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gps_gl2zhat_fine • Show schema
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{'CPlabel': '12E0', 'Glabel': None, 'RSZBlabel': '24.48.0.1040', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [1, 0, 19, 23], 'canonical_generators': [[0, 1, 5, 4], [0, 1, 7, 0], [0, 5, 7, 2], [0, 17, 19, 14], [0, 19, 23, 16], [0, 23, 13, 14], [1, 0, 12, 1], [1, 12, 0, 1], [11, 0, 0, 23], [13, 12, 12, 13]], 'cm_discriminants': [-12], 'coarse_class': '12.24.0.j', 'coarse_class_num': 10, 'coarse_index': 24, 'coarse_label': '12.24.0.j.1', 'coarse_level': 12, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[1, 2], [3, 2], [4, 1], [12, 1]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 2, 'generators': [[5, 12, 14, 19], [9, 4, 22, 21], [17, 15, 12, 23], [19, 21, 0, 7]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 48, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 4, 1], [8, 8, 1], [12, 2, 1], [12, 4, 1], [12, 6, 1], [12, 12, 1], [24, 4, 1], [24, 8, 1], [24, 12, 1], [24, 24, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 8, 1], [8, 16, 1], [12, 4, 1], [12, 8, 1], [12, 12, 1], [12, 24, 1], [24, 16, 1], [24, 32, 1], [24, 48, 1], [24, 96, 1]], 'label': '24.48.0-12.j.1.2', 'lattice_labels': None, 'lattice_x': None, 'level': 24, 'level_is_squarefree': False, 'level_radical': 6, 'log_conductor': None, 'models': None, 'mults': None, 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 68, 'num_known_degree1_noncusp_points': 69, 'num_known_degree1_points': 70, 'obstructions': None, 'orbits': [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 6, 1], [4, 4, 1], [4, 8, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [8, 16, 1], [8, 32, 1], [12, 8, 1], [12, 16, 1], [12, 24, 1], [12, 48, 1], [24, 32, 1], [24, 64, 1], [24, 96, 1], [24, 192, 1]], 'parents': ['24.24.0-6.a.1.1', '24.24.0-6.a.1.12'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '12.24.0.a.1', 'psl2level': 12, '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', '2.3.0.a.1', '2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.j.1'], 'scalar_label': '3.2.1', 'simple': None, 'sl2label': '12.48.0-12.a.1.2', 'sl2level': 12, 'squarefree': None, 'trace_hash': 0, 'traces': None}
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gps_gl2zhat_fine • Show schema
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{'CPlabel': '12E0', 'Glabel': '192.1358', 'RSZBlabel': '12.24.0.48', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3], 'canonical_conjugator': [1, 0, 7, 11], 'canonical_generators': [[0, 1, 5, 4], [0, 1, 7, 0], [0, 1, 11, 10], [0, 5, 1, 8], [0, 5, 7, 2], [0, 7, 5, 10]], 'cm_discriminants': [-12], 'coarse_class': '12.24.0.j', 'coarse_class_num': 10, 'coarse_index': 24, 'coarse_label': '12.24.0.j.1', 'coarse_level': 12, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[1, 2], [3, 2], [4, 1], [12, 1]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 2, 4, 9], [3, 5, 2, 9], [3, 8, 2, 3], [5, 3, 0, 11]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 24, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [12, 2, 1], [12, 4, 1], [12, 6, 1], [12, 12, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [12, 4, 1], [12, 8, 1], [12, 12, 1], [12, 24, 1]], 'label': '12.24.0.j.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.6.0.c.1', '12.24.0.j.1'], 'lattice_x': [3750, 5544, 2011, 5000, 8533, 6739], 'level': 12, 'level_is_squarefree': False, 'level_radical': 6, 'log_conductor': None, 'models': 1, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 68, 'num_known_degree1_noncusp_points': 69, 'num_known_degree1_points': 70, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 6, 1], [4, 4, 1], [4, 8, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [12, 8, 1], [12, 16, 1], [12, 24, 1], [12, 48, 1]], 'parents': ['6.12.0.a.1', '12.6.0.c.1'], 'parents_conj': [[7, 0, 2, 11], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '12.24.0.a.1', 'psl2level': 12, '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', '2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '12.24.0.a.1', 'sl2level': 12, 'squarefree': None, 'trace_hash': 0, 'traces': []}
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modcurve 12.24.0.j.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*(9*x^2+4*y^2)^3*(81*x^6+108*x^4*y^2+432*x^2*y^4+64*y^6)^3', 'y^4*x^36*(3*x^2+4*y^2)^3*(27*x^2+4*y^2)'], 'degree': 24, 'domain_label': '12.24.0.j.1', 'domain_model_type': 1, 'dont_display': False, 'factored': True, 'leading_coefficients': ['1', '2^4*3^6'], 'upload_id': None}
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modcurve_points • Show schema
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id: 1301
{'Elabel': '36.a1', 'ainvs': None, 'cardinality': None, 'cm': -12, 'conductor_norm': 36, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.j.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 10.8967393255464, 'jinv': '54000', 'jorig': '54000', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1709685
{'Elabel': None, 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': None, 'coordinates': {'1': ['-2/3,4/3:1,0']}, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.j.1', 'curve_level': 12, 'curve_name': None, 'cusp': True, 'degree': 2, 'isolated': None, 'j_field': '1.1.1.1', 'j_height': 0.0, 'jinv': None, 'jorig': None, 'quo_info': None, 'residue_field': '2.0.3.1', 'upload_id': None}
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id: 1848141
{'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': '12.24.0.j.1', 'curve_level': 12, '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: 2057
{'Elabel': '84.b1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 84, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.j.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 28.6019058403678, 'jinv': '2640279346000/3087', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 2072
{'Elabel': '84.b3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 84, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.j.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 16.1005424917107, 'jinv': '9826000/5103', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 14418
{'Elabel': '1302.h1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1302, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.j.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 36.6990929463338, 'jinv': '8673882953919625/7687507968', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 14430
{'Elabel': '1302.h3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1302, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.j.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 27.2831045871713, 'jinv': '706157817625/124023312', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 17152
