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gps_gl2zhat_fine • Show schema
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{'CPlabel': '12P1', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 13], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 12, 1], [1, 0, 156, 1], [1, 3, 112, 65], [1, 12, 0, 1], [1, 156, 0, 1], [27, 130, 104, 79], [155, 0, 0, 311], [157, 156, 156, 157], [259, 182, 208, 207], [299, 300, 168, 167], [311, 286, 260, 207], [311, 304, 218, 195], [311, 307, 302, 195], [311, 310, 300, 169]], 'cm_discriminants': [], 'coarse_class': '156.48.1.bb', 'coarse_class_num': 28, 'coarse_index': 48, 'coarse_label': '156.48.1.bb.1', 'coarse_level': 156, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[2, 4]], 'cusp_widths': [[2, 2], [4, 2], [6, 2], [12, 2]], 'cusps': 8, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 6, 'generators': [[1, 122, 64, 213], [41, 273, 24, 59], [63, 179, 140, 291], [167, 75, 150, 47]], 'genus': 1, 'genus_minus_rank': None, 'has_obstruction': -1, 'index': 96, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 4, 1], [8, 8, 1], [12, 2, 1], [12, 4, 1], [12, 6, 1], [12, 12, 1], [13, 14, 1], [24, 4, 1], [24, 8, 1], [24, 12, 1], [24, 24, 1], [26, 14, 1], [26, 28, 1], [39, 14, 1], [39, 42, 1], [52, 28, 1], [52, 56, 1], [78, 14, 1], [78, 28, 1], [78, 42, 1], [78, 84, 1], [104, 56, 1], [104, 112, 1], [156, 28, 1], [156, 56, 1], [156, 84, 1], [156, 168, 1], [312, 56, 1], [312, 112, 1], [312, 168, 1], [312, 336, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 8, 1], [8, 16, 1], [12, 4, 1], [12, 8, 1], [12, 12, 1], [12, 24, 1], [13, 84, 1], [24, 16, 1], [24, 32, 1], [24, 48, 1], [24, 96, 1], [26, 84, 1], [26, 168, 1], [39, 168, 1], [39, 504, 1], [52, 336, 1], [52, 672, 1], [78, 168, 1], [78, 336, 1], [78, 504, 1], [78, 1008, 1], [104, 1344, 1], [104, 2688, 1], [156, 672, 1], [156, 1344, 1], [156, 2016, 1], [156, 4032, 1], [312, 2688, 1], [312, 5376, 1], [312, 8064, 1], [312, 16128, 1]], 'label': '312.96.1-156.bb.1.6', 'lattice_labels': None, 'lattice_x': None, 'level': 312, 'level_is_squarefree': False, 'level_radical': 78, 'log_conductor': None, 'models': None, 'mults': [1], 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 3, 'num_known_degree1_noncm_points': None, 'num_known_degree1_noncusp_points': None, 'num_known_degree1_points': None, 'obstructions': None, 'orbits': [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 6, 1], [4, 4, 1], [4, 8, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [8, 16, 1], [8, 32, 1], [12, 8, 1], [12, 16, 1], [12, 24, 1], [12, 48, 1], [13, 168, 1], [24, 32, 1], [24, 64, 1], [24, 96, 1], [24, 192, 1], [26, 168, 1], [26, 336, 1], [39, 336, 1], [39, 1008, 1], [52, 672, 1], [52, 1344, 1], [78, 336, 1], [78, 672, 1], [78, 1008, 1], [78, 2016, 1], [104, 2688, 1], [104, 5376, 1], [156, 1344, 1], [156, 2688, 1], [156, 4032, 1], [156, 8064, 1], [312, 5376, 1], [312, 10752, 1], [312, 16128, 1], [312, 32256, 1]], 'parents': ['24.48.0-12.h.1.6', '312.48.0-12.h.1.1', '312.48.0-156.t.1.6', '312.48.0-156.t.1.9', '312.48.1-156.p.1.5', '312.48.1-156.p.1.10'], 'parents_conj': None, 'pointless': None, 'power': True, 'psl2index': 48, 'psl2label': '12.48.1.a.1', 'psl2level': 12, 'q_gonality': None, 'q_gonality_bounds': [2, 48], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': None, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '3.4.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '6.12.0.a.1', '12.24.0.h.1', '24.48.0-12.h.1.6', '52.6.0.e.1', '52.6.0.e.1', '156.48.1.bb.1'], 'scalar_label': '3.2.1', 'simple': True, 'sl2label': '12.48.1.a.1', 'sl2level': 12, 'squarefree': True, 'trace_hash': None, 'traces': None}
