1.0.a.1', '7.8.0.a.1'], 'lattice_x': [5000, 5000], 'level': 7, 'level_is_squarefree': True, 'level_radical': 7, 'log_conductor': None, 'mults': None, 'name': 'X0(7)', 'newforms': [], 'nu2': 0, 'nu3': 2, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 2465, 'num_known_degree1_noncusp_points': 2471, 'num_known_degree1_points': 2471, 'obstructions': [], 'orbits': [[7, 6, 1], [7, 42, 1]], 'parents': ['1.1.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 8, 'psl2label': '7.8.0.a.1', 'psl2level': 7, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '7.8.0.a.1', 'sl2level': 7, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  76. label: 7.21.0.a.1
    {'CPlabel': '7D0', 'Glabel': '96.62', 'RSZBlabel': '7.21.0.1', 'RZBlabel': None, 'SZlabel': '7D0-7a', 'Slabel': '7Nn', 'all_degree1_points_known': None, 'bad_primes': [7], 'canonical_conjugator': [5, 0, 6, 6], 'canonical_generators': [[0, 1, 6, 3], [1, 5, 1, 6], [3, 3, 4, 5]], 'cm_discriminants': [-3, -4, -8, -11, -16, -43, -67, -163], 'coarse_class': '7.21.0.a', 'coarse_class_num': 1, 'coarse_index': 21, 'coarse_label': '7.21.0.a.1', 'coarse_level': 7, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[3, 1]], 'cusp_widths': [[7, 3]], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[3, 3, 5, 0], [4, 0, 3, 3]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 21, 'isogeny_orbits': [[7, 8, 1]], 'kummer_orbits': [[7, 24, 1]], 'label': '7.21.0.a.1', 'lattice_labels': ['1.1.0.a.1', '7.21.0.a.1'], 'lattice_x': [5000, 5000], 'level': 7, 'level_is_squarefree': True, 'level_radical': 7, 'log_conductor': None, 'mults': None, 'name': 'Xns+(7)', 'newforms': [], 'nu2': 5, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 22, 'num_known_degree1_noncusp_points': 22, 'num_known_degree1_points': 22, 'obstructions': [], 'orbits': [[7, 48, 1]], 'parents': ['1.1.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 21, 'psl2label': '7.21.0.a.1', 'psl2level': 7, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 0, 'reductions': [], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '7.21.0.a.1', 'sl2level': 7, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  77. label: 7.24.0.a.1
    {'CPlabel': '7E0', 'Glabel': '84.7', 'RSZBlabel': '7.24.0.1', 'RZBlabel': None, 'SZlabel': '7E0-7b', 'Slabel': '7B.6.1', 'all_degree1_points_known': None, 'bad_primes': [7], 'canonical_conjugator': [0, 1, 6, 6], 'canonical_generators': [[0, 1, 4, 3], [0, 1, 5, 4], [0, 1, 6, 5]], 'cm_discriminants': [], 'coarse_class': '7.24.0.a', 'coarse_class_num': 1, 'coarse_index': 24, 'coarse_label': '7.24.0.a.1', 'coarse_level': 7, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 3], [3, 1]], 'cusp_widths': [[1, 3], [7, 3]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[6, 0, 0, 5], [6, 5, 0, 1]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 24, 'isogeny_orbits': [[7, 1, 1], [7, 7, 1]], 'kummer_orbits': [[7, 1, 3], [7, 21, 1]], 'label': '7.24.0.a.1', 'lattice_labels': ['1.1.0.a.1', '7.8.0.a.1', '7.24.0.a.1'], 'lattice_x': [5000, 5000, 5000], 'level': 7, 'level_is_squarefree': True, 'level_radical': 7, 'log_conductor': None, 'mults': None, 'name': 'Xpm1(7)', 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 722, 'num_known_degree1_noncusp_points': 724, 'num_known_degree1_points': 724, 'obstructions': [], 'orbits': [[7, 2, 3], [7, 42, 1]], 'parents': ['7.8.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '7.24.0.a.1', 'psl2level': 7, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 3, 'reductions': [], 'scalar_label': '7.3.1', 'simple': None, 'sl2label': '7.24.0.a.1', 'sl2level': 7, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  78. label: 7.24.0.a.2
    {'CPlabel': '7E0', 'Glabel': '84.7', 'RSZBlabel': '7.24.0.2', 'RZBlabel': None, 'SZlabel': '7E0-7a', 'Slabel': '7B.6.3', 'all_degree1_points_known': None, 'bad_primes': [7], 'canonical_conjugator': [0, 1, 6, 6], 'canonical_generators': [[0, 1, 6, 5], [0, 2, 6, 4], [0, 3, 6, 3]], 'cm_discriminants': [], 'coarse_class': '7.24.0.a', 'coarse_class_num': 1, 'coarse_index': 24, 'coarse_label': '7.24.0.a.2', 'coarse_level': 7, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 3], [3, 1]], 'cusp_widths': [[1, 3], [7, 3]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[2, 1, 0, 6], [5, 5, 0, 6]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 24, 'isogeny_orbits': [[7, 1, 1], [7, 7, 1]], 'kummer_orbits': [[7, 3, 1], [7, 7, 3]], 'label': '7.24.0.a.2', 'lattice_labels': ['1.1.0.a.1', '7.8.0.a.1', '7.24.0.a.2'], 'lattice_x': [5000, 5000, 5000], 'level': 7, 'level_is_squarefree': True, 'level_radical': 7, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 719, 'num_known_degree1_noncusp_points': 722, 'num_known_degree1_points': 722, 'obstructions': [], 'orbits': [[7, 6, 1], [7, 14, 3]], 'parents': ['7.8.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '7.24.0.a.1', 'psl2level': 7, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 3, 'reductions': [], 'scalar_label': '7.3.1', 'simple': None, 'sl2label': '7.24.0.a.1', 'sl2level': 7, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  79. label: 7.24.0.b.1
