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gps_gl2zhat_fine • Show schema
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{'CPlabel': '8G0', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 7], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 56, 1], [1, 0, 120, 1], [1, 56, 0, 1], [1, 60, 120, 91], [1, 120, 0, 1], [43, 0, 42, 43], [55, 0, 0, 167], [57, 56, 112, 113], [83, 0, 126, 83], [115, 60, 138, 103], [121, 120, 48, 49], [167, 0, 126, 167], [167, 48, 30, 119], [167, 48, 102, 23], [167, 48, 150, 35]], 'cm_discriminants': [], 'coarse_class': '56.24.0.l', 'coarse_class_num': 12, 'coarse_index': 24, 'coarse_label': '56.24.0.l.1', 'coarse_level': 56, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[2, 4], [8, 2]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 17, 'generators': [[25, 128, 42, 65], [41, 148, 58, 105], [89, 32, 82, 35], [95, 124, 72, 49], [155, 8, 8, 111], [157, 140, 60, 97]], 'genus': 0, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 48, 'isogeny_orbits': [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [7, 8, 1], [8, 2, 2], [8, 4, 2], [12, 4, 2], [12, 8, 2], [14, 8, 3], [21, 32, 1], [24, 8, 2], [24, 16, 2], [28, 8, 2], [28, 16, 2], [42, 32, 3], [56, 16, 2], [56, 32, 2], [84, 32, 2], [84, 64, 2], [168, 64, 2], [168, 128, 2]], 'kummer_orbits': [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [7, 24, 1], [8, 4, 2], [8, 8, 2], [12, 8, 2], [12, 16, 2], [14, 24, 3], [21, 192, 1], [24, 32, 2], [24, 64, 2], [28, 48, 2], [28, 96, 2], [42, 192, 3], [56, 192, 2], [56, 384, 2], [84, 384, 2], [84, 768, 2], [168, 1536, 2], [168, 3072, 2]], 'label': '168.48.0-56.l.1.17', 'lattice_labels': None, 'lattice_x': None, 'level': 168, 'level_is_squarefree': False, 'level_radical': 42, 'log_conductor': None, 'models': None, 'mults': None, 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 3, 'num_known_degree1_noncm_points': None, 'num_known_degree1_noncusp_points': None, 'num_known_degree1_points': None, 'obstructions': None, 'orbits': [[2, 1, 3], [3, 8, 1], [4, 2, 2], [4, 4, 2], [6, 8, 3], [7, 48, 1], [8, 8, 2], [8, 16, 2], [12, 16, 2], [12, 32, 2], [14, 48, 3], [21, 384, 1], [24, 64, 2], [24, 128, 2], [28, 96, 2], [28, 192, 2], [42, 384, 3], [56, 384, 2], [56, 768, 2], [84, 768, 2], [84, 1536, 2], [168, 3072, 2], [168, 6144, 2]], 'parents': ['12.24.0-4.b.1.2', '168.24.0-4.b.1.9'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '8.24.0.b.1', 'psl2level': 8, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': None, 'rational_cusps': 2, 'reductions': ['1.1.0.a.1', '1.1.0.a.1', '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', '4.12.0.b.1', '4.12.0.b.1', '4.12.0.b.1', '12.24.0-4.b.1.2', '12.24.0-4.b.1.2', '12.24.0-4.b.1.2', '56.24.0.l.1'], 'scalar_label': '4.2.1', 'simple': None, 'sl2label': '8.24.0.b.1', 'sl2level': 8, 'squarefree': None, 'trace_hash': None, 'traces': None}
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gps_gl2zhat_fine • Show schema
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{'CPlabel': '8G0', 'Glabel': None, 'RSZBlabel': '56.24.0.23', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 7], 'canonical_conjugator': [50, 43, 1, 41], 'canonical_generators': [[1, 0, 8, 1], [1, 0, 42, 1], [1, 4, 8, 35], [1, 8, 0, 1], [1, 8, 10, 33], [1, 8, 18, 21], [1, 8, 26, 49], [3, 4, 26, 47], [9, 8, 48, 49], [29, 0, 42, 29], [43, 0, 42, 43]], 'cm_discriminants': [], 'coarse_class': '56.24.0.l', 'coarse_class_num': 12, 'coarse_index': 24, 'coarse_label': '56.24.0.l.1', 'coarse_level': 56, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[2, 4], [8, 2]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[5, 36, 40, 5], [7, 52, 4, 47], [31, 14, 6, 11], [39, 8, 48, 27], [41, 30, 26, 17], [55, 46, 20, 17]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 24, 'isogeny_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2], [7, 8, 1], [8, 2, 2], [8, 4, 2], [14, 8, 3], [28, 8, 2], [28, 16, 2], [56, 16, 2], [56, 32, 2]], 'kummer_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2], [7, 24, 1], [8, 4, 2], [8, 8, 2], [14, 24, 3], [28, 48, 2], [28, 96, 2], [56, 192, 2], [56, 384, 2]], 'label': '56.24.0.l.1', 'lattice_labels': ['1.1.0.a.1', '2.2.0.a.1', '2.3.0.a.1', '2.6.0.a.1', '4.6.0.c.1', '4.6.0.d.1', '4.12.0.b.1', '56.12.0.y.1', '56.12.0.bb.1', '56.24.0.l.1'], 'lattice_x': [2880, 1327, 4434, 1618, 6796, 4142, 3560, 9126, 6796, 6796], 'level': 56, 'level_is_squarefree': False, 'level_radical': 14, 'log_conductor': None, 'models': 1, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 25, 'num_known_degree1_noncusp_points': 25, 'num_known_degree1_points': 26, 'obstructions': [], 'orbits': [[2, 1, 3], [4, 2, 2], [4, 4, 2], [7, 48, 1], [8, 8, 2], [8, 16, 2], [14, 48, 3], [28, 96, 2], [28, 192, 2], [56, 384, 2], [56, 768, 2]], 'parents': ['4.12.0.b.1', '56.12.0.y.1', '56.12.0.bb.1'], 'parents_conj': [[41, 27, 45, 14], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '8.24.0.b.1', 'psl2level': 8, '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.b.1', '4.12.0.b.1', '4.12.0.b.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.l.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': ['(7*x+6*y)^24*(2401*x^8-254016*x^4*y^4+26873856*y^8)^3', 'y^8*x^8*(7*x+6*y)^24*(7*x^2-72*y^2)^2*(7*x^2+72*y^2)^2'], 'degree': 24, 'domain_label': '56.24.0.l.1', 'domain_model_type': 1, 'dont_display': False, 'factored': True, 'leading_coefficients': ['1', '2^4*3^8*7^4'], 'upload_id': None}
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modcurve_points • Show schema
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id: 1848646
{'Elabel': None, 'ainvs': None, 'cardinality': 2, 'cm': 0, 'conductor_norm': None, 'coordinates': {'1': ['-6/7:1', '0:1']}, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.l.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: 3768
{'Elabel': '210.c5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 210, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.l.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 24.3599814831753, 'jinv': '37966934881/8643600', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 10271
{'Elabel': '840.f3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 840, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.l.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 25.8897271939231, 'jinv': '175293437776/4862025', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 22753
{'Elabel': '2310.o4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2310, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.l.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 58.2154044692601, 'jinv': '19170300594578891358373921/671785075055001600', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 25844
