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gps_gl2zhat_fine • Show schema
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{'CPlabel': '16C0', 'Glabel': None, 'RSZBlabel': '48.48.0.193', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [17, 0, 31, 47], 'canonical_generators': [[0, 41, 23, 42], [0, 47, 19, 44], [0, 47, 37, 10], [0, 47, 37, 26], [1, 0, 16, 1], [1, 16, 0, 1], [16, 21, 3, 34], [16, 33, 15, 34], [17, 16, 32, 33], [32, 45, 27, 2]], 'cm_discriminants': [], 'coarse_class': '48.24.0.g', 'coarse_class_num': 7, 'coarse_index': 24, 'coarse_label': '48.24.0.g.1', 'coarse_level': 48, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[1, 4], [4, 1], [16, 1]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 31, 'generators': [[5, 12, 0, 29], [9, 7, 32, 27], [19, 46, 4, 41], [37, 43, 20, 37], [41, 4, 12, 47]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 48, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [12, 4, 2], [12, 16, 1], [16, 2, 2], [16, 4, 1], [16, 16, 1], [24, 4, 2], [24, 8, 1], [24, 32, 1], [48, 8, 2], [48, 16, 1], [48, 64, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [12, 8, 2], [12, 32, 1], [16, 8, 2], [16, 16, 1], [16, 64, 1], [24, 16, 2], [24, 32, 1], [24, 128, 1], [48, 64, 2], [48, 128, 1], [48, 512, 1]], 'label': '48.48.0-48.g.1.31', 'lattice_labels': None, 'lattice_x': None, 'level': 48, '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': 108, 'num_known_degree1_noncusp_points': 108, 'num_known_degree1_points': 109, 'obstructions': None, 'orbits': [[2, 1, 1], [2, 2, 1], [3, 8, 1], [4, 2, 2], [4, 8, 1], [6, 8, 1], [6, 16, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [12, 16, 2], [12, 64, 1], [16, 16, 2], [16, 32, 1], [16, 128, 1], [24, 32, 2], [24, 64, 1], [24, 256, 1], [48, 128, 2], [48, 256, 1], [48, 1024, 1]], 'parents': ['8.24.0-8.n.1.11', '48.24.0-8.n.1.1'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '16.24.0.b.1', 'psl2level': 16, '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', '2.3.0.a.1', '2.3.0.a.1', '4.6.0.c.1', '4.6.0.c.1', '8.24.0-8.n.1.11', '8.24.0-8.n.1.11', '8.24.0-8.n.1.11'], 'scalar_label': '4.2.1', 'simple': None, 'sl2label': '16.48.0-16.b.1.2', 'sl2level': 16, 'squarefree': None, 'trace_hash': 0, 'traces': None}
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gps_gl2zhat_fine • Show schema
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{'CPlabel': '16C0', 'Glabel': None, 'RSZBlabel': '48.24.0.2', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [17, 0, 31, 47], 'canonical_generators': [[0, 1, 11, 22], [0, 1, 11, 38], [0, 1, 29, 4], [0, 7, 25, 6], [1, 0, 16, 1], [1, 16, 0, 1], [16, 3, 21, 46], [16, 21, 3, 34], [16, 33, 15, 34], [17, 16, 32, 33]], 'cm_discriminants': [], 'coarse_class': '48.24.0.g', 'coarse_class_num': 7, 'coarse_index': 24, 'coarse_label': '48.24.0.g.1', 'coarse_level': 48, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[1, 4], [4, 1], [16, 1]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[13, 0, 4, 7], [19, 10, 4, 17], [19, 27, 4, 35], [19, 33, 16, 1], [41, 23, 12, 41], [47, 10, 36, 5]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 24, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [12, 4, 2], [12, 16, 1], [16, 2, 2], [16, 4, 1], [16, 16, 1], [24, 4, 2], [24, 8, 1], [24, 32, 1], [48, 8, 2], [48, 16, 1], [48, 64, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [12, 8, 2], [12, 32, 1], [16, 8, 2], [16, 16, 1], [16, 64, 1], [24, 16, 2], [24, 32, 1], [24, 128, 1], [48, 64, 2], [48, 128, 1], [48, 512, 1]], 'label': '48.24.0.g.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '48.24.0.g.1'], 'lattice_x': [5000, 5000, 5000, 5000, 5000], 'level': 48, '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': 108, 'num_known_degree1_noncusp_points': 108, 'num_known_degree1_points': 109, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 8, 1], [4, 2, 2], [4, 8, 1], [6, 8, 1], [6, 16, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [12, 16, 2], [12, 64, 1], [16, 16, 2], [16, 32, 1], [16, 128, 1], [24, 32, 2], [24, 64, 1], [24, 256, 1], [48, 128, 2], [48, 256, 1], [48, 1024, 1]], 'parents': ['8.12.0.n.1'], 'parents_conj': [[29, 12, 18, 47]], 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '16.24.0.b.1', 'psl2level': 16, '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', '2.3.0.a.1', '2.3.0.a.1', '4.6.0.c.1', '4.6.0.c.1', '8.12.0.n.1', '8.12.0.n.1', '8.12.0.n.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '16.24.0.b.1', 'sl2level': 16, 'squarefree': None, 'trace_hash': 0, 'traces': []}
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modcurve 48.24.0.g.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*(81*x^8-144*x^4*y^4+16*y^8)^3', 'y^4*x^40*(3*x^2-y^2)*(3*x^2+y^2)'], 'degree': 24, 'domain_label': '48.24.0.g.1', 'domain_model_type': 1, 'dont_display': False, 'factored': True, 'leading_coefficients': ['-2^4', '3^8'], 'upload_id': None}
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modcurve_points • Show schema
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id: 533027
{'Elabel': '161070.bw4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 161070, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.g.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 51.670526383893, 'jinv': '27556527241903615497361/1979228160000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 622
{'Elabel': '21.a3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 21, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.g.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 22.6058901073323, 'jinv': '6570725617/45927', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 670
{'Elabel': '21.a6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 21, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.g.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 11.5504428051302, 'jinv': '103823/63', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 690
{'Elabel': '24.a1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 24, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.g.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 21.8435147413671, 'jinv': '3065617154/9', 'jorig': '3065617154/9', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1848549
{'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': '48.24.0.g.1', 'curve_level': 48, '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: 826
{'Elabel': '24.a6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 24, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.g.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 12.2435899856901, 'jinv': '207646/6561', 'jorig': '207646/6561', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 6097
