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gps_gl2zhat_fine • Show schema
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{'CPlabel': '4E0', 'Glabel': None, 'RSZBlabel': '40.24.0.4', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 5], 'canonical_conjugator': [33, 26, 15, 31], 'canonical_generators': [[1, 0, 4, 1], [1, 0, 10, 1], [1, 2, 4, 35], [1, 2, 24, 25], [1, 2, 24, 35], [1, 4, 0, 1], [1, 4, 12, 15], [5, 4, 36, 37], [29, 0, 30, 29]], 'cm_discriminants': [], 'coarse_class': '40.12.0.b', 'coarse_class_num': 2, 'coarse_index': 12, 'coarse_label': '40.12.0.b.1', 'coarse_level': 40, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, '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': 1, 'generators': [[13, 32, 20, 9], [23, 34, 30, 23], [29, 24, 14, 15], [35, 34, 38, 13]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 24, 'isogeny_orbits': [[2, 1, 3], [4, 2, 3], [5, 6, 1], [8, 4, 3], [10, 6, 3], [20, 12, 3], [40, 24, 3]], 'kummer_orbits': [[2, 1, 3], [4, 2, 3], [5, 12, 1], [8, 8, 3], [10, 12, 3], [20, 48, 3], [40, 192, 3]], 'label': '40.24.0-40.b.1.1', 'lattice_labels': None, 'lattice_x': None, 'level': 40, 'level_is_squarefree': False, 'level_radical': 10, 'log_conductor': None, 'models': None, 'mults': None, 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 317, 'num_known_degree1_noncusp_points': 317, 'num_known_degree1_points': 318, 'obstructions': None, 'orbits': [[2, 1, 3], [4, 2, 2], [4, 4, 2], [5, 24, 1], [8, 8, 2], [8, 16, 2], [10, 24, 3], [20, 48, 2], [20, 96, 2], [40, 192, 2], [40, 384, 2]], 'parents': ['4.12.0-2.a.1.1', '40.12.0-2.a.1.1'], 'parents_conj': None, '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': ['1.1.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '4.12.0-2.a.1.1', '4.12.0-2.a.1.1', '4.12.0-2.a.1.1'], 'scalar_label': '4.2.1', 'simple': None, 'sl2label': '4.24.0-4.a.1.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': None}
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gps_gl2zhat_fine • Show schema
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{'CPlabel': '4E0', 'Glabel': None, 'RSZBlabel': '40.12.0.4', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 5], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 4, 1], [1, 0, 10, 1], [1, 2, 4, 35], [1, 2, 24, 25], [1, 2, 24, 35], [1, 4, 0, 1], [1, 4, 12, 15], [5, 4, 36, 37], [11, 0, 10, 11]], 'cm_discriminants': [], 'coarse_class': '40.12.0.b', 'coarse_class_num': 2, 'coarse_index': 12, 'coarse_label': '40.12.0.b.1', 'coarse_level': 40, '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, 4, 0, 13], [3, 10, 26, 29], [29, 20, 12, 31], [37, 4, 10, 13], [37, 22, 8, 7]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 12, 'isogeny_orbits': [[2, 1, 3], [4, 2, 3], [5, 6, 1], [8, 4, 3], [10, 6, 3], [20, 12, 3], [40, 24, 3]], 'kummer_orbits': [[2, 1, 3], [4, 2, 3], [5, 12, 1], [8, 8, 3], [10, 12, 3], [20, 48, 3], [40, 192, 3]], 'label': '40.12.0.b.1', 'lattice_labels': ['1.1.0.a.1', '2.2.0.a.1', '2.3.0.a.1', '2.6.0.a.1', '40.6.0.d.1', '40.6.0.e.1', '40.12.0.b.1'], 'lattice_x': [3921, 1806, 6035, 2203, 5639, 8811, 5639], 'level': 40, 'level_is_squarefree': False, 'level_radical': 10, 'log_conductor': None, 'models': 1, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 317, 'num_known_degree1_noncusp_points': 317, 'num_known_degree1_points': 318, 'obstructions': [], 'orbits': [[2, 1, 3], [4, 4, 3], [5, 24, 1], [8, 16, 3], [10, 24, 3], [20, 96, 3], [40, 384, 3]], 'parents': ['2.6.0.a.1', '40.6.0.d.1', '40.6.0.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': ['1.1.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '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': []}
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modcurve 40.12.0.b.1 does not appear in modcurve_models
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modcurve_modelmaps • Show schema
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{'codomain_label': '1.1.0.a.1', 'codomain_model_type': 1, 'coordinates': ['x^12*(25*x^4+10*x^2*y^2+4*y^4)^3', 'y^4*x^16*(5*x^2+2*y^2)^2'], 'degree': 12, 'domain_label': '40.12.0.b.1', 'domain_model_type': 1, 'dont_display': False, 'factored': True, 'leading_coefficients': ['2^6', '5^2'], 'upload_id': None}
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modcurve_points • Show schema
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id: 12531
{'Elabel': '1120.g3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1120, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '40.12.0.b.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 15.1495680217486, 'jinv': '3796416/1225', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1848411
{'Elabel': None, 'ainvs': None, 'cardinality': 2, 'cm': 0, 'conductor_norm': None, 'coordinates': {'1': ['0:1', '1:0']}, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '40.12.0.b.1', 'curve_level': 40, 'curve_name': None, 'cusp': True, 'degree': 1, 'isolated': None, 'j_field': '1.1.1.1', 'j_height': 0.0, 'jinv': None, 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 5487
{'Elabel': '370.b2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 370, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '40.12.0.b.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 21.2926465518444, 'jinv': '1767172329/136900', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 5768
{'Elabel': '390.f3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 390, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '40.12.0.b.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 30.6241908435926, 'jinv': '19948814692561/231344100', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 7122
{'Elabel': '520.a2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 520, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '40.12.0.b.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 15.9657315742049, 'jinv': '8586756/4225', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 10162
{'Elabel': '840.d2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 840, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '40.12.0.b.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 24.2498798495494, 'jinv': '34008619684/4862025', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 11042
{'Elabel': '910.b2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 910, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '40.12.0.b.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 38.2256710477105, 'jinv': '39920686684059609/6492304000000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 12462
{'Elabel': '1110.k3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1110, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '40.12.0.b.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 42.4721921845752, 'jinv': '2788936974993502801/1593609593601600', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 14722
{'Elabel': '1320.f3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1320, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '40.12.0.b.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 29.4106634106211, 'jinv': '5927735656804/2401490025', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 14989
