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gps_gl2zhat_fine • Show schema
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{'CPlabel': '12E0', 'Glabel': '96.87', 'RSZBlabel': '12.48.0.59', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [7, 0, 11, 11], 'canonical_generators': [[0, 1, 5, 10], [0, 1, 11, 10], [0, 7, 5, 10], [0, 7, 11, 10], [0, 11, 5, 6]], 'cm_discriminants': [], 'coarse_class': '12.24.0.f', 'coarse_class_num': 6, 'coarse_index': 24, 'coarse_label': '12.24.0.f.1', 'coarse_level': 12, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[1, 2], [3, 2], [4, 1], [12, 1]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 3, 'generators': [[1, 7, 6, 5], [5, 0, 6, 7], [7, 7, 0, 11]], 'genus': 0, 'genus_minus_rank': 0, '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]], '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]], 'label': '12.48.0-12.f.1.3', 'lattice_labels': None, 'lattice_x': None, 'level': 12, 'level_is_squarefree': False, 'level_radical': 6, 'log_conductor': None, 'models': None, 'mults': None, 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 84, 'num_known_degree1_noncusp_points': 84, 'num_known_degree1_points': 85, '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, 3], [12, 8, 1], [12, 16, 1], [12, 24, 3]], 'parents': ['6.24.0-6.a.1.3', '12.24.0-6.a.1.6'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '12.24.0.a.1', 'psl2level': 12, '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', '4.6.0.b.1', '6.24.0-6.a.1.3'], 'scalar_label': '3.2.1', 'simple': None, 'sl2label': '12.48.0-12.a.1.2', 'sl2level': 12, 'squarefree': None, 'trace_hash': 0, 'traces': None}
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gps_gl2zhat_fine • Show schema
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{'CPlabel': '12E0', 'Glabel': '192.1043', 'RSZBlabel': '12.24.0.4', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [7, 0, 11, 11], 'canonical_generators': [[0, 1, 5, 10], [0, 1, 7, 6], [0, 1, 11, 10], [0, 5, 1, 2], [0, 5, 7, 2], [0, 7, 5, 10]], 'cm_discriminants': [], 'coarse_class': '12.24.0.f', 'coarse_class_num': 6, 'coarse_index': 24, 'coarse_label': '12.24.0.f.1', 'coarse_level': 12, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[1, 2], [3, 2], [4, 1], [12, 1]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': ['3.4.0.a.1', '4.6.0.b.1'], 'fine_num': 0, 'generators': [[1, 2, 0, 5], [1, 11, 6, 5], [5, 11, 0, 1], [7, 3, 0, 7]], '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], [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]], '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]], 'label': '12.24.0.f.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '3.4.0.a.1', '4.6.0.b.1', '6.12.0.a.1', '12.24.0.f.1'], 'lattice_x': [3750, 5544, 2011, 8533, 5000, 6739], 'level': 12, 'level_is_squarefree': False, 'level_radical': 6, 'log_conductor': None, 'models': 1, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 84, 'num_known_degree1_noncusp_points': 84, 'num_known_degree1_points': 85, '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]], 'parents': ['4.6.0.b.1', '6.12.0.a.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '12.24.0.a.1', 'psl2level': 12, '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', '4.6.0.b.1', '6.12.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '12.24.0.a.1', 'sl2level': 12, 'squarefree': None, 'trace_hash': 0, 'traces': []}
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modcurve 12.24.0.f.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^24*(3*x^2+4*y^2)^3*(3*x^6+12*x^4*y^2+144*x^2*y^4+64*y^6)^3', 'y^4*x^36*(x^2+4*y^2)^3*(9*x^2+4*y^2)'], 'degree': 24, 'domain_label': '12.24.0.f.1', 'domain_model_type': 1, 'dont_display': False, 'factored': True, 'leading_coefficients': ['1', '2^4'], 'upload_id': None}
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modcurve_points • Show schema
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id: 3166
{'Elabel': '170.a1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 170, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.f.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 36.6195526396411, 'jinv': '8010684753304969/4456448000000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 3176
{'Elabel': '170.a2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 170, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.f.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 35.149288247096, 'jinv': '1841373668746009/31443200', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1663570
{'Elabel': None, 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': None, 'coordinates': {'1': ['0,2:1,0']}, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.f.1', 'curve_level': 12, 'curve_name': None, 'cusp': True, 'degree': 2, 'isolated': None, 'j_field': '1.1.1.1', 'j_height': 0.0, 'jinv': None, 'jorig': None, 'quo_info': None, 'residue_field': '2.0.4.1', 'upload_id': None}
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id: 527
{'Elabel': '20.a1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 20, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.f.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 20.0060221412947, 'jinv': '488095744/125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1848128
{'Elabel': None, 'ainvs': None, 'cardinality': 2, 'cm': 0, 'conductor_norm': None, 'coordinates': {'1': ['0:1', '1:0']}, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.f.1', 'curve_level': 12, '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: 558
{'Elabel': '20.a3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 20, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.f.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 9.70406052783923, 'jinv': '16384/5', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 2622
{'Elabel': '130.a1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 130, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.f.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 27.6192982414355, 'jinv': '988345570681/44994560', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 2628
{'Elabel': '130.a2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 130, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.f.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 22.0592457615463, 'jinv': '3803721481/26000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 5503
