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gps_gl2zhat_fine • Show schema
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{'CPlabel': '8J0', 'Glabel': '32.46', 'RSZBlabel': '8.48.0.126', 'RZBlabel': 'X101c', 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [0, 7, 7, 0], 'canonical_generators': [[1, 0, 0, 3], [1, 0, 2, 5], [1, 4, 2, 1], [7, 0, 2, 7], [7, 0, 6, 7], [7, 4, 2, 3]], 'cm_discriminants': [], 'coarse_class': '8.24.0.e', 'coarse_class_num': 5, 'coarse_index': 24, 'coarse_label': '8.24.0.e.1', 'coarse_level': 8, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 4], [2, 1]], 'cusp_widths': [[2, 2], [4, 3], [8, 1]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 5, 'generators': [[1, 0, 0, 7], [3, 6, 4, 1], [7, 4, 4, 7], [7, 6, 0, 7]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 48, 'isogeny_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2], [8, 2, 2], [8, 4, 2]], 'kummer_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2], [8, 4, 4], [8, 8, 1]], 'label': '8.48.0-8.e.1.5', 'lattice_labels': None, 'lattice_x': None, 'level': 8, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'models': None, 'mults': None, 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 220, 'num_known_degree1_noncusp_points': 220, 'num_known_degree1_points': 221, 'obstructions': None, 'orbits': [[2, 1, 3], [4, 2, 2], [4, 4, 2], [8, 8, 4], [8, 16, 1]], 'parents': ['8.24.0-4.b.1.7', '8.24.0-4.b.1.10'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '8.24.0.a.1', 'psl2level': 8, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 4, 'reductions': ['2.6.0.a.1', '4.12.0.b.1'], 'scalar_label': '8.4.1', 'simple': None, 'sl2label': '8.48.0-8.a.1.3', 'sl2level': 8, 'squarefree': None, 'trace_hash': 0, 'traces': None}
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gps_gl2zhat_fine • Show schema
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{'CPlabel': '8J0', 'Glabel': '64.261', 'RSZBlabel': '8.24.0.18', 'RZBlabel': 'X101', 'SZlabel': '8J0-8b', 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [0, 7, 7, 0], 'canonical_generators': [[1, 0, 0, 3], [1, 0, 2, 1], [1, 0, 2, 5], [1, 4, 2, 1], [7, 0, 2, 7], [7, 4, 2, 3]], 'cm_discriminants': [], 'coarse_class': '8.24.0.e', 'coarse_class_num': 5, 'coarse_index': 24, 'coarse_label': '8.24.0.e.1', 'coarse_level': 8, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 4], [2, 1]], 'cusp_widths': [[2, 2], [4, 3], [8, 1]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 0, 4, 1], [1, 2, 0, 1], [5, 0, 4, 1], [7, 0, 0, 7], [7, 4, 4, 1]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 24, 'isogeny_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2], [8, 2, 2], [8, 4, 2]], 'kummer_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2], [8, 4, 4], [8, 8, 1]], 'label': '8.24.0.e.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', '8.24.0.e.1'], 'lattice_x': [3603, 1660, 5547, 2024, 8502, 5182, 5182, 5182], 'level': 8, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'models': 1, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 220, 'num_known_degree1_noncusp_points': 220, 'num_known_degree1_points': 221, 'obstructions': [], 'orbits': [[2, 1, 3], [4, 2, 2], [4, 4, 2], [8, 8, 4], [8, 16, 1]], 'parents': ['4.12.0.b.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '8.24.0.a.1', 'psl2level': 8, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 4, 'reductions': ['2.6.0.a.1', '4.12.0.b.1'], 'scalar_label': '8.2.2', 'simple': None, 'sl2label': '8.24.0.a.1', 'sl2level': 8, 'squarefree': None, 'trace_hash': 0, 'traces': []}
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modcurve 8.24.0.e.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*(x^8-16*x^6*y^2+320*x^4*y^4-2048*x^2*y^6+4096*y^8)^3', 'y^4*x^32*(x-2*y)^2*(x+2*y)^2*(x^2-8*y^2)^4'], 'degree': 24, 'domain_label': '8.24.0.e.1', 'domain_model_type': 1, 'dont_display': False, 'factored': True, 'leading_coefficients': None, 'upload_id': None}
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modcurve_points • Show schema
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id: 4890
{'Elabel': '306.b2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 306, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.e.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 33.9881975483579, 'jinv': '576615941610337/27060804', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 2265
{'Elabel': '102.c2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 102, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.e.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 33.9881975483579, 'jinv': '576615941610337/27060804', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 299
{'Elabel': '15.a2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 15, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.e.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 26.3298902952831, 'jinv': '272223782641/164025', 'jorig': '272223782641/164025', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 773
{'Elabel': '24.a4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 24, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.e.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 10.4674367946244, 'jinv': '35152/9', 'jorig': '35152/9', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1847970
{'Elabel': None, 'ainvs': None, 'cardinality': 4, 'cm': 0, 'conductor_norm': None, 'coordinates': {'1': ['-2:1', '0:1', '2:1', '1:0']}, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.e.1', 'curve_level': 8, '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: 602
{'Elabel': '21.a2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 21, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.e.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 23.2903391661821, 'jinv': '13027640977/21609', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1491
{'Elabel': '42.a3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 42, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.e.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 25.5473766315018, 'jinv': '124475734657/63011844', 'jorig': '124475734657/63011844', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1522
{'Elabel': '42.a4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 42, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.e.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 24.9067973846201, 'jinv': '65597103937/63504', 'jorig': '65597103937/63504', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 3769