    {'CPlabel': '7E0', 'Glabel': '84.12', 'RSZBlabel': '7.24.0.3', 'RZBlabel': None, 'SZlabel': None, 'Slabel': '7B.6.2', 'all_degree1_points_known': None, 'bad_primes': [7], 'canonical_conjugator': [0, 1, 6, 6], 'canonical_generators': [[0, 1, 6, 5], [0, 2, 2, 0], [0, 3, 4, 1], [0, 4, 3, 6]], 'cm_discriminants': [-7, -28], 'coarse_class': '7.24.0.b', 'coarse_class_num': 2, 'coarse_index': 24, 'coarse_label': '7.24.0.b.1', 'coarse_level': 7, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[3, 2]], 'cusp_widths': [[1, 3], [7, 3]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 3, 0, 6], [5, 5, 0, 5]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 24, 'isogeny_orbits': [[7, 1, 1], [7, 7, 1]], 'kummer_orbits': [[7, 3, 1], [7, 21, 1]], 'label': '7.24.0.b.1', 'lattice_labels': ['1.1.0.a.1', '7.8.0.a.1', '7.24.0.b.1'], 'lattice_x': [5000, 5000, 5000], 'level': 7, 'level_is_squarefree': True, 'level_radical': 7, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 48, 'num_known_degree1_noncusp_points': 48, 'num_known_degree1_points': 48, 'obstructions': [], 'orbits': [[7, 6, 1], [7, 42, 1]], 'parents': ['7.8.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '7.24.0.a.1', 'psl2level': 7, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 0, 'reductions': [], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '7.24.0.a.1', 'sl2level': 7, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  80. label: 7.28.0.a.1
    {'CPlabel': '7F0', 'Glabel': '72.30', 'RSZBlabel': '7.28.0.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': '7Ns', 'all_degree1_points_known': None, 'bad_primes': [7], 'canonical_conjugator': [5, 6, 6, 5], 'canonical_generators': [[0, 1, 6, 1], [0, 2, 2, 0], [0, 4, 3, 4], [1, 3, 4, 6], [2, 2, 4, 5]], 'cm_discriminants': [-3, -12, -19, -27], 'coarse_class': '7.28.0.a', 'coarse_class_num': 1, 'coarse_index': 28, 'coarse_label': '7.28.0.a.1', 'coarse_level': 7, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 1], [3, 1]], 'cusp_widths': [[7, 4]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[0, 3, 4, 0], [1, 0, 0, 5]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 28, 'isogeny_orbits': [[7, 2, 1], [7, 6, 1]], 'kummer_orbits': [[7, 6, 1], [7, 18, 1]], 'label': '7.28.0.a.1', 'lattice_labels': ['1.1.0.a.1', '7.28.0.a.1'], 'lattice_x': [5000, 5000], 'level': 7, 'level_is_squarefree': True, 'level_radical': 7, 'log_conductor': None, 'mults': None, 'name': 'Xsp+(7)', 'newforms': [], 'nu2': 4, 'nu3': 1, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 46, 'num_known_degree1_noncusp_points': 47, 'num_known_degree1_points': 47, 'obstructions': [], 'orbits': [[7, 12, 1], [7, 36, 1]], 'parents': ['1.1.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 28, 'psl2label': '7.28.0.a.1', 'psl2level': 7, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 1, 'reductions': [], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '7.28.0.a.1', 'sl2level': 7, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  81. label: 7.42.1.a.1
    {'CPlabel': '7A1', 'Glabel': '48.2', 'RSZBlabel': '7.42.1.2', 'RZBlabel': None, 'SZlabel': None, 'Slabel': '7Cn', 'all_degree1_points_known': None, 'bad_primes': [7], 'canonical_conjugator': [6, 5, 0, 1], 'canonical_generators': [[0, 1, 6, 3], [3, 3, 4, 5]], 'cm_discriminants': [], 'coarse_class': '7.42.1.a', 'coarse_class_num': 1, 'coarse_index': 42, 'coarse_label': '7.42.1.a.1', 'coarse_level': 7, 'coarse_num': 1, 'conductor': [[7, 2]], 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[6, 1]], 'cusp_widths': [[7, 6]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[1, 1, 5, 1]], 'genus': 1, 'genus_minus_rank': 1, 'has_obstruction': 1, 'index': 42, 'isogeny_orbits': [[7, 8, 1]], 'kummer_orbits': [[7, 24, 1]], 'label': '7.42.1.a.1', 'lattice_labels': ['1.1.0.a.1', '7.21.0.a.1', '7.42.1.a.1'], 'lattice_x': [5000, 5000, 5000], 'level': 7, 'level_is_squarefree': True, 'level_radical': 7, 'log_conductor': {'__RealLiteral__': 0, 'data': '3.89182029811062661021', 'prec': 74}, 'mults': [1], 'name': 'Xns(7)', 'newforms': ['49.2.a.a'], 'nu2': 2, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 1, 'num_known_degree1_noncusp_points': 1, 'num_known_degree1_points': 1, 'obstructions': [0], 'orbits': [[7, 48, 1]], 'parents': ['7.21.0.a.1'], 'parents_conj': [[1, 3, 1, 5]], 'pointless': True, 'power': True, 'psl2index': 42, 'psl2label': '7.42.1.a.1', 'psl2level': 7, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 0, 'rational_cusps': 0, 'reductions': [], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '7.42.1.a.1', 'sl2level': 7, 'squarefree': True, 'trace_hash': 1094831497817794886, 'traces': [1, 0, 0, 0, 4, 0, 0, 0, 8, 2, 0, -6, 0, -12, 0, -10, 0, 0, 4, 16, 0, 8, 0, 0, 0, 0, 0, -20, 18, 2, 16, 0, -10, 0, 22, -24, 0, -20, 0, 0, 4, 0, 8, 18, -26, 0, -12, 0, 0, 0, 22, 16, 0, 0, 0, 32, 0, 0, -10, -26, 0, 0, 0, 0, 0, -34, 36, 30, 4, 0, 0, 8, 0, 22, -12, 0, -38, 0, -34, 0, 0, -26, 32, 0, 0, -20, 2, -6, 0, -40, 0, 0, -24, 44, 36, 0, 0, 0, 0, -34, 44, 46, 0, 22, 4, 0, 0, 0, 32, 0, 0, -38, -26, 0, 16, 46, 0, 0, 50, 44, 0, 30, 0, -52, 0, 2, -6, 0, 0, 0, -52, -40, -48, -54, 0, 0, 0, 0, 0, -38, 0, 22, 32, 44, 0, 0, 0, 0, 0, 8, 50, 0, -12, 0, 60, 16, -48, 0, 0, 0, -20, 58, -40, 0, 46, 0, -24, 0]}
  82. label: 7.42.1.b.1