{'Elabel': '370.d1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 370, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.f.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 37.3258167560743, 'jinv': '16232905099479601/4052240', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 5517
{'Elabel': '370.d3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 370, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.f.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 24.5669005909466, 'jinv': '46694890801/18944000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 23886
{'Elabel': '2460.c1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2460, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.f.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 43.7955614305222, 'jinv': '10475401104030908416/27913005', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 23900
{'Elabel': '2460.c3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2460, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.f.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 30.7105283910501, 'jinv': '21747684130816/2723635125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 27012
{'Elabel': '2910.f1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2910, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.f.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 50.7504551071717, 'jinv': '10981018093201653681001/31007026918195200', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 27026
{'Elabel': '2910.f3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2910, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.f.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 42.2998142704216, 'jinv': '2347339587726987001/206199108000000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 34038
{'Elabel': '4060.d1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 4060, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.f.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 44.8643428097485, 'jinv': '30502575902160633856/8439378838629725', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 34045
{'Elabel': '4060.d2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 4060, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.f.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 44.6166229269177, 'jinv': '23809656960517881856/1087953125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 35981
{'Elabel': '4420.a1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 4420, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.f.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 37.897257684589, 'jinv': '28745501621960704/15593017578125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 35986
{'Elabel': '4420.a2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 4420, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.f.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 37.1273529355413, 'jinv': '13310810713145344/23343125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 39513
{'Elabel': '4930.e1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 4930, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.f.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 53.2902288952791, 'jinv': '139204203138389622201409/13267616000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 39527
{'Elabel': '4930.e3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 4930, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.f.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 40.1396044841742, 'jinv': '270650437376298049/11951837020160', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 41562
{'Elabel': '5330.d1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 5330, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.f.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 57.2485465034682, 'jinv': '7290005289557168759843809/12368698062500000000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 41574
{'Elabel': '5330.d3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 5330, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.f.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 48.3570603705056, 'jinv': '1002777267111226465249/122134451978240000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 49499
{'Elabel': '6630.k1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 6630, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.f.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 47.6752442919182, 'jinv': '507102228823216499929/2648775168000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 49513
{'Elabel': '6630.k3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 6630, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.f.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 35.5500996416893, 'jinv': '2749236527524969/1587903192720', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 55888
{'Elabel': '7910.i1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 7910, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.f.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 72.1087990229174, 'jinv': '20723042244721592139728239971649/1564065453713000000000000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 55900
{'Elabel': '7910.i3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 7910, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.f.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 61.0838292269346, 'jinv': '337574759386874195381767489/148794662190181253120000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 64445
{'Elabel': '9490.b1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 9490, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.f.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 50.5931848341935, 'jinv': '9382984424332776995401/1737647904291553280', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 64451
{'Elabel': '9490.b2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 9490, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.f.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 50.4407105134834, 'jinv': '8056051600393270819801/82115072000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 87103
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