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gps_gl2zhat_fine • Show schema
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{'CPlabel': '12P1', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 13], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 12, 1], [1, 2, 12, 143], [1, 3, 112, 65], [1, 5, 10, 117], [1, 8, 94, 117], [1, 12, 0, 1], [1, 26, 52, 105], [13, 12, 144, 145], [27, 130, 104, 79], [53, 130, 104, 105]], 'cm_discriminants': [], 'coarse_class': '156.48.1.bb', 'coarse_class_num': 28, 'coarse_index': 48, 'coarse_label': '156.48.1.bb.1', 'coarse_level': 156, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 4]], 'cusp_widths': [[2, 2], [4, 2], [6, 2], [12, 2]], 'cusps': 8, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[45, 118, 148, 123], [117, 131, 46, 149], [119, 9, 120, 113], [119, 120, 50, 25]], 'genus': 1, 'genus_minus_rank': None, 'has_obstruction': -1, 'index': 48, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [12, 2, 1], [12, 4, 1], [12, 6, 1], [12, 12, 1], [13, 14, 1], [26, 14, 1], [26, 28, 1], [39, 14, 1], [39, 42, 1], [52, 28, 1], [52, 56, 1], [78, 14, 1], [78, 28, 1], [78, 42, 1], [78, 84, 1], [156, 28, 1], [156, 56, 1], [156, 84, 1], [156, 168, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [12, 4, 1], [12, 8, 1], [12, 12, 1], [12, 24, 1], [13, 84, 1], [26, 84, 1], [26, 168, 1], [39, 168, 1], [39, 504, 1], [52, 336, 1], [52, 672, 1], [78, 168, 1], [78, 336, 1], [78, 504, 1], [78, 1008, 1], [156, 672, 1], [156, 1344, 1], [156, 2016, 1], [156, 4032, 1]], 'label': '156.48.1.bb.1', 'lattice_labels': None, 'lattice_x': None, 'level': 156, 'level_is_squarefree': False, 'level_radical': 78, 'log_conductor': None, 'models': None, 'mults': [1], 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 3, 'num_known_degree1_noncm_points': None, 'num_known_degree1_noncusp_points': None, 'num_known_degree1_points': None, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 6, 1], [4, 4, 1], [4, 8, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [12, 8, 1], [12, 16, 1], [12, 24, 1], [12, 48, 1], [13, 168, 1], [26, 168, 1], [26, 336, 1], [39, 336, 1], [39, 1008, 1], [52, 672, 1], [52, 1344, 1], [78, 336, 1], [78, 672, 1], [78, 1008, 1], [78, 2016, 1], [156, 1344, 1], [156, 2688, 1], [156, 4032, 1], [156, 8064, 1]], 'parents': ['12.24.0.h.1', '156.12.0.t.1', '156.24.0.t.1', '156.24.1.p.1'], 'parents_conj': [[1, 0, 0, 1], [36, 143, 61, 6], [79, 0, 39, 79], [79, 0, 39, 79]], 'pointless': None, 'power': True, 'psl2index': 48, 'psl2label': '12.48.1.a.1', 'psl2level': 12, 'q_gonality': None, 'q_gonality_bounds': [2, 48], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': None, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '3.4.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '6.12.0.a.1', '12.24.0.h.1', '52.6.0.e.1'], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '12.48.1.a.1', 'sl2level': 12, 'squarefree': True, 'trace_hash': None, 'traces': None}
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modcurve 156.48.1.bb.1 does not appear in modcurve_models
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domain_label 156.48.1.bb.1 does not appear in modcurve_modelmaps
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curve_label 156.48.1.bb.1 does not appear in modcurve_points