    {'CPlabel': '7A1', 'Glabel': '48.25', 'RSZBlabel': '7.42.1.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': '7Nn.1.3', 'all_degree1_points_known': None, 'bad_primes': [7], 'canonical_conjugator': [1, 3, 0, 1], 'canonical_generators': [[0, 1, 6, 3], [0, 2, 2, 0], [0, 3, 4, 2], [3, 5, 2, 4]], 'cm_discriminants': [-3], 'coarse_class': '7.42.1.b', 'coarse_class_num': 2, 'coarse_index': 42, 'coarse_label': '7.42.1.b.1', 'coarse_level': 7, 'coarse_num': 1, 'conductor': [[7, 2]], 'contains_negative_one': True, 'curve_label': '49.a1', 'cusp_orbits': [[3, 2]], 'cusp_widths': [[7, 6]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[4, 6, 0, 3], [6, 0, 1, 1]], 'genus': 1, 'genus_minus_rank': 1, 'has_obstruction': -1, 'index': 42, 'isogeny_orbits': [[7, 4, 2]], 'kummer_orbits': [[7, 12, 2]], 'label': '7.42.1.b.1', 'lattice_labels': ['1.1.0.a.1', '7.21.0.a.1', '7.42.1.b.1'], 'lattice_x': [5000, 5000, 5000], 'level': 7, 'level_is_squarefree': True, 'level_radical': 7, 'log_conductor': {'__RealLiteral__': 0, 'data': '3.89182029811062661021', 'prec': 74}, 'mults': [1], 'name': None, 'newforms': ['49.2.a.a'], 'nu2': 2, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 6, 'num_known_degree1_noncusp_points': 6, 'num_known_degree1_points': 6, 'obstructions': [], 'orbits': [[7, 24, 2]], 'parents': ['7.21.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': True, 'psl2index': 42, 'psl2label': '7.42.1.a.1', 'psl2level': 7, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 0, 'rational_cusps': 0, 'reductions': [], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '7.42.1.a.1', 'sl2level': 7, 'squarefree': True, 'trace_hash': 1094831497817794886, 'traces': [1, 0, 0, 0, 4, 0, 0, 0, 8, 2, 0, -6, 0, -12, 0, -10, 0, 0, 4, 16, 0, 8, 0, 0, 0, 0, 0, -20, 18, 2, 16, 0, -10, 0, 22, -24, 0, -20, 0, 0, 4, 0, 8, 18, -26, 0, -12, 0, 0, 0, 22, 16, 0, 0, 0, 32, 0, 0, -10, -26, 0, 0, 0, 0, 0, -34, 36, 30, 4, 0, 0, 8, 0, 22, -12, 0, -38, 0, -34, 0, 0, -26, 32, 0, 0, -20, 2, -6, 0, -40, 0, 0, -24, 44, 36, 0, 0, 0, 0, -34, 44, 46, 0, 22, 4, 0, 0, 0, 32, 0, 0, -38, -26, 0, 16, 46, 0, 0, 50, 44, 0, 30, 0, -52, 0, 2, -6, 0, 0, 0, -52, -40, -48, -54, 0, 0, 0, 0, 0, -38, 0, 22, 32, 44, 0, 0, 0, 0, 0, 8, 50, 0, -12, 0, 60, 16, -48, 0, 0, 0, -20, 58, -40, 0, 46, 0, -24, 0]}
  83. label: 7.56.1.a.1
    {'CPlabel': '7B1', 'Glabel': '36.14', 'RSZBlabel': '7.56.1.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': '7Cs', 'all_degree1_points_known': None, 'bad_primes': [7], 'canonical_conjugator': [5, 6, 6, 5], 'canonical_generators': [[0, 1, 6, 1], [0, 4, 3, 4], [1, 5, 2, 6]], 'cm_discriminants': [], 'coarse_class': '7.56.1.a', 'coarse_class_num': 1, 'coarse_index': 56, 'coarse_label': '7.56.1.a.1', 'coarse_level': 7, 'coarse_num': 1, 'conductor': [[7, 2]], 'contains_negative_one': True, 'curve_label': '49.a4', 'cusp_orbits': [[1, 2], [6, 1]], 'cusp_widths': [[7, 8]], 'cusps': 8, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[3, 0, 0, 2], [3, 0, 0, 3]], 'genus': 1, 'genus_minus_rank': 1, 'has_obstruction': -1, 'index': 56, 'isogeny_orbits': [[7, 1, 2], [7, 6, 1]], 'kummer_orbits': [[7, 3, 2], [7, 18, 1]], 'label': '7.56.1.a.1', 'lattice_labels': ['1.1.0.a.1', '7.8.0.a.1', '7.28.0.a.1', '7.56.1.a.1'], 'lattice_x': [4731, 1989, 7473, 4731], 'level': 7, 'level_is_squarefree': True, 'level_radical': 7, 'log_conductor': {'__RealLiteral__': 0, 'data': '3.89182029811062661021', 'prec': 74}, 'mults': [1], 'name': 'Xsp(7)', 'newforms': ['49.2.a.a'], 'nu2': 0, 'nu3': 2, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 15, 'num_known_degree1_noncusp_points': 15, 'num_known_degree1_points': 15, 'obstructions': [], 'orbits': [[7, 6, 2], [7, 36, 1]], 'parents': ['7.8.0.a.1', '7.28.0.a.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': True, 'psl2index': 56, 'psl2label': '7.56.1.a.1', 'psl2level': 7, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 0, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '7.56.1.a.1', 'sl2level': 7, 'squarefree': True, 'trace_hash': 1094831497817794886, 'traces': [1, 0, 0, 0, 4, 0, 0, 0, 8, 2, 0, -6, 0, -12, 0, -10, 0, 0, 4, 16, 0, 8, 0, 0, 0, 0, 0, -20, 18, 2, 16, 0, -10, 0, 22, -24, 0, -20, 0, 0, 4, 0, 8, 18, -26, 0, -12, 0, 0, 0, 22, 16, 0, 0, 0, 32, 0, 0, -10, -26, 0, 0, 0, 0, 0, -34, 36, 30, 4, 0, 0, 8, 0, 22, -12, 0, -38, 0, -34, 0, 0, -26, 32, 0, 0, -20, 2, -6, 0, -40, 0, 0, -24, 44, 36, 0, 0, 0, 0, -34, 44, 46, 0, 22, 4, 0, 0, 0, 32, 0, 0, -38, -26, 0, 16, 46, 0, 0, 50, 44, 0, 30, 0, -52, 0, 2, -6, 0, 0, 0, -52, -40, -48, -54, 0, 0, 0, 0, 0, -38, 0, 22, 32, 44, 0, 0, 0, 0, 0, 8, 50, 0, -12, 0, 60, 16, -48, 0, 0, 0, -20, 58, -40, 0, 46, 0, -24, 0]}
  84. label: 7.56.1.b.1
    {'CPlabel': '7B1', 'Glabel': '36.12', 'RSZBlabel': '7.56.1.2', 'RZBlabel': None, 'SZlabel': None, 'Slabel': '7Ns.3.1', 'all_degree1_points_known': None, 'bad_primes': [7], 'canonical_conjugator': [1, 4, 6, 5], 'canonical_generators': [[0, 1, 6, 1], [0, 2, 2, 0], [0, 4, 3, 4]], 'cm_discriminants': [], 'coarse_class': '7.56.1.b', 'coarse_class_num': 2, 'coarse_index': 56, 'coarse_label': '7.56.1.b.1', 'coarse_level': 7, 'coarse_num': 1, 'conductor': [[7, 2]], 'contains_negative_one': True, 'curve_label': '49.a2', 'cusp_orbits': [[2, 1], [3, 2]], 'cusp_widths': [[7, 8]], 'cusps': 8, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[0, 5, 6, 0], [3, 0, 0, 5]], 'genus': 1, 'genus_minus_rank': 1, 'has_obstruction': 0, 'index': 56, 'isogeny_orbits': [[7, 2, 1], [7, 3, 2]], 'kummer_orbits': [[7, 6, 1], [7, 9, 2]], 'label': '7.56.1.b.1', 'lattice_labels': ['1.1.0.a.1', '7.28.0.a.1', '7.56.1.b.1'], 'lattice_x': [5000, 5000, 5000], 'level': 7, 'level_is_squarefree': True, 'level_radical': 7, 'log_conductor': {'__RealLiteral__': 0, 'data': '3.89182029811062661021', 'prec': 74}, 'mults': [1], 'name': None, 'newforms': ['49.2.a.a'], 'nu2': 0, 'nu3': 2, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 14, 'num_known_degree1_noncusp_points': 14, 'num_known_degree1_points': 14, 'obstructions': [], 'orbits': [[7, 12, 1], [7, 18, 2]], 'parents': ['7.28.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': None, 'power': True, 'psl2index': 56, 'psl2label': '7.56.1.a.1', 'psl2level': 7, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 0, 'rational_cusps': 0, 'reductions': [], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '7.56.1.a.1', 'sl2level': 7, 'squarefree': True, 'trace_hash': 1094831497817794886, 'traces': [1, 0, 0, 0, 4, 0, 0, 0, 8, 2, 0, -6, 0, -12, 0, -10, 0, 0, 4, 16, 0, 8, 0, 0, 0, 0, 0, -20, 18, 2, 16, 0, -10, 0, 22, -24, 0, -20, 0, 0, 4, 0, 8, 18, -26, 0, -12, 0, 0, 0, 22, 16, 0, 0, 0, 32, 0, 0, -10, -26, 0, 0, 0, 0, 0, -34, 36, 30, 4, 0, 0, 8, 0, 22, -12, 0, -38, 0, -34, 0, 0, -26, 32, 0, 0, -20, 2, -6, 0, -40, 0, 0, -24, 44, 36, 0, 0, 0, 0, -34, 44, 46, 0, 22, 4, 0, 0, 0, 32, 0, 0, -38, -26, 0, 16, 46, 0, 0, 50, 44, 0, 30, 0, -52, 0, 2, -6, 0, 0, 0, -52, -40, -48, -54, 0, 0, 0, 0, 0, -38, 0, 22, 32, 44, 0, 0, 0, 0, 0, 8, 50, 0, -12, 0, 60, 16, -48, 0, 0, 0, -20, 58, -40, 0, 46, 0, -24, 0]}
