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gps_gl2zhat_fine • Show schema
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{'CPlabel': '16D0', 'Glabel': None, 'RSZBlabel': '16.48.0.33', 'RZBlabel': 'X120f', 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [1, 0, 15, 1], 'canonical_generators': [[0, 3, 5, 6], [0, 3, 9, 2], [0, 7, 9, 14], [0, 11, 13, 6], [0, 15, 1, 14], [0, 15, 3, 12], [0, 15, 5, 10]], 'cm_discriminants': [], 'coarse_class': '16.24.0.e', 'coarse_class_num': 5, 'coarse_index': 24, 'coarse_label': '16.24.0.e.1', 'coarse_level': 16, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 4], [2, 1]], 'cusp_widths': [[1, 2], [2, 3], [16, 1]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 15, 'generators': [[3, 5, 8, 1], [5, 2, 8, 5], [13, 4, 8, 1], [13, 10, 8, 3]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 48, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [16, 2, 2], [16, 4, 1], [16, 16, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [16, 4, 2], [16, 8, 1], [16, 16, 1], [16, 64, 1]], 'label': '16.48.0-16.e.1.15', 'lattice_labels': None, 'lattice_x': None, 'level': 16, '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': 223, 'num_known_degree1_noncusp_points': 223, 'num_known_degree1_points': 224, 'obstructions': None, 'orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 2, 1], [4, 8, 1], [8, 4, 4], [8, 32, 1], [16, 8, 2], [16, 16, 3], [16, 128, 1]], 'parents': ['8.24.0-8.n.1.12', '16.24.0-8.n.1.2'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '16.24.0.a.1', 'psl2level': 16, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 4, 'reductions': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.n.1.12'], 'scalar_label': '8.4.1', 'simple': None, 'sl2label': '16.48.0-16.a.1.3', 'sl2level': 16, 'squarefree': None, 'trace_hash': 0, 'traces': None}
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gps_gl2zhat_fine • Show schema
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{'CPlabel': '16D0', 'Glabel': None, 'RSZBlabel': '16.24.0.1', 'RZBlabel': 'X120', 'SZlabel': '16D0-16a', 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [1, 0, 15, 1], 'canonical_generators': [[0, 1, 11, 6], [0, 1, 13, 4], [0, 1, 15, 2], [0, 3, 5, 6], [0, 3, 9, 2], [0, 5, 3, 10], [0, 9, 7, 2]], 'cm_discriminants': [], 'coarse_class': '16.24.0.e', 'coarse_class_num': 5, 'coarse_index': 24, 'coarse_label': '16.24.0.e.1', 'coarse_level': 16, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 4], [2, 1]], 'cusp_widths': [[1, 2], [2, 3], [16, 1]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[3, 0, 8, 15], [9, 4, 0, 15], [11, 12, 8, 11], [11, 13, 8, 15], [13, 7, 8, 7]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 24, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [16, 2, 2], [16, 4, 1], [16, 16, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [16, 4, 2], [16, 8, 1], [16, 16, 1], [16, 64, 1]], 'label': '16.24.0.e.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.e.1'], 'lattice_x': [5000, 5000, 5000, 5000, 5000], 'level': 16, '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': 223, 'num_known_degree1_noncusp_points': 223, 'num_known_degree1_points': 224, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [16, 8, 2], [16, 16, 1], [16, 32, 1], [16, 128, 1]], 'parents': ['8.12.0.n.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '16.24.0.a.1', 'psl2level': 16, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 4, 'reductions': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1'], 'scalar_label': '8.2.2', 'simple': None, 'sl2label': '16.24.0.a.1', 'sl2level': 16, 'squarefree': None, 'trace_hash': 0, 'traces': []}
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modcurve 16.24.0.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*(16*x^8-128*x^6*y^2+80*x^4*y^4-16*x^2*y^6+y^8)^3', 'y^2*x^40*(2*x-y)^2*(2*x+y)^2*(8*x^2-y^2)'], 'degree': 24, 'domain_label': '16.24.0.e.1', 'domain_model_type': 1, 'dont_display': False, 'factored': True, 'leading_coefficients': ['-1', '1'], 'upload_id': None}
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modcurve_points • Show schema
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id: 2322
{'Elabel': '102.c6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 102, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.e.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 27.8749314691207, 'jinv': '1276229915423/2927177028', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1557
{'Elabel': '42.a6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 42, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.e.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 29.48095321965, 'jinv': '6359387729183/4218578658', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 672
{'Elabel': '21.a6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 21, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.e.1', 'curve_level': 16, '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: 696
{'Elabel': '24.a1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 24, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.e.1', 'curve_level': 16, '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: 415
{'Elabel': '15.a6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 15, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.e.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 16.454390800472, 'jinv': '13997521/225', 'jorig': '13997521/225', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1848166
{'Elabel': None, 'ainvs': None, 'cardinality': 4, 'cm': 0, 'conductor_norm': None, 'coordinates': {'1': ['-1/2:1', '0:1', '1/2:1', '1:0']}, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.e.1', 'curve_level': 16, '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: 1452
{'Elabel': '42.a1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 42, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.e.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 33.2238660985887, 'jinv': '268498407453697/252', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 3720
{'Elabel': '210.c1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 210, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.e.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 40.8010092491335, 'jinv': '524388516989299201/3150', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 3950
