Table gps_gl2zhat_coarse
Open subgroups of GL(2,Zhat) that contain -I
{'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, 'id': 529152, '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': 70}, '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]}