  85. label: 7.84.1.a.1
    {'CPlabel': '7C1', 'Glabel': '24.10', 'RSZBlabel': '7.84.1.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': '7Ns.6.1.2', 'all_degree1_points_known': None, 'bad_primes': [7], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 6, 0], [0, 2, 2, 0], [0, 3, 4, 0]], 'cm_discriminants': [-3], 'coarse_class': '7.84.1.a', 'coarse_class_num': 1, 'coarse_index': 84, 'coarse_label': '7.84.1.a.1', 'coarse_level': 7, 'coarse_num': 1, 'conductor': [[7, 2]], 'contains_negative_one': True, 'curve_label': '49.a2', 'cusp_orbits': [[3, 2], [6, 1]], 'cusp_widths': [[7, 12]], 'cusps': 12, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[0, 4, 3, 0], [2, 0, 0, 5]], 'genus': 1, 'genus_minus_rank': 1, 'has_obstruction': -1, 'index': 84, 'isogeny_orbits': [[7, 2, 2], [7, 4, 1]], 'kummer_orbits': [[7, 6, 2], [7, 12, 1]], 'label': '7.84.1.a.1', 'lattice_labels': ['1.1.0.a.1', '7.21.0.a.1', '7.28.0.a.1', '7.42.1.b.1', '7.84.1.a.1'], 'lattice_x': [4835, 2582, 7418, 2363, 4890], 'level': 7, 'level_is_squarefree': True, 'level_radical': 7, 'log_conductor': {'__RealLiteral__': 0, 'data': '3.89182029811062661021', 'prec': 74}, 'mults': [1], 'name': None, 'newforms': ['49.2.a.a'], 'nu2': 4, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 6, 'num_known_degree1_noncusp_points': 6, 'num_known_degree1_points': 6, 'obstructions': [], 'orbits': [[7, 12, 2], [7, 24, 1]], 'parents': ['7.28.0.a.1', '7.42.1.b.1'], 'parents_conj': [[1, 0, 0, 1], [5, 3, 3, 0]], 'pointless': False, 'power': True, 'psl2index': 84, 'psl2label': '7.84.1.a.1', 'psl2level': 7, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 0, 'rational_cusps': 0, 'reductions': [], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '7.84.1.a.1', 'sl2level': 7, 'squarefree': True, 'trace_hash': 1094831497817794886, 'traces': [1, 0, 0, 0, 4, 0, 0, 0, 8, 2, 0, -6, 0, -12, 0, -10, 0, 0, 4, 16, 0, 8, 0, 0, 0, 0, 0, -20, 18, 2, 16, 0, -10, 0, 22, -24, 0, -20, 0, 0, 4, 0, 8, 18, -26, 0, -12, 0, 0, 0, 22, 16, 0, 0, 0, 32, 0, 0, -10, -26, 0, 0, 0, 0, 0, -34, 36, 30, 4, 0, 0, 8, 0, 22, -12, 0, -38, 0, -34, 0, 0, -26, 32, 0, 0, -20, 2, -6, 0, -40, 0, 0, -24, 44, 36, 0, 0, 0, 0, -34, 44, 46, 0, 22, 4, 0, 0, 0, 32, 0, 0, -38, -26, 0, 16, 46, 0, 0, 50, 44, 0, 30, 0, -52, 0, 2, -6, 0, 0, 0, -52, -40, -48, -54, 0, 0, 0, 0, 0, -38, 0, 22, 32, 44, 0, 0, 0, 0, 0, 8, 50, 0, -12, 0, 60, 16, -48, 0, 0, 0, -20, 58, -40, 0, 46, 0, -24, 0]}
  86. label: 7.168.3.a.1
    {'CPlabel': '7A3', 'Glabel': '12.5', 'RSZBlabel': '7.168.3.2', 'RZBlabel': None, 'SZlabel': None, 'Slabel': '7Cs.6.2', 'all_degree1_points_known': None, 'bad_primes': [7], 'canonical_conjugator': [4, 5, 2, 1], 'canonical_generators': [[0, 1, 4, 0], [6, 0, 0, 6]], 'cm_discriminants': [], 'coarse_class': '7.168.3.a', 'coarse_class_num': 1, 'coarse_index': 168, 'coarse_label': '7.168.3.a.1', 'coarse_level': 7, 'coarse_num': 1, 'conductor': [[7, 6]], 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[3, 2], [6, 3]], 'cusp_widths': [[7, 24]], 'cusps': 24, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[5, 0, 0, 2], [6, 0, 0, 6]], 'genus': 3, 'genus_minus_rank': 3, 'has_obstruction': 1, 'index': 168, 'isogeny_orbits': [[7, 1, 2], [7, 2, 3]], 'kummer_orbits': [[7, 3, 2], [7, 6, 3]], 'label': '7.168.3.a.1', 'lattice_labels': ['1.1.0.a.1', '7.8.0.a.1', '7.21.0.a.1', '7.24.0.b.1', '7.28.0.a.1', '7.42.1.b.1', '7.56.1.a.1', '7.56.1.b.1', '7.84.1.a.1', '7.168.3.a.1'], 'lattice_x': [5925, 2727, 8527, 846, 5925, 8809, 3542, 6238, 8495, 4890], 'level': 7, 'level_is_squarefree': True, 'level_radical': 7, 'log_conductor': {'__RealLiteral__': 0, 'data': '11.67546089433187983063', 'prec': 77}, 'mults': [3], 'name': None, 'newforms': ['49.2.a.a'], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 4, 'num_known_degree1_noncusp_points': 4, 'num_known_degree1_points': 4, 'obstructions': [2, 11, 23], 'orbits': [[7, 6, 2], [7, 12, 3]], 'parents': ['7.24.0.b.1', '7.56.1.a.1', '7.56.1.b.1', '7.84.1.a.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [5, 2, 6, 6], [1, 0, 0, 1]], 'pointless': True, 'power': True, 'psl2index': 168, 'psl2label': '7.168.3.a.1', 'psl2level': 7, 'q_gonality': None, 'q_gonality_bounds': [3, 4], 'qbar_gonality': 3, 'qbar_gonality_bounds': [3, 3], 'rank': 0, 'rational_cusps': 0, 'reductions': [], 'scalar_label': '1.1.1', 'simple': False, 'sl2label': '7.168.3.a.1', 'sl2level': 7, 'squarefree': False, 'trace_hash': 978651484239690707, 'traces': [3, 0, 0, 0, 12, 0, 0, 0, 24, 6, 0, -18, 0, -36, 0, -30, 0, 0, 12, 48, 0, 24, 0, 0, 0, 0, 0, -60, 54, 6, 48, 0, -30, 0, 66, -72, 0, -60, 0, 0, 12, 0, 24, 54, -78, 0, -36, 0, 0, 0, 66, 48, 0, 0, 0, 96, 0, 0, -30, -78, 0, 0, 0, 0, 0, -102, 108, 90, 12, 0, 0, 24, 0, 66, -36, 0, -114, 0, -102, 0, 0, -78, 96, 0, 0, -60, 6, -18, 0, -120, 0, 0, -72, 132, 108, 0, 0, 0, 0, -102, 132, 138, 0, 66, 12, 0, 0, 0, 96, 0, 0, -114, -78, 0, 48, 138, 0, 0, 150, 132, 0, 90, 0, -156, 0, 6, -18, 0, 0, 0, -156, -120, -144, -162, 0, 0, 0, 0, 0, -114, 0, 66, 96, 132, 0, 0, 0, 0, 0, 24, 150, 0, -36, 0, 180, 48, -144, 0, 0, 0, -60, 174, -120, 0, 138, 0, -72, 0]}
