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gps_gl2zhat_fine • Show schema
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{'CPlabel': '8G0', 'Glabel': None, 'RSZBlabel': '56.48.0.565', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 7], 'canonical_conjugator': [12, 47, 53, 9], 'canonical_generators': [[1, 0, 8, 1], [1, 0, 42, 1], [1, 8, 0, 1], [9, 8, 48, 49], [13, 0, 14, 13], [29, 0, 42, 29], [55, 48, 51, 21], [55, 52, 43, 23], [55, 52, 53, 7], [55, 52, 55, 49]], 'cm_discriminants': [], 'coarse_class': '56.24.0.v', 'coarse_class_num': 22, 'coarse_index': 24, 'coarse_label': '56.24.0.v.1', 'coarse_level': 56, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[2, 3]], 'cusp_widths': [[2, 4], [8, 2]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 8, 'generators': [[6, 11, 9, 28], [11, 24, 18, 13], [29, 2, 20, 27]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': 0, 'index': 48, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [7, 8, 1], [8, 2, 2], [8, 8, 1], [14, 8, 1], [14, 16, 1], [28, 8, 2], [28, 32, 1], [56, 16, 2], [56, 64, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [7, 24, 1], [8, 4, 2], [8, 16, 1], [14, 24, 1], [14, 48, 1], [28, 48, 2], [28, 192, 1], [56, 192, 2], [56, 768, 1]], 'label': '56.48.0-56.v.1.8', 'lattice_labels': None, 'lattice_x': None, 'level': 56, 'level_is_squarefree': False, 'level_radical': 14, 'log_conductor': None, 'models': None, 'mults': None, 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 26, 'num_known_degree1_noncusp_points': 26, 'num_known_degree1_points': 27, 'obstructions': None, 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 4, 2], [7, 48, 1], [8, 8, 2], [8, 16, 2], [14, 48, 1], [14, 96, 1], [28, 96, 2], [28, 192, 2], [56, 384, 2], [56, 768, 2]], 'parents': ['8.24.0-8.k.1.1', '56.24.0-8.k.1.3', '56.24.0-56.y.1.6', '56.24.0-56.y.1.7', '56.24.0-56.z.1.12', '56.24.0-56.z.1.14'], 'parents_conj': None, 'pointless': None, 'power': None, 'psl2index': 24, 'psl2label': '8.24.0.b.1', 'psl2level': 8, 'q_gonality': None, 'q_gonality_bounds': [1, 2], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 0, 'reductions': ['1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '4.12.0-4.c.1.2', '4.12.0-4.c.1.2', '8.24.0-8.k.1.1'], 'scalar_label': '4.2.1', 'simple': None, 'sl2label': '8.48.0-8.b.1.2', 'sl2level': 8, 'squarefree': None, 'trace_hash': 0, 'traces': None}
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gps_gl2zhat_fine • Show schema
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{'CPlabel': '8G0', 'Glabel': None, 'RSZBlabel': '56.24.0.246', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 7], 'canonical_conjugator': [2, 51, 3, 33], 'canonical_generators': [[1, 0, 8, 1], [1, 0, 42, 1], [1, 4, 1, 7], [1, 4, 3, 49], [1, 4, 13, 33], [1, 8, 0, 1], [1, 8, 5, 35], [9, 8, 48, 49], [29, 0, 42, 29], [43, 0, 42, 43]], 'cm_discriminants': [], 'coarse_class': '56.24.0.v', 'coarse_class_num': 22, 'coarse_index': 24, 'coarse_label': '56.24.0.v.1', 'coarse_level': 56, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 3]], 'cusp_widths': [[2, 4], [8, 2]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[4, 9, 51, 2], [5, 44, 26, 3], [9, 32, 10, 15], [36, 43, 55, 12]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': 0, 'index': 24, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [7, 8, 1], [8, 2, 2], [8, 8, 1], [14, 8, 1], [14, 16, 1], [28, 8, 2], [28, 32, 1], [56, 16, 2], [56, 64, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [7, 24, 1], [8, 4, 2], [8, 16, 1], [14, 24, 1], [14, 48, 1], [28, 48, 2], [28, 192, 1], [56, 192, 2], [56, 768, 1]], 'label': '56.24.0.v.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '4.6.0.c.1', '8.2.0.b.1', '8.6.0.b.1', '8.6.0.f.1', '8.12.0.k.1', '56.12.0.y.1', '56.12.0.z.1', '56.24.0.v.1'], 'lattice_x': [2473, 3964, 6764, 982, 1164, 3782, 3782, 6400, 9018, 6400], 'level': 56, 'level_is_squarefree': False, 'level_radical': 14, 'log_conductor': None, 'models': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 26, 'num_known_degree1_noncusp_points': 26, 'num_known_degree1_points': 27, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [7, 48, 1], [8, 8, 2], [8, 32, 1], [14, 48, 1], [14, 96, 1], [28, 96, 2], [28, 384, 1], [56, 384, 2], [56, 1536, 1]], 'parents': ['8.12.0.k.1', '56.12.0.y.1', '56.12.0.z.1'], 'parents_conj': [[49, 13, 11, 32], [1, 0, 0, 1], [3, 48, 16, 49]], 'pointless': None, 'power': None, 'psl2index': 24, 'psl2label': '8.24.0.b.1', 'psl2level': 8, 'q_gonality': None, 'q_gonality_bounds': [1, 2], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 0, '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.k.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '8.24.0.b.1', 'sl2level': 8, 'squarefree': None, 'trace_hash': 0, 'traces': []}
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modcurve 56.24.0.v.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-2*y)^24*(177*x^8+4608*x^7*y+52192*x^6*y^2+258048*x^5*y^3+993664*x^4*y^4+2064384*x^3*y^5+3340288*x^2*y^6+2359296*x*y^7+724992*y^8)^3', '(x-2*y)^24*(x^2-8*y^2)^8*(x^2+2*x*y+8*y^2)^2*(x^2+16*x*y+8*y^2)^2'], 'degree': 24, 'domain_label': '56.24.0.v.1', 'domain_model_type': 1, 'dont_display': False, 'factored': True, 'leading_coefficients': ['2', '7^4'], 'upload_id': None}
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modcurve_points • Show schema
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id: 1714
{'Elabel': '56.a2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 56, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.v.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 16.2215963782814, 'jinv': '11090466/2401', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1848650
{'Elabel': None, 'ainvs': None, 'cardinality': 0, 'cm': 0, 'conductor_norm': None, 'coordinates': {'1': ['2:1']}, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.v.1', 'curve_level': 56, '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: 1931
{'Elabel': '70.a1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 70, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.v.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 28.3830637988504, 'jinv': '2121328796049/120050', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 2911
{'Elabel': '154.c1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 154, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.v.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 37.2618217378162, 'jinv': '15226621995131793/2324168', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 3277
{'Elabel': '182.c2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 182, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.v.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 42.6671180693407, 'jinv': '3389174547561866673/74853681183008', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 13340
