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gps_gl2zhat_fine • Show schema
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{'CPlabel': '8G0', 'Glabel': None, 'RSZBlabel': '16.48.0.206', 'RZBlabel': 'X75d', 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [10, 7, 15, 10], 'canonical_generators': [[1, 0, 1, 7], [1, 0, 8, 1], [3, 0, 2, 3], [3, 4, 1, 3], [7, 8, 8, 7], [9, 0, 0, 1], [11, 0, 14, 11], [15, 0, 14, 15], [15, 8, 0, 15], [15, 12, 15, 15]], 'cm_discriminants': [], 'coarse_class': '8.24.0.k', 'coarse_class_num': 11, 'coarse_index': 24, 'coarse_label': '8.24.0.k.1', 'coarse_level': 8, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[2, 4], [8, 2]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 3, 'generators': [[3, 8, 8, 1], [7, 14, 8, 15], [11, 15, 8, 13], [11, 15, 8, 15]], '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': '16.48.0-8.k.1.3', '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': 49, 'num_known_degree1_noncusp_points': 49, 'num_known_degree1_points': 50, 'obstructions': None, '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': ['16.24.0-8.n.1.7', '16.24.0-8.n.1.8'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '8.24.0.b.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', '8.24.0.k.1'], 'scalar_label': '4.2.1', 'simple': None, 'sl2label': '16.48.0-8.b.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': '8G0', 'Glabel': '64.250', 'RSZBlabel': '8.24.0.99', 'RZBlabel': 'X75', 'SZlabel': '8G0-8c', 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [3, 3, 7, 6], 'canonical_generators': [[1, 0, 1, 7], [1, 0, 2, 1], [1, 4, 1, 1], [3, 0, 2, 3], [3, 4, 1, 3], [5, 0, 2, 5]], 'cm_discriminants': [], 'coarse_class': '8.24.0.k', 'coarse_class_num': 11, 'coarse_index': 24, 'coarse_label': '8.24.0.k.1', 'coarse_level': 8, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[2, 4], [8, 2]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 4, 0, 3], [5, 4, 0, 7], [7, 1, 0, 1], [7, 4, 0, 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]], '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.k.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '4.6.0.c.1', '8.2.0.a.1', '8.6.0.a.1', '8.6.0.e.1', '8.12.0.d.1', '8.12.0.n.1', '8.12.0.p.1', '8.24.0.k.1'], 'lattice_x': [2305, 3695, 6305, 915, 1085, 3525, 3525, 6305, 9085, 6305], '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': 49, 'num_known_degree1_noncusp_points': 49, 'num_known_degree1_points': 50, '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.d.1', '8.12.0.n.1', '8.12.0.p.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '8.24.0.b.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': '1.1.1', 'simple': None, 'sl2label': '8.24.0.b.1', 'sl2level': 8, 'squarefree': None, 'trace_hash': 0, 'traces': []}
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modcurve 8.24.0.k.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^4-16*x^3*y-112*x^2*y^2-128*x*y^3+64*y^4)^3*(x^4+16*x^3*y-112*x^2*y^2+128*x*y^3+64*y^4)^3', 'y^2*x^26*(x^2-8*y^2)^2*(x^2+8*y^2)^8'], 'degree': 24, 'domain_label': '8.24.0.k.1', 'domain_model_type': 1, 'dont_display': False, 'factored': True, 'leading_coefficients': ['-1', '2'], 'upload_id': None}
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modcurve_points • Show schema
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id: 2280
{'Elabel': '102.c3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 102, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.k.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 33.8283037763628, 'jinv': '-491411892194497/125563633938', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1556
{'Elabel': '42.a6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 42, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.k.1', 'curve_level': 8, '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: 1847975
{'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': '8.24.0.k.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: 823
{'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.k.1', '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: 8967
{'Elabel': '714.f3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 714, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.k.1', 'curve_level': 8, '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: 18722
{'Elabel': '1848.g6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1848, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.k.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 32.6156043863813, 'jinv': '146142660369886/94532266521', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 20281
{'Elabel': '2046.f6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2046, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.k.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 40.7096240711441, 'jinv': '478591624936623743/10812469457036808', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 26224
{'Elabel': '2760.e6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2760, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.k.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 42.5884514677864, 'jinv': '3132776881711582558/3735130619961225', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 33392
{'Elabel': '3990.s3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3990, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.k.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 47.7025046612073, 'jinv': '-521116167586355661601/1092005739697609800', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 37866
{'Elabel': '4746.h6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 4746, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.k.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 57.8284745278845, 'jinv': '13019292502618911321403583/41361350806450865699208', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 43205
{'Elabel': '5610.bc6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 5610, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.k.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 44.2112964991357, 'jinv': '15875306080318016639/20322604533582450', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 43566
{'Elabel': '5658.h6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 5658, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.k.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 47.2518448897867, 'jinv': '332059183270966325663/304129832126760648', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 54970
{'Elabel': '7752.i6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 7752, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.k.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 37.3502174436768, 'jinv': '16633871175485086/44174247469641', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 63174
{'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.k.1', '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: 70130
{'Elabel': '10626.p4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 10626, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.k.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 55.1054741867903, 'jinv': '-855073332201294509246497/21439133060285771735058', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 86222
{'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.k.1', '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: 147100
{'Elabel': '29274.bj5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 29274, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.k.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 67.2607875477254, 'jinv': '-162550713618221388169133079937/288588507379689908873627208', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 154514
{'Elabel': '31098.k5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 31098, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.k.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 46.3747510669302, 'jinv': '-138133332057014947297/73176575818285121778', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 160233
{'Elabel': '32718.f6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 32718, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.k.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 51.8076095990912, 'jinv': '31605231042621569589983/18356616484316820738', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 160474
{'Elabel': '32766.j5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 32766, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.k.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 56.3724701430362, 'jinv': '-3035657108161256429200897/39579937367110254616608', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 169256
{'Elabel': '35178.n3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 35178, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.k.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 67.258609157341, 'jinv': '-162197000109616446404619317857/550371568763802365877911328', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 172549
{'Elabel': '36120.bb3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 36120, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.k.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 44.2305002851699, 'jinv': '-16183118180710605602/128862408060551025', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 180603
{'Elabel': '38346.i3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 38346, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.k.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 66.171288366007, 'jinv': '-54679608673700811347552687137/2803665550963069644733728', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 182739
{'Elabel': '38982.f6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 38982, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.k.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 56.6392882274202, 'jinv': '3963969790849127606377823/3398449242784995123138', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 229509
{'Elabel': '52530.q6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 52530, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.k.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 63.6258444631143, 'jinv': '4288971464264222792744254559/2548565988175030236199200', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 247242
{'Elabel': '58254.t5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 58254, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.k.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 74.487703215294, 'jinv': '-223665230098084356254086891739137/160321102517609180502377758848', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 249415
{'Elabel': '58854.m3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 58854, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '8.24.0.k.1', 'curve_level': 8, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 76.2939630201816, 'jinv': '-1361592473832816931257389760013057/255644730036690536617042248', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 249849
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