  87. label: 7.168.3.b.1
    {'CPlabel': '7A3', 'Glabel': '12.5', 'RSZBlabel': '7.168.3.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': '7Cs.6.1', 'all_degree1_points_known': None, 'bad_primes': [7], 'canonical_conjugator': [6, 6, 1, 4], 'canonical_generators': [[0, 1, 5, 4], [1, 2, 3, 2], [6, 0, 0, 6]], 'cm_discriminants': [], 'coarse_class': '7.168.3.b', 'coarse_class_num': 2, 'coarse_index': 168, 'coarse_label': '7.168.3.b.1', 'coarse_level': 7, 'coarse_num': 1, 'conductor': [[7, 6]], 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 3], [3, 1], [6, 3]], 'cusp_widths': [[7, 24]], 'cusps': 24, 'determinant_label': '1.1.1', 'dims': [1, 2], 'factorization': [], 'fine_num': 0, 'generators': [[3, 0, 0, 1], [6, 0, 0, 6]], 'genus': 3, 'genus_minus_rank': 3, 'has_obstruction': -1, 'index': 168, 'isogeny_orbits': [[7, 1, 2], [7, 6, 1]], 'kummer_orbits': [[7, 1, 3], [7, 3, 1], [7, 6, 3]], 'label': '7.168.3.b.1', 'lattice_labels': ['1.1.0.a.1', '7.8.0.a.1', '7.24.0.a.1', '7.24.0.a.2', '7.28.0.a.1', '7.56.1.a.1', '7.168.3.b.1'], 'lattice_x': [6387, 4525, 4416, 985, 8285, 8358, 4416], 'level': 7, 'level_is_squarefree': True, 'level_radical': 7, 'log_conductor': {'__RealLiteral__': 0, 'data': '11.67546089433187983063', 'prec': 77}, 'mults': [1, 1], 'name': None, 'newforms': ['49.2.a.a', '49.2.c.a'], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 6, 'num_known_degree1_noncusp_points': 6, 'num_known_degree1_points': 6, 'obstructions': [], 'orbits': [[7, 2, 3], [7, 6, 1], [7, 12, 3]], 'parents': ['7.24.0.a.1', '7.24.0.a.2', '7.56.1.a.1'], 'parents_conj': [[0, 5, 1, 3], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': False, 'psl2index': 168, 'psl2label': '7.168.3.a.1', 'psl2level': 7, 'q_gonality': 3, 'q_gonality_bounds': [3, 3], 'qbar_gonality': 3, 'qbar_gonality_bounds': [3, 3], 'rank': 0, 'rational_cusps': 3, 'reductions': [], 'scalar_label': '7.3.1', 'simple': False, 'sl2label': '7.168.3.a.1', 'sl2level': 7, 'squarefree': True, 'trace_hash': 2076650233719293191, 'traces': [0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, -36, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -78, 0, -36, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -78, 0, 0, 0, 0, 0, 0, 0, 90, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, -78, 0, 0, 0, 0, 6, 0, 0, -120, 0, 0, 0, 132, 0, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -78, 0, 48, 0, 0, 0, 0, 132, 0, 90, 0, 0, 0, 6, 0, 0, 0, 0, 0, -120, 0, -162, 0, 0, 0, 0, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 48, 0, 0, 0, 0, 0, 174, -120, 0, 0, 0, 0, 0]}
  88. label: 8.2.0.a.1
    {'CPlabel': '2A0', 'Glabel': '768.1085617', 'RSZBlabel': '8.2.0.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 1, 2], [0, 1, 3, 2], [0, 1, 5, 1], [0, 7, 1, 1], [1, 0, 2, 1], [1, 2, 0, 1], [3, 2, 6, 7]], 'cm_discriminants': [-4], 'coarse_class': '8.2.0.a', 'coarse_class_num': 1, 'coarse_index': 2, 'coarse_label': '8.2.0.a.1', 'coarse_level': 8, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 1]], 'cusp_widths': [[2, 1]], 'cusps': 1, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[6, 5, 3, 7], [6, 7, 7, 4]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 2, 'isogeny_orbits': [[2, 3, 1], [4, 6, 1], [8, 12, 1]], 'kummer_orbits': [[2, 3, 1], [4, 6, 1], [8, 24, 1]], 'label': '8.2.0.a.1', 'lattice_labels': ['1.1.0.a.1', '8.2.0.a.1'], 'lattice_x': [5000, 5000], 'level': 8, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 2, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 10142, 'num_known_degree1_noncusp_points': 10159, 'num_known_degree1_points': 10159, 'obstructions': [], 'orbits': [[2, 3, 1], [4, 12, 1], [8, 48, 1]], 'parents': ['1.1.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 2, 'psl2label': '2.2.0.a.1', 'psl2level': 2, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 1, 'reductions': ['1.1.0.a.1', '1.1.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '2.2.0.a.1', 'sl2level': 2, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  89. label: 8.2.0.b.1
    {'CPlabel': '2A0', 'Glabel': '768.1085621', 'RSZBlabel': '8.2.0.2', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 1, 1], [0, 1, 3, 2], [0, 1, 5, 2], [0, 7, 1, 1], [1, 0, 2, 1], [1, 2, 0, 1], [3, 2, 6, 7]], 'cm_discriminants': [-4, -8, -16], 'coarse_class': '8.2.0.b', 'coarse_class_num': 2, 'coarse_index': 2, 'coarse_label': '8.2.0.b.1', 'coarse_level': 8, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 1]], 'cusp_widths': [[2, 1]], 'cusps': 1, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[5, 2, 1, 1], [5, 7, 7, 0]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 2, 'isogeny_orbits': [[2, 3, 1], [4, 6, 1], [8, 12, 1]], 'kummer_orbits': [[2, 3, 1], [4, 6, 1], [8, 24, 1]], 'label': '8.2.0.b.1', 'lattice_labels': ['1.1.0.a.1', '8.2.0.b.1'], 'lattice_x': [5000, 5000], 'level': 8, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 2, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 11836, 'num_known_degree1_noncusp_points': 11837, 'num_known_degree1_points': 11837, 'obstructions': [], 'orbits': [[2, 3, 1], [4, 12, 1], [8, 48, 1]], 'parents': ['1.1.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 2, 'psl2label': '2.2.0.a.1', 'psl2level': 2, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 1, 'reductions': ['1.1.0.a.1', '1.1.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '2.2.0.a.1', 'sl2level': 2, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  90. label: 8.6.0.a.1