{'Elabel': '210.e4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 210, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.e.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 40.474991054895, 'jinv': '378499465220294881/120530818800', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 4051
{'Elabel': '210.e7', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 210, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.e.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 27.6546279910646, 'jinv': '1023887723039/928972800', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 4076
{'Elabel': '210.e8', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 210, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.e.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 33.2263458355123, 'jinv': '226523624554079/269165039062500', 'jorig': '226523624554079/269165039062500', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 7033
{'Elabel': '510.e8', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 510, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.e.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 37.9752544766117, 'jinv': '31077313442863199/420227050781250', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 8736
{'Elabel': '690.k1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 690, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.e.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 46.4491998373222, 'jinv': '148809678420065817601/20700', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 8968
{'Elabel': '714.f3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 714, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.e.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 49.3733295603671, 'jinv': '-2770540998624539614657/209924951154647363208', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 9009
{'Elabel': '714.f6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 714, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.e.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 49.9099480680923, 'jinv': '4738217997934888496063/2928751705237796928', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 10297
{'Elabel': '840.f6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 840, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.e.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 29.7038387767472, 'jinv': '7947184069438/7533176175', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 11334
{'Elabel': '930.o6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 930, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.e.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 23.8955948718365, 'jinv': '23862997439/457113600', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 11512
{'Elabel': '966.g5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 966, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.e.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 26.1219526808196, 'jinv': '221115865823/664731648', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 13740
{'Elabel': '1230.f8', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1230, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.e.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 41.7886571453541, 'jinv': '1407936942337442399/900878906250000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 14444
{'Elabel': '1302.j1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1302, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.e.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 58.0346269421884, 'jinv': '15999935809592383211759617/984312', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 16088
{'Elabel': '1530.b8', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1530, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.e.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 37.9752544766117, 'jinv': '31077313442863199/420227050781250', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 18157
{'Elabel': '1785.e4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1785, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.e.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 36.423658224624, 'jinv': '6585576176607121/187425', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 19419
{'Elabel': '1974.h1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1974, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.e.1', 'curve_level': 16, '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: 22725
{'Elabel': '2310.o2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2310, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.e.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 62.8618306793339, 'jinv': '1997773216431678333214187041/187585177195046990066400', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 23130
{'Elabel': '2370.j1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2370, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.e.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 60.9016170007594, 'jinv': '281343057218179728015052801/2559600', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 25757
{'Elabel': '2730.w5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2730, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.e.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 49.9058646678771, 'jinv': '4718909406724749250561/1098974822400', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 25812
{'Elabel': '2730.x1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2730, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.e.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 50.7462248350972, 'jinv': '10934663514379917006241/12996826171875000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 31212
{'Elabel': '3570.t6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3570, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.e.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 43.6274364108828, 'jinv': '8854313460877886399/1016927675429790600', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 31827
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id: 1236812
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id: 1253189
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