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gps_gl2zhat_fine • Show schema
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{'CPlabel': '8I0', 'Glabel': '32.43', 'RSZBlabel': '8.48.0.184', 'RZBlabel': 'X86n', 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [5, 0, 3, 1], 'canonical_generators': [[0, 1, 5, 4], [0, 3, 1, 2], [0, 7, 1, 6]], 'cm_discriminants': [], 'coarse_class': '8.24.0.ba', 'coarse_class_num': 27, 'coarse_index': 24, 'coarse_label': '8.24.0.ba.2', 'coarse_level': 8, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[1, 2], [2, 1], [4, 1], [8, 2]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 3, 'generators': [[1, 7, 0, 7], [3, 0, 0, 5], [5, 5, 0, 7]], '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]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1]], 'label': '8.48.0-8.ba.2.3', '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': 131, 'num_known_degree1_noncusp_points': 131, 'num_known_degree1_points': 132, 'obstructions': None, 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 4, 2], [8, 4, 2], [8, 8, 1], [8, 16, 2]], 'parents': ['8.24.0-8.n.1.3', '8.24.0-8.n.1.10'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '8.24.0.c.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': ['2.3.0.a.1', '4.12.0-4.c.1.2'], 'scalar_label': '8.4.1', 'simple': None, 'sl2label': '8.48.0-8.c.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': '8I0', 'Glabel': '64.254', 'RSZBlabel': '8.24.0.91', 'RZBlabel': 'X86', 'SZlabel': '8I0-8b', 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [5, 0, 3, 1], 'canonical_generators': [[0, 1, 5, 4], [0, 1, 7, 2], [0, 3, 1, 2], [0, 5, 7, 6], [0, 7, 1, 6]], 'cm_discriminants': [], 'coarse_class': '8.24.0.ba', 'coarse_class_num': 27, 'coarse_index': 24, 'coarse_label': '8.24.0.ba.2', 'coarse_level': 8, 'coarse_num': 2, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[1, 2], [2, 1], [4, 1], [8, 2]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[3, 0, 0, 5], [5, 3, 0, 5], [7, 2, 0, 5], [7, 7, 0, 3]], '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]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1]], 'label': '8.24.0.ba.2', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '8.24.0.ba.2'], 'lattice_x': [5000, 5000, 5000, 5000, 5000], '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': 131, 'num_known_degree1_noncusp_points': 131, 'num_known_degree1_points': 132, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1]], 'parents': ['8.12.0.n.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '8.24.0.c.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': ['2.3.0.a.1', '4.6.0.c.1'], 'scalar_label': '8.2.2', 'simple': None, 'sl2label': '8.24.0.c.1', 'sl2level': 8, 'squarefree': None, 'trace_hash': 0, 'traces': []}
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modcurve 8.24.0.ba.2 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': ['(6*x-y)^24*(78941952*x^8-342641664*x^7*y+528705792*x^6*y^2-425440512*x^5*y^3+202292640*x^4*y^4-58888512*x^3*y^5+10248336*x^2*y^6-966192*x*y^7+37199*y^8)^3', '(2*x-y)^4*(6*x-y)^26*(36*x^2-24*x*y+5*y^2)*(108*x^2-60*x*y+11*y^2)^8'], 'degree': 24, 'domain_label': '8.24.0.ba.2', 'domain_model_type': 1, 'dont_display': False, 'factored': True, 'leading_coefficients': ['2', '3^4'], 'upload_id': None}
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modcurve_points • Show schema
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id: 2321
{'Elabel': '102.c6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 102, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.ba.2', 'curve_level': 8, '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: 2554
{'Elabel': '120.b6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 120, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.ba.2', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 17.8156850169144, 'jinv': '54607676/32805', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 324
{'Elabel': '15.a3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 15, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.ba.2', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 25.7156122581208, 'jinv': '-147281603041/215233605', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1848075
{'Elabel': None, 'ainvs': None, 'cardinality': 2, 'cm': 0, 'conductor_norm': None, 'coordinates': {'1': ['1/6:1', '1/2:1']}, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.ba.2', '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: 825
{'Elabel': '24.a6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 24, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.ba.2', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 12.2435899856901, 'jinv': '207646/6561', 'jorig': '207646/6561', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 7017
{'Elabel': '510.e7', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 510, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.ba.2', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 35.6920931926568, 'jinv': '3168685387909439/6278181696900', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 8374
{'Elabel': '663.a6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 663, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.ba.2', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 36.4012638268413, 'jinv': '6439735268725823/7345472585373', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 12659
{'Elabel': '1122.e3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1122, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.ba.2', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 41.9137276748207, 'jinv': '-1595514095015181697/95635786040388', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 13703
{'Elabel': '1230.f5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1230, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.ba.2', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 40.5921170272843, 'jinv': '-425532204913949281/64677894355880100', 'jorig': '-425532204913949281/64677894355880100', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 14762
{'Elabel': '1320.f6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1320, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.ba.2', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 32.2652586550984, 'jinv': '102949393183198/86815346805', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 16336