{'Elabel': '1190.f2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1190, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.v.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 46.2214097288321, 'jinv': '118495863754334673489/53596139570691200', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 24345
{'Elabel': '2534.f1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2534, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.v.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 70.7003714880702, 'jinv': '5067353545816442304057365351313/161093961728', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 27943
{'Elabel': '3080.c1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3080, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.v.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 48.9861062312644, 'jinv': '1881029584733429900898/1046747344575625', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 30862
{'Elabel': '3542.p2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3542, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.v.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 58.70660920502, 'jinv': '31329713901973986300131793/10214846346887693144018', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 107617
{'Elabel': '19096.f1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 19096, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.v.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 50.2405427124022, 'jinv': '6594630514646320865826/279190681', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 117413
{'Elabel': '21574.b1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 21574, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.v.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 60.6477744895368, 'jinv': '218269875395958906479209713/432149897746589700608', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 172724
{'Elabel': '36190.o2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 36190, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.v.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 57.9539722565849, 'jinv': '14760135874624331439837009/1383535762452293496200', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 207262
{'Elabel': '46046.n2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 46046, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.v.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 51.003369371869, 'jinv': '14141057125065670226673/7689833185129633538', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 221727
{'Elabel': '50344.g2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 50344, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.v.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 53.5835825390376, 'jinv': '186661270416961711730466/1722192551333402281', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 272681
{'Elabel': '66178.e1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 66178, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.v.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 69.4812809106542, 'jinv': '1497396780620992648095068695473/618554086520146658', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 280256
{'Elabel': '68530.j1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 68530, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.v.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 77.4264968179226, 'jinv': '4225716148797271727678895573102129/5855547988077436283909120000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 320949
{'Elabel': '82390.i1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 82390, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.v.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 85.1833177945732, 'jinv': '9877450647038296655937919771785776049/116007156169088480450', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 324705
{'Elabel': '83720.e1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 83720, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.v.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 59.108527401104, 'jinv': '46828180504937434789374498/5366295025', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 406735
{'Elabel': '112574.n2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 112574, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.v.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 55.7748577013002, 'jinv': '1669986377889722116964433/7494381693756982178', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 659623
{'Elabel': '213416.d1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 213416, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.v.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 64.7233092263748, 'jinv': '12852157750040153621244855906/201026993588194921', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 970981
{'Elabel': '355502.d1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 355502, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.v.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 79.5683468224041, 'jinv': '35982717494933615733728554451095953/3096350964098', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1025183
{'Elabel': '382130.e2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 382130, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.v.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 72.1650171285471, 'jinv': '21921422142210358517965369045809/2669879855575428285432781250', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1027514
{'Elabel': '383194.b2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 383194, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.v.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 79.7423764441295, 'jinv': '42822701691710525104366162268468433/23347434709215016201506650882048', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1031430
{'Elabel': '385154.j2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 385154, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.v.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 62.3461770030613, 'jinv': '1192890665494221178582007793/69055462951386306036488', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1043266
{'Elabel': '391090.j2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 391090, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.v.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 74.8843699875346, 'jinv': '332558969986410162167238720900849/111050674201462289577471125000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1159279
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id: 1162177
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