    {'CPlabel': '2C0', 'Glabel': '256.2902', 'RSZBlabel': '8.6.0.5', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [5, 0, 3, 1], 'canonical_generators': [[0, 1, 1, 2], [0, 1, 3, 2], [0, 1, 3, 6], [1, 0, 2, 1], [1, 2, 0, 1], [3, 2, 6, 7]], 'cm_discriminants': [-4], 'coarse_class': '8.6.0.a', 'coarse_class_num': 1, 'coarse_index': 6, 'coarse_label': '8.6.0.a.1', 'coarse_level': 8, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 1], [2, 1]], 'cusp_widths': [[2, 3]], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[3, 0, 2, 1], [3, 6, 0, 1], [7, 1, 4, 7]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 6, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [8, 4, 1], [8, 8, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [8, 8, 1], [8, 16, 1]], 'label': '8.6.0.a.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '8.2.0.a.1', '8.6.0.a.1'], 'lattice_x': [5342, 2534, 8151, 5342], 'level': 8, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 8076, 'num_known_degree1_noncusp_points': 8087, 'num_known_degree1_points': 8087, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1], [8, 16, 1], [8, 32, 1]], 'parents': ['2.3.0.a.1', '8.2.0.a.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 6, 'psl2label': '2.6.0.a.1', 'psl2level': 2, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 1, 'reductions': ['2.3.0.a.1', '2.3.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '2.6.0.a.1', 'sl2level': 2, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  91. label: 8.6.0.b.1
    {'CPlabel': '2C0', 'Glabel': '256.2910', 'RSZBlabel': '8.6.0.6', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [5, 0, 3, 1], 'canonical_generators': [[0, 1, 3, 2], [0, 1, 5, 0], [0, 1, 5, 2], [1, 0, 2, 1], [1, 2, 0, 1], [3, 2, 6, 7]], 'cm_discriminants': [-4, -8, -16], 'coarse_class': '8.6.0.b', 'coarse_class_num': 2, 'coarse_index': 6, 'coarse_label': '8.6.0.b.1', 'coarse_level': 8, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 1], [2, 1]], 'cusp_widths': [[2, 3]], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[3, 1, 2, 7], [3, 1, 4, 3], [3, 4, 4, 5]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 6, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [8, 4, 1], [8, 8, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [8, 8, 1], [8, 16, 1]], 'label': '8.6.0.b.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '8.2.0.b.1', '8.6.0.b.1'], 'lattice_x': [5342, 2534, 8151, 5342], 'level': 8, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 11279, 'num_known_degree1_noncusp_points': 11280, 'num_known_degree1_points': 11280, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1], [8, 16, 1], [8, 32, 1]], 'parents': ['2.3.0.a.1', '8.2.0.b.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 6, 'psl2label': '2.6.0.a.1', 'psl2level': 2, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 1, 'reductions': ['2.3.0.a.1', '2.3.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '2.6.0.a.1', 'sl2level': 2, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  92. label: 8.6.0.c.1
    {'CPlabel': '4B0', 'Glabel': '256.2902', 'RSZBlabel': '8.6.0.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [5, 0, 3, 1], 'canonical_generators': [[0, 1, 1, 4], [0, 1, 3, 0], [0, 1, 5, 2], [0, 5, 3, 2], [0, 7, 1, 2], [1, 0, 4, 1], [1, 4, 0, 1], [5, 4, 4, 5]], 'cm_discriminants': [-4, -8], 'coarse_class': '8.6.0.c', 'coarse_class_num': 3, 'coarse_index': 6, 'coarse_label': '8.6.0.c.1', 'coarse_level': 8, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 1], [2, 1]], 'cusp_widths': [[1, 2], [4, 1]], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 3, 6, 5], [3, 5, 4, 1], [5, 3, 2, 7]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 6, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [8, 4, 1], [8, 8, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [8, 8, 1], [8, 16, 1]], 'label': '8.6.0.c.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '8.6.0.c.1'], 'lattice_x': [5000, 5000, 5000], 'level': 8, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 11269, 'num_known_degree1_noncusp_points': 11272, 'num_known_degree1_points': 11272, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1], [8, 16, 1], [8, 32, 1]], 'parents': ['2.3.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 6, 'psl2label': '4.6.0.a.1', 'psl2level': 4, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 1, 'reductions': ['2.3.0.a.1', '2.3.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.6.0.a.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  93. label: 8.6.0.d.1
    {'CPlabel': '4B0', 'Glabel': '256.2910', 'RSZBlabel': '8.6.0.4', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [5, 0, 3, 1], 'canonical_generators': [[0, 1, 1, 2], [0, 1, 3, 0], [0, 1, 5, 0], [0, 5, 3, 2], [0, 7, 1, 2], [1, 0, 4, 1], [1, 4, 0, 1], [5, 4, 4, 5]], 'cm_discriminants': [-4], 'coarse_class': '8.6.0.d', 'coarse_class_num': 4, 'coarse_index': 6, 'coarse_label': '8.6.0.d.1', 'coarse_level': 8, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 1], [2, 1]], 'cusp_widths': [[1, 2], [4, 1]], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 5, 6, 3], [3, 0, 2, 7], [7, 1, 2, 7]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 6, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [8, 4, 1], [8, 8, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [8, 8, 1], [8, 16, 1]], 'label': '8.6.0.d.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '8.6.0.d.1'], 'lattice_x': [5000, 5000, 5000], 'level': 8, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 8076, 'num_known_degree1_noncusp_points': 8087, 'num_known_degree1_points': 8087, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1], [8, 16, 1], [8, 32, 1]], 'parents': ['2.3.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 6, 'psl2label': '4.6.0.a.1', 'psl2level': 4, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 1, 'reductions': ['2.3.0.a.1', '2.3.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.6.0.a.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  94. label: 8.6.0.e.1