{'Elabel': '1638.e1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1638, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.j.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 24.4253166139694, 'jinv': '40530337875/18264064', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 17157
{'Elabel': '1638.e2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1638, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.j.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 28.9097640578006, 'jinv': '3592121380875/246064', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 23283
{'Elabel': '2394.c1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2394, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.j.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 37.5246920513172, 'jinv': '19804628171203875/5638671302656', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 23288
{'Elabel': '2394.c2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2394, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.j.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 43.8593560275413, 'jinv': '11165451838341046875/572244736', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 39299
{'Elabel': '4902.f1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 4902, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.j.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 42.2658165111627, 'jinv': '2268876641163765625/228097945239552', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 39304
{'Elabel': '4902.f2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 4902, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.j.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 37.7124076827188, 'jinv': '23894093340015625/55042322688', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 40326
{'Elabel': '5124.b1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 5124, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.j.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 53.9259469274505, 'jinv': '262870094943539630818000/1158284043', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 40338
{'Elabel': '5124.b3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 5124, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.j.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 40.7543818902708, 'jinv': '500498947251826000/8105998891347', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 42148
{'Elabel': '5460.e1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 5460, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.j.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 39.3786169274129, 'jinv': '126449185587012304/33791748046875', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 42153
{'Elabel': '5460.e2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 5460, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.j.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 36.2698755721663, 'jinv': '5646857395652944/2031631875', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 59099
{'Elabel': '8502.e1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 8502, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.j.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 49.9169447985838, 'jinv': '4771486281163414956625/2424294288', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 59111
{'Elabel': '8502.e3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 8502, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.j.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 36.7905472232, 'jinv': '9504551872140625/715062546432', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 88742
{'Elabel': '14820.g1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 14820, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.j.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 66.0927601074284, 'jinv': '50549982364257258712085830096/515865211875', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 88755
{'Elabel': '14820.g3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 14820, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.j.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 52.91097399137, 'jinv': '95267339410559227030096/206307533935546875', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 103960
{'Elabel': '18186.e1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 18186, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.j.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 66.312099867162, 'jinv': '62947582504073445270923538625/9165206276352', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 103972
{'Elabel': '18186.e3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 18186, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.j.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 53.1325379917543, 'jinv': '118896223223193941778625/623050947337125888', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 114229
{'Elabel': '20748.o1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 20748, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.j.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 44.4325221296072, 'jinv': '19806109599087250000/11107674502664103', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 114234
{'Elabel': '20748.o2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 20748, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.j.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 43.0022675369202, 'jinv': '4738572182590594000/73063983447', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 126910
{'Elabel': '23940.j1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 23940, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.j.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 36.9498411321864, 'jinv': '11145822201856368/1591064453125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 126915
{'Elabel': '23940.j2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 23940, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '12.24.0.j.1', 'curve_level': 12, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 43.4279385172258, 'jinv': '7252939560652551792/30008125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 137382
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id: 1208908
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id: 1208920
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id: 1219543
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id: 1219555
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