{'Elabel': '429.b1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 429, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.g.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 38.1157490616911, 'jinv': '35765103905346817/1287', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 6132
{'Elabel': '429.b5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 429, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.g.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 21.1503675608072, 'jinv': '-1532808577/938223', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 15811
{'Elabel': '1482.k2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1482, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.g.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 41.4817036873582, 'jinv': '1035797864656694257/25929072', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 15837
{'Elabel': '1482.k5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1482, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.g.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 22.6058901073323, 'jinv': '-6570725617/145686528', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 16286
{'Elabel': '1560.d2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1560, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.g.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 43.5565836900328, 'jinv': '8248670337458940482/1446075439453125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 16334
{'Elabel': '1560.d6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1560, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.g.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 40.1111567263761, 'jinv': '263059523447441758/2294739983908125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 19417
{'Elabel': '1974.h1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1974, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.g.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 54.7708759669654, 'jinv': '611912326006384490336257/331632', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 19464
{'Elabel': '1974.h5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1974, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.g.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 38.1157490616911, 'jinv': '-35765103905346817/990247845888', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 20964
{'Elabel': '2139.b4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2139, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.g.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 39.4835578031426, 'jinv': '140440148435570257/519777', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 20968
{'Elabel': '2139.b5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2139, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.g.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 38.2877336593218, 'jinv': '-42476766863084497/201372259510953', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 21308
{'Elabel': '2184.c1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2184, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.g.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 48.5568380411943, 'jinv': '1224522642327678150914/66339', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 21322
{'Elabel': '2184.c3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2184, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.g.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 40.1767049837026, 'jinv': '-280880296871140514/25701087819771', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 26603
{'Elabel': '2838.e4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2838, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.g.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 38.2877336593218, 'jinv': '42476766863084497/22597926912', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 26616
{'Elabel': '2838.e6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2838, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.g.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 42.4687076407141, 'jinv': '2779235713829366063/2137426732088208', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 34225
{'Elabel': '4074.k5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 4074, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.g.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 43.796856536078, 'jinv': '-10488976643180782657/464197574196186768', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 34232
{'Elabel': '4074.k6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 4074, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.g.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 39.7320062445594, 'jinv': '180049146484689217/100141447053312', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 52443
{'Elabel': '7215.d4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 7215, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.g.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 37.8537620181977, 'jinv': '27521998305852961/1972400625', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 52447
{'Elabel': '7215.d5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 7215, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.g.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 40.4509985885753, 'jinv': '369526402928872799/660552978515625', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 63230
{'Elabel': '9240.r1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 9240, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.g.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 47.5939486348816, 'jinv': '467508233804095622882/315748125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 63245
{'Elabel': '9240.r3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 9240, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '48.24.0.g.1', 'curve_level': 48, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 38.5469091987576, 'jinv': '-55043996611705922/105743408203125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 89666
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id: 1179718
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id: 1216062
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id: 1216066
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id: 1224407
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id: 1224420
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