    {'CPlabel': '4C0', 'Glabel': '256.2902', 'RSZBlabel': '8.6.0.3', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [5, 0, 3, 1], 'canonical_generators': [[0, 1, 1, 4], [0, 1, 3, 2], [0, 1, 5, 2], [0, 5, 3, 0], [1, 0, 4, 1], [1, 4, 0, 1], [2, 1, 3, 2], [5, 4, 4, 5]], 'cm_discriminants': [], 'coarse_class': '8.6.0.e', 'coarse_class_num': 5, 'coarse_index': 6, 'coarse_label': '8.6.0.e.1', 'coarse_level': 8, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2]], 'cusp_widths': [[2, 1], [4, 1]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 6, 2, 3], [7, 5, 6, 1], [7, 7, 2, 7]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 6, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [8, 4, 1], [8, 8, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [8, 8, 1], [8, 16, 1]], 'label': '8.6.0.e.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '8.6.0.e.1'], 'lattice_x': [5000, 5000, 5000], 'level': 8, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 2, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 1553, 'num_known_degree1_noncusp_points': 1557, 'num_known_degree1_points': 1557, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1], [8, 16, 1], [8, 32, 1]], 'parents': ['2.3.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 6, 'psl2label': '4.6.0.b.1', 'psl2level': 4, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': ['2.3.0.a.1', '2.3.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.6.0.b.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  95. label: 8.6.0.f.1
    {'CPlabel': '4C0', 'Glabel': '256.2910', 'RSZBlabel': '8.6.0.2', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [5, 0, 3, 1], 'canonical_generators': [[0, 1, 1, 2], [0, 1, 3, 2], [0, 1, 3, 6], [0, 5, 3, 0], [1, 0, 4, 1], [1, 4, 0, 1], [2, 1, 3, 2], [5, 4, 4, 5]], 'cm_discriminants': [-4, -16], 'coarse_class': '8.6.0.f', 'coarse_class_num': 6, 'coarse_index': 6, 'coarse_label': '8.6.0.f.1', 'coarse_level': 8, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2]], 'cusp_widths': [[2, 1], [4, 1]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 4, 6, 3], [3, 1, 6, 7], [5, 4, 4, 3]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 6, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [8, 4, 1], [8, 8, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [8, 8, 1], [8, 16, 1]], 'label': '8.6.0.f.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '8.6.0.f.1'], 'lattice_x': [5000, 5000, 5000], 'level': 8, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 2, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 1705, 'num_known_degree1_noncusp_points': 1708, 'num_known_degree1_points': 1708, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1], [8, 16, 1], [8, 32, 1]], 'parents': ['2.3.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 6, 'psl2label': '4.6.0.b.1', 'psl2level': 4, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': ['2.3.0.a.1', '2.3.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.6.0.b.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  96. label: 8.8.0.a.1
    {'CPlabel': '4D0', 'Glabel': '192.972', 'RSZBlabel': '8.8.0.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [3, 7, 0, 1], 'canonical_generators': [[0, 1, 1, 4], [0, 5, 3, 1], [1, 0, 4, 1], [1, 1, 2, 7], [1, 4, 0, 1], [2, 1, 3, 7], [5, 4, 4, 5]], 'cm_discriminants': [-4], 'coarse_class': '8.8.0.a', 'coarse_class_num': 1, 'coarse_index': 8, 'coarse_label': '8.8.0.a.1', 'coarse_level': 8, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 1]], 'cusp_widths': [[4, 2]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[4, 3, 3, 5], [4, 7, 5, 0]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 8, 'isogeny_orbits': [[2, 3, 1], [4, 6, 1], [8, 12, 1]], 'kummer_orbits': [[2, 3, 1], [4, 6, 1], [8, 24, 1]], 'label': '8.8.0.a.1', 'lattice_labels': ['1.1.0.a.1', '4.4.0.a.1', '8.2.0.a.1', '8.8.0.a.1'], 'lattice_x': [5602, 2831, 8374, 5602], 'level': 8, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 2, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 16, 'num_known_degree1_noncusp_points': 17, 'num_known_degree1_points': 17, 'obstructions': [], 'orbits': [[2, 3, 1], [4, 12, 1], [8, 48, 1]], 'parents': ['4.4.0.a.1', '8.2.0.a.1'], 'parents_conj': [[1, 3, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 8, 'psl2label': '4.8.0.a.1', 'psl2level': 4, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '4.4.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.8.0.a.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  97. label: 8.8.0.b.1