{'Elabel': '1560.d6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1560, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.ba.2', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 40.1111567263761, 'jinv': '263059523447441758/2294739983908125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 22184
{'Elabel': '2280.h3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2280, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.ba.2', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 35.8907996847653, 'jinv': '-3865238121540962/764260336845', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 25806
{'Elabel': '2730.w8', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2730, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.ba.2', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 55.7269919484613, 'jinv': '1591934139020114746758719/1156766383092650262660', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 30263
{'Elabel': '3432.a5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3432, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.ba.2', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 28.012155745445, 'jinv': '-1463944682308/25079989077', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 30563
{'Elabel': '3480.r5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3480, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.ba.2', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 40.6622604684073, 'jinv': '-456452240483695684/204761413948725', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 35421
{'Elabel': '4290.bc6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 4290, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.ba.2', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 36.3053308449872, 'jinv': '-1769848555063681/5850659851882560', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 37858
{'Elabel': '4746.h5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 4746, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.ba.2', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 53.039532060952, 'jinv': '108336823284545466698303/656651058283049191488', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 38114
{'Elabel': '4785.a6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 4785, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.ba.2', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 45.1651992283789, 'jinv': '41209448166161735039/25491156205618125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 51679
{'Elabel': '7095.b6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 7095, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.ba.2', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 57.2125908951016, 'jinv': '7032545021242745074172159/140345481884305162150125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 56869
{'Elabel': '8103.b3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 8103, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.ba.2', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 51.4764941215784, 'jinv': '-22696419226155813010657/268551210600728973', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 57425
{'Elabel': '8190.a8', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 8190, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.ba.2', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 55.7269919484613, 'jinv': '1591934139020114746758719/1156766383092650262660', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 63173
{'Elabel': '9240.o3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 9240, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.ba.2', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 55.8296844213648, 'jinv': '-1764102724103262766456802/11303622506742021225', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 79864
{'Elabel': '12870.f6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 12870, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.ba.2', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 36.3053308449872, 'jinv': '-1769848555063681/5850659851882560', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 83059
{'Elabel': '13530.w5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 13530, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.ba.2', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 36.2908027444242, 'jinv': '-2533309721804161/5766275334788100', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 85890
{'Elabel': '14238.e5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 14238, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.ba.2', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 53.039532060952, 'jinv': '108336823284545466698303/656651058283049191488', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 86221
{'Elabel': '14280.r6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 14280, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.ba.2', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 42.4571214828841, 'jinv': '1547236207661507998/2747220872838320025', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 86717
{'Elabel': '14355.c6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 14355, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.ba.2', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 45.1651992283789, 'jinv': '41209448166161735039/25491156205618125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 88622
{'Elabel': '14790.bd3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 14790, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.ba.2', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 67.996545503414, 'jinv': '-339253627911344154340978354561/254011421590981053470820', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 94484
{'Elabel': '16104.b3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 16104, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.ba.2', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 66.6090715200517, 'jinv': '-84713418182604951694523698274/89735728753299191480181', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 97399
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