{'Elabel': '210.c5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 210, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.e.1', 'curve_level': 8, '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: 3905
{'Elabel': '210.e2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 210, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.e.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 46.7005943582882, 'jinv': '191342053882402567201/129708022500', 'jorig': '191342053882402567201/129708022500', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 3977
{'Elabel': '210.e5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 210, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.e.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 38.4015198375872, 'jinv': '47595748626367201/1215506250000', 'jorig': '47595748626367201/1215506250000', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 6986
{'Elabel': '510.e4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 510, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.e.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 33.4308416128976, 'jinv': '330240275458561/67652010000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 8755
{'Elabel': '690.k3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 690, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.e.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 38.2086994204576, 'jinv': '39248884582600321/3935264062500', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 8953
{'Elabel': '714.f2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 714, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.e.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 52.6043293714974, 'jinv': '70108386184777836280897/552468975892674624', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 8981
{'Elabel': '714.f4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 714, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.e.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 45.8603353507272, 'jinv': '82582985847542515777/44772582831427584', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 10256
{'Elabel': '840.f3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 840, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.e.1', 'curve_level': 8, '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: 11301
{'Elabel': '930.o2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 930, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.e.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 41.2047263321158, 'jinv': '785209010066844481/3324675600', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 11487
{'Elabel': '966.g3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 966, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.e.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 37.2092695708741, 'jinv': '14447092394873377/1439452851984', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 13675
{'Elabel': '1230.f4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1230, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.e.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 44.4220184019965, 'jinv': '19599160390581221281/185398179210000', 'jorig': '19599160390581221281/185398179210000', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 14480
{'Elabel': '1302.j5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1302, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.e.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 41.4104141309458, 'jinv': '964526913483831937/15013703061504', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 16085
{'Elabel': '1530.b4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1530, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.e.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 33.4308416128976, 'jinv': '330240275458561/67652010000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 18136
{'Elabel': '1785.e2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1785, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.e.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 37.7691133978387, 'jinv': '25288177725059761/14387797265625', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 19437
{'Elabel': '1974.h3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1974, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.e.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 46.4725866988734, 'jinv': '152330884252627401217/4050776146821264', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 22754
{'Elabel': '2310.o4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2310, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.e.1', 'curve_level': 8, '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: 23150
{'Elabel': '2370.j3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2370, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.e.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 52.5908750218849, 'jinv': '69171440576913039628801/670669307893760400', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 25717
{'Elabel': '2730.w3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2730, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.e.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 51.9413733674672, 'jinv': '36128658497509929012481/16775330746084419600', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 25845
{'Elabel': '2730.x4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2730, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.e.1', 'curve_level': 8, '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: 31190
{'Elabel': '3570.t4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3570, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.e.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 40.9097293717711, 'jinv': '584614687782041281/184812061593600', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 34186
{'Elabel': '4074.k2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 4074, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.e.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 54.8962129153262, 'jinv': '693621180776140815191617/30608467730064', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 35452
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