    {'CPlabel': '4D0', 'Glabel': '192.970', 'RSZBlabel': '8.8.0.2', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [3, 7, 0, 1], 'canonical_generators': [[0, 1, 5, 0], [0, 5, 3, 1], [1, 0, 4, 1], [1, 1, 2, 7], [1, 4, 0, 1], [2, 1, 7, 7], [5, 4, 4, 5]], 'cm_discriminants': [], 'coarse_class': '8.8.0.b', 'coarse_class_num': 2, 'coarse_index': 8, 'coarse_label': '8.8.0.b.1', 'coarse_level': 8, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 1]], 'cusp_widths': [[4, 2]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[0, 5, 7, 4], [4, 7, 3, 5]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': 1, 'index': 8, 'isogeny_orbits': [[2, 3, 1], [4, 6, 1], [8, 12, 1]], 'kummer_orbits': [[2, 3, 1], [4, 6, 1], [8, 24, 1]], 'label': '8.8.0.b.1', 'lattice_labels': ['1.1.0.a.1', '4.4.0.a.1', '8.2.0.b.1', '8.8.0.b.1'], 'lattice_x': [5602, 2831, 8374, 5602], 'level': 8, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 2, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 1, 'num_known_degree1_noncusp_points': 1, 'num_known_degree1_points': 1, 'obstructions': [0], 'orbits': [[2, 3, 1], [4, 12, 1], [8, 48, 1]], 'parents': ['4.4.0.a.1', '8.2.0.b.1'], 'parents_conj': [[2, 1, 3, 7], [1, 0, 0, 1]], 'pointless': True, 'power': None, 'psl2index': 8, 'psl2label': '4.8.0.a.1', 'psl2level': 4, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '4.4.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.8.0.a.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  98. label: 8.12.0.a.1
    {'CPlabel': '4E0', 'Glabel': '128.1116', 'RSZBlabel': '8.12.0.3', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [1, 1, 7, 6], 'canonical_generators': [[1, 0, 2, 1], [1, 0, 4, 1], [1, 2, 0, 5], [1, 2, 6, 1], [1, 2, 6, 7], [1, 4, 0, 1], [3, 0, 2, 3], [5, 4, 4, 5]], 'cm_discriminants': [-4], 'coarse_class': '8.12.0.a', 'coarse_class_num': 1, 'coarse_index': 12, 'coarse_label': '8.12.0.a.1', 'coarse_level': 8, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 1]], 'cusp_widths': [[2, 2], [4, 2]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[3, 4, 4, 3], [5, 0, 6, 7], [5, 2, 0, 3], [7, 2, 0, 7]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 12, 'isogeny_orbits': [[2, 1, 3], [4, 2, 3], [8, 4, 3]], 'kummer_orbits': [[2, 1, 3], [4, 2, 3], [8, 8, 3]], 'label': '8.12.0.a.1', 'lattice_labels': ['1.1.0.a.1', '2.2.0.a.1', '2.3.0.a.1', '2.6.0.a.1', '8.6.0.c.1', '8.6.0.f.1', '8.12.0.a.1'], 'lattice_x': [3921, 1806, 6035, 2203, 5639, 8811, 5639], 'level': 8, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 767, 'num_known_degree1_noncusp_points': 769, 'num_known_degree1_points': 769, 'obstructions': [], 'orbits': [[2, 1, 3], [4, 4, 3], [8, 16, 3]], 'parents': ['2.6.0.a.1', '8.6.0.c.1', '8.6.0.f.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 12, 'psl2label': '4.12.0.a.1', 'psl2level': 4, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': ['2.6.0.a.1', '2.6.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.12.0.a.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  99. label: 8.12.0.b.1
    {'CPlabel': '4E0', 'Glabel': '128.1116', 'RSZBlabel': '8.12.0.4', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [1, 1, 7, 6], 'canonical_generators': [[1, 0, 2, 1], [1, 0, 4, 1], [1, 2, 0, 5], [1, 2, 6, 1], [1, 2, 6, 3], [1, 4, 0, 1], [3, 0, 2, 3], [5, 4, 4, 5]], 'cm_discriminants': [], 'coarse_class': '8.12.0.b', 'coarse_class_num': 2, 'coarse_index': 12, 'coarse_label': '8.12.0.b.1', 'coarse_level': 8, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 1]], 'cusp_widths': [[2, 2], [4, 2]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[3, 0, 6, 7], [3, 2, 2, 1], [5, 2, 0, 5], [5, 4, 6, 3]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 12, 'isogeny_orbits': [[2, 1, 3], [4, 2, 3], [8, 4, 3]], 'kummer_orbits': [[2, 1, 3], [4, 2, 3], [8, 8, 3]], 'label': '8.12.0.b.1', 'lattice_labels': ['1.1.0.a.1', '2.2.0.a.1', '2.3.0.a.1', '2.6.0.a.1', '8.6.0.d.1', '8.6.0.e.1', '8.12.0.b.1'], 'lattice_x': [3921, 1806, 6035, 2203, 5639, 8811, 5639], 'level': 8, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 622, 'num_known_degree1_noncusp_points': 625, 'num_known_degree1_points': 625, 'obstructions': [], 'orbits': [[2, 1, 3], [4, 4, 3], [8, 16, 3]], 'parents': ['2.6.0.a.1', '8.6.0.d.1', '8.6.0.e.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 12, 'psl2label': '4.12.0.a.1', 'psl2level': 4, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': ['2.6.0.a.1', '2.6.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.12.0.a.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}
  100. label: 8.12.0.c.1
    {'CPlabel': '4E0', 'Glabel': '128.188', 'RSZBlabel': '8.12.0.25', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [0, 7, 7, 0], 'canonical_generators': [[1, 0, 1, 5], [1, 0, 2, 1], [1, 0, 4, 1], [1, 2, 1, 1], [1, 4, 0, 1], [1, 4, 1, 1], [3, 0, 2, 3], [5, 4, 4, 5]], 'cm_discriminants': [], 'coarse_class': '8.12.0.c', 'coarse_class_num': 3, 'coarse_index': 12, 'coarse_label': '8.12.0.c.1', 'coarse_level': 8, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 2]], 'cusp_widths': [[2, 2], [4, 2]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 4, 6, 3], [3, 5, 6, 7], [7, 3, 0, 3]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': 1, 'index': 12, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [8, 4, 1], [8, 8, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [8, 8, 1], [8, 16, 1]], 'label': '8.12.0.c.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '4.6.0.b.1', '8.2.0.a.1', '8.6.0.a.1', '8.6.0.f.1', '8.12.0.c.1'], 'lattice_x': [3350, 5370, 5123, 1330, 1576, 8670, 5123], 'level': 8, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 2, 'num_known_degree1_noncusp_points': 2, 'num_known_degree1_points': 2, 'obstructions': [0], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1], [8, 16, 1], [8, 32, 1]], 'parents': ['4.6.0.b.1', '8.6.0.a.1', '8.6.0.f.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': True, 'power': None, 'psl2index': 12, 'psl2label': '4.12.0.a.1', 'psl2level': 4, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 0, 'reductions': ['2.3.0.a.1', '4.6.0.b.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.12.0.a.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}