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gps_gl2zhat_fine • Show schema
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{'CPlabel': '16D0', 'Glabel': None, 'RSZBlabel': '16.48.0.31', 'RZBlabel': 'X119d', 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [15, 6, 1, 11], 'canonical_generators': [[0, 1, 11, 6], [0, 1, 15, 2], [0, 5, 3, 10], [0, 9, 7, 2], [0, 13, 1, 12], [0, 13, 7, 14], [0, 13, 11, 10]], 'cm_discriminants': [], 'coarse_class': '16.24.0.f', 'coarse_class_num': 6, 'coarse_index': 24, 'coarse_label': '16.24.0.f.1', 'coarse_level': 16, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[1, 2], [2, 3], [16, 1]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 4, 'generators': [[1, 12, 0, 7], [9, 6, 0, 3], [9, 13, 8, 7], [13, 3, 0, 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, 8, 2], [16, 16, 1], [16, 64, 1]], 'label': '16.48.0-16.f.1.4', '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': 88, 'num_known_degree1_noncusp_points': 88, 'num_known_degree1_points': 89, 'obstructions': None, 'orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 2, 1], [4, 8, 1], [8, 2, 4], [8, 8, 1], [8, 32, 1], [16, 8, 4], [16, 32, 1], [16, 128, 1]], 'parents': ['8.24.0-8.n.1.2', '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': 2, 'reductions': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.n.1.2'], 'scalar_label': '8.4.1', 'simple': None, 'sl2label': '16.48.0-16.a.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': '16D0', 'Glabel': None, 'RSZBlabel': '16.24.0.7', 'RZBlabel': 'X119', 'SZlabel': '16D0-16b', 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [13, 0, 3, 1], 'canonical_generators': [[0, 1, 11, 6], [0, 1, 15, 2], [0, 3, 5, 6], [0, 3, 9, 2], [0, 3, 15, 4], [0, 5, 3, 10], [0, 9, 7, 2]], 'cm_discriminants': [], 'coarse_class': '16.24.0.f', 'coarse_class_num': 6, 'coarse_index': 24, 'coarse_label': '16.24.0.f.1', 'coarse_level': 16, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], '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, 5], [3, 5, 0, 5], [9, 14, 0, 15], [15, 1, 8, 5], [15, 9, 8, 1]], '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, 8, 2], [16, 16, 1], [16, 64, 1]], 'label': '16.24.0.f.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.f.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': 88, 'num_known_degree1_noncusp_points': 88, 'num_known_degree1_points': 89, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [16, 16, 2], [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': 2, '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.f.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*(4*x^2+y^2)^2*(8*x^2+y^2)'], 'degree': 24, 'domain_label': '16.24.0.f.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: 2252
{'Elabel': '102.c1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 102, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.f.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 42.305929924203, 'jinv': '2361739090258884097/5202', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 2478
{'Elabel': '120.b1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 120, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.f.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 28.2020147966528, 'jinv': '1770025017602/75', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 416
{'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.f.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: 1848168
{'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': '16.24.0.f.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: 715
{'Elabel': '24.a2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 24, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.f.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 17.1743649278345, 'jinv': '28756228/3', 'jorig': '28756228/3', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 6962
{'Elabel': '510.e1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 510, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.f.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 46.5314848748851, 'jinv': '161572377633716256481/914742821250', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 8358
{'Elabel': '663.a4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 663, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.f.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 30.4828656986829, 'jinv': '17319700013617/25857', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 12674
{'Elabel': '1122.e5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1122, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.f.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 28.5607458095584, 'jinv': '2533811507137/625016832', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 13732
{'Elabel': '1230.f7', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1230, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.f.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 37.0984585612893, 'jinv': '12931706531187361/15114240000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 14697
{'Elabel': '1320.f1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1320, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.f.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 37.3049495755414, 'jinv': '15897679904620804/2475', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 16276
{'Elabel': '1560.d1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1560, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.f.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 48.7967782394996, 'jinv': '1556580279686303289604/114075', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 22194
{'Elabel': '2280.h4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2280, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.f.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 32.9391501061199, 'jinv': '201971983086724/20447192475', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 25758
{'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.f.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: 30230
{'Elabel': '3432.a1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3432, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.f.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 37.9142184492132, 'jinv': '29237205357427394/80023854339', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 30513
{'Elabel': '3480.r1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3480, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.f.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 45.7188278447923, 'jinv': '71686050207365805122/3464813232421875', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 35395
{'Elabel': '4290.bc1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 4290, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.f.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 58.4097032727578, 'jinv': '23281546263261052473907201/1115400', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 37811
{'Elabel': '4746.h1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 4746, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.f.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 64.4296848223481, 'jinv': '9582009323749676066323377217/274979636207216389512', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 38104
{'Elabel': '4785.a4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 4785, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.f.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 40.3499943198353, 'jinv': '334025696259022321/693825', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 51667
{'Elabel': '7095.b4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 7095, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.f.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 57.9366914704986, 'jinv': '14507260360694257864644721/243890625', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 56884
{'Elabel': '8103.b6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 8103, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.f.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 36.6910223333929, 'jinv': '8604161129276497/4301960156577', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 63185
{'Elabel': '9240.o4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 9240, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.f.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 49.6568643147233, 'jinv': '3678765970528905177604/2056287578994061875', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 83037
{'Elabel': '13530.w1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 13530, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.f.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 51.5269078457456, 'jinv': '23869963061678833898401/16929016113281250', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 86167
{'Elabel': '14280.r1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 14280, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.f.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 56.647136382925, 'jinv': '3995202039648020399520004/1561875', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 88656
{'Elabel': '14790.bd6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 14790, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.f.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 51.9315128315396, 'jinv': '35774161201356055381441/17141698547431833600', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 94491
{'Elabel': '16104.b4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 16104, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.f.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 59.6527444868516, 'jinv': '80697069006518105560750468/41547883591831538692683', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 97415
{'Elabel': '16770.z6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 16770, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.f.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 42.8445203799669, 'jinv': '4047051964543660801/2340864550502400', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 97853
{'Elabel': '16872.c1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 16872, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.f.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 52.33973621781, 'jinv': '53809458751271244978434/234099', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 102947
{'Elabel': '17958.i1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 17958, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '16.24.0.f.1', 'curve_level': 16, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 59.7573737929105, 'jinv': '89597871225387397507059937/75241880196552', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 109914
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