{'Elabel': '2730.x4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2730, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.l.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 41.4489337120049, 'jinv': '1002404925316922401/9348917760000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 48699
{'Elabel': '6510.r4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 6510, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.l.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 47.7826647875355, 'jinv': '564608806599700366561/94616222006250000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 63514
{'Elabel': '9240.bi4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 9240, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.l.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 37.0449042627367, 'jinv': '12257375872392016/1191317675625', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 71410
{'Elabel': '10920.j4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 10920, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.l.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 34.4260098675314, 'jinv': '893359210685776/91298025', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 108677
{'Elabel': '19320.ba5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 19320, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.l.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 33.6081721727307, 'jinv': '394315384276816/208332909225', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 145330
{'Elabel': '28770.bu4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 28770, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.l.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 51.87228325226, 'jinv': '33716802357621132744961/19398733193840490000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 200261
{'Elabel': '43890.ca4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 43890, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.l.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 48.3032638087579, 'jinv': '950256677426167298881/377561091600', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 210449
{'Elabel': '46830.w4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 46830, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.l.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 64.9396928333155, 'jinv': '15956963586932720375250662401/24758644861440000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 227005
{'Elabel': '51870.cn5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 51870, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.l.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 74.0073186714221, 'jinv': '138347118942128701040731557356641/77575038080662884231571046400', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 270109
{'Elabel': '65310.v3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 65310, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.l.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 70.0267687555382, 'jinv': '2583683168819502832811676309601/771116048275922496000000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 355801
{'Elabel': '94290.bh4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 94290, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.l.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 64.9667168113281, 'jinv': '16394063711437339232780764801/5081300304897600000000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 390974
{'Elabel': '106680.ba4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 106680, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.l.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 60.8077826471346, 'jinv': '256144161099710201725512016/3969992312015625', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 426713
{'Elabel': '120120.bo3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 120120, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.l.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 40.6719091035335, 'jinv': '460877697079974736/172610328515625', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 436763
{'Elabel': '123690.bw3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 123690, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.l.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 49.0801312891156, 'jinv': '2066475163445667959041/559619377467494400', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 449126
{'Elabel': '128310.cf4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 128310, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.l.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 48.2277685460238, 'jinv': '881157930051334309921/2352364461392400', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 540302
{'Elabel': '164010.bv3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 164010, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.l.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 49.6696402685833, 'jinv': '3726067230795288697921/3843476737808400', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 586685
{'Elabel': '182910.bm3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 182910, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.l.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 70.0511338371302, 'jinv': '2647407997837423918237195954081/3061965618143140035600', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 644856
{'Elabel': '207480.cv3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 207480, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.l.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 72.8171036427669, 'jinv': '42079086222357123909057479227216/1250050746233253986555625', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 665228
{'Elabel': '215670.db4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 215670, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.l.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 51.291772656634, 'jinv': '18868346010915843143521/6646041921027600', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 872548
{'Elabel': '308490.bx3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 308490, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '56.24.0.l.1', 'curve_level': 56, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 61.2502135558827, 'jinv': '398684877451591499142060961/20257268493733779690000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 935542
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id: 1173698
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