{'Elabel': '1330.d2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1330, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '40.12.0.b.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 29.2315404898957, 'jinv': '4955605568649/28302400', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 16499
{'Elabel': '1570.b2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1570, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '40.12.0.b.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 29.8062665131994, 'jinv': '8804345419449/1540562500', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 16979
{'Elabel': '1610.g2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1610, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '40.12.0.b.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 30.4698509980218, 'jinv': '17095749786081/2592100', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 17190
{'Elabel': '1640.c2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1640, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '40.12.0.b.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 23.5954776343902, 'jinv': '17676070884/42025', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 17884
{'Elabel': '1760.g3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1760, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '40.12.0.b.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 18.2874736872967, 'jinv': '87528384/3025', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 22171
{'Elabel': '2280.h2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2280, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '40.12.0.b.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 36.711263414406, 'jinv': '8780093172522724/263900025', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 22468
{'Elabel': '2310.g2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2310, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '40.12.0.b.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 25.2281557163458, 'jinv': '90458382169/48024900', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 22498
{'Elabel': '2310.h2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2310, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '40.12.0.b.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 54.5008662396265, 'jinv': '467116778179943012100169/28800309694464000000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 22525
{'Elabel': '2310.h5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2310, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '40.12.0.b.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 49.3137839849688, 'jinv': '2610383204210122997209/12104550027662400', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 24306
{'Elabel': '2530.b2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2530, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '40.12.0.b.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 32.3374313169423, 'jinv': '110654219664729/64009000000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 40583
{'Elabel': '5170.c2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 5170, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '40.12.0.b.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 37.459385820613, 'jinv': '18552590440692489/6842598400', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 40777
{'Elabel': '5190.e2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 5190, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '40.12.0.b.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 30.2784782977139, 'jinv': '14118093218809/3878798400', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 41495
{'Elabel': '5320.c2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 5320, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '40.12.0.b.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 30.5538096573501, 'jinv': '18593062763076/276390625', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 47722
{'Elabel': '6360.e2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 6360, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '40.12.0.b.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 24.7965995319764, 'jinv': '58752499396/5688225', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 48161
{'Elabel': '6410.d2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 6410, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '40.12.0.b.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 38.7735002126068, 'jinv': '69042607753627521/657409600', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 48829
{'Elabel': '6510.bb3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 6510, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '40.12.0.b.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 45.8783359940378, 'jinv': '84082992761153443681/43123709753000100', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 52636
{'Elabel': '7230.p2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 7230, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '40.12.0.b.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 32.1513091471407, 'jinv': '91862053306561/38106944100', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 54317
{'Elabel': '7590.u2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 7590, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '40.12.0.b.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 66.4002520787084, 'jinv': '68748475920312858086473939441/5309909096976000000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 60653
{'Elabel': '8790.a2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 8790, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '40.12.0.b.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 34.0302879299101, 'jinv': '601403935229929/695376900', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 62564
{'Elabel': '9120.g3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 9120, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '40.12.0.b.1', 'curve_level': 40, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 20.9652395459988, 'jinv': '1273760704/731025', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 62985
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id: 1201371
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id: 1212775
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id: 1219577
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id: 1220240
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id: 1221148
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id: 1223721
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id: 1227040
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id: 1238288
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id: 1238649
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id: 1244281
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id: 1248767
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id: 1250885
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