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gps_gl2zhat_fine • Show schema
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{'CPlabel': '6I0', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 7], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 11, 22], [0, 1, 29, 22], [0, 5, 19, 8], [1, 2, 30, 35], [1, 14, 28, 15], [43, 0, 0, 1], [43, 42, 42, 43], [77, 78, 48, 47], [83, 0, 42, 83], [83, 0, 78, 83], [83, 42, 0, 83], [83, 78, 0, 83]], 'cm_discriminants': [], 'coarse_class': '42.24.0.c', 'coarse_class_num': 3, 'coarse_index': 24, 'coarse_label': '42.24.0.c.1', 'coarse_level': 42, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[2, 3], [6, 3]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 1, 'generators': [[11, 66, 38, 73], [11, 72, 42, 53], [18, 11, 77, 36], [81, 16, 28, 45]], 'genus': 0, 'genus_minus_rank': None, 'has_obstruction': 0, '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], [7, 8, 1], [12, 2, 1], [12, 4, 1], [12, 6, 1], [12, 12, 1], [14, 8, 1], [14, 16, 1], [21, 8, 1], [21, 24, 1], [28, 16, 1], [28, 32, 1], [42, 8, 1], [42, 16, 1], [42, 24, 1], [42, 48, 1], [84, 16, 1], [84, 32, 1], [84, 48, 1], [84, 96, 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], [7, 24, 1], [12, 4, 1], [12, 8, 1], [12, 12, 1], [12, 24, 1], [14, 24, 1], [14, 48, 1], [21, 48, 1], [21, 144, 1], [28, 96, 1], [28, 192, 1], [42, 48, 1], [42, 96, 1], [42, 144, 1], [42, 288, 1], [84, 192, 1], [84, 384, 1], [84, 576, 1], [84, 1152, 1]], 'label': '84.48.0-42.c.1.1', 'lattice_labels': None, 'lattice_x': None, 'level': 84, 'level_is_squarefree': False, 'level_radical': 42, 'log_conductor': None, 'models': None, 'mults': None, 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 3, 'num_known_degree1_noncm_points': None, 'num_known_degree1_noncusp_points': None, 'num_known_degree1_points': None, '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], [7, 48, 1], [12, 8, 1], [12, 16, 1], [12, 24, 1], [12, 48, 1], [14, 48, 1], [14, 96, 1], [21, 96, 1], [21, 288, 1], [28, 192, 1], [28, 384, 1], [42, 96, 1], [42, 192, 1], [42, 288, 1], [42, 576, 1], [84, 384, 1], [84, 768, 1], [84, 1152, 1], [84, 2304, 1]], 'parents': ['12.24.0-6.a.1.6', '84.24.0-6.a.1.6'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '6.24.0.a.1', 'psl2level': 6, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': None, 'rational_cusps': 2, 'reductions': ['1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '3.4.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.6', '42.24.0.c.1'], 'scalar_label': '3.2.1', 'simple': None, 'sl2label': '6.24.0.a.1', 'sl2level': 12, 'squarefree': None, 'trace_hash': None, 'traces': None}
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gps_gl2zhat_fine • Show schema
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{'CPlabel': '6I0', 'Glabel': None, 'RSZBlabel': '42.24.0.6', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 7], 'canonical_conjugator': [37, 21, 41, 8], 'canonical_generators': [[0, 1, 11, 22], [0, 1, 29, 22], [0, 5, 19, 8], [1, 0, 6, 1], [1, 2, 30, 35], [1, 6, 0, 1], [1, 14, 28, 15], [7, 6, 36, 37]], 'cm_discriminants': [], 'coarse_class': '42.24.0.c', 'coarse_class_num': 3, 'coarse_index': 24, 'coarse_label': '42.24.0.c.1', 'coarse_level': 42, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 2]], 'cusp_widths': [[2, 3], [6, 3]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[11, 22, 15, 5], [11, 28, 0, 19], [25, 10, 3, 31]], '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], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [7, 8, 1], [14, 8, 1], [14, 16, 1], [21, 8, 1], [21, 24, 1], [42, 8, 1], [42, 16, 1], [42, 24, 1], [42, 48, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [7, 24, 1], [14, 24, 1], [14, 48, 1], [21, 48, 1], [21, 144, 1], [42, 48, 1], [42, 96, 1], [42, 144, 1], [42, 288, 1]], 'label': '42.24.0.c.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '42.2.0.a.1', '42.6.0.a.1', '42.8.0.b.1', '42.24.0.c.1'], 'lattice_x': [5802, 8477, 6379, 6379, 3004, 3004, 1111, 3375], 'level': 42, 'level_is_squarefree': True, 'level_radical': 42, 'log_conductor': None, 'models': 1, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 3, 'num_known_degree1_noncm_points': 53, 'num_known_degree1_noncusp_points': 53, 'num_known_degree1_points': 54, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 6, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [7, 48, 1], [14, 48, 1], [14, 96, 1], [21, 96, 1], [21, 288, 1], [42, 96, 1], [42, 192, 1], [42, 288, 1], [42, 576, 1]], 'parents': ['6.12.0.a.1', '42.6.0.a.1', '42.8.0.b.1'], 'parents_conj': [[20, 35, 39, 10], [23, 3, 15, 28], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '6.24.0.a.1', 'psl2level': 6, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': ['1.1.0.a.1', '2.3.0.a.1', '2.3.0.a.1', '3.4.0.a.1', '3.4.0.a.1', '6.12.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '6.24.0.a.1', 'sl2level': 6, 'squarefree': None, 'trace_hash': 0, 'traces': []}
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modcurve 42.24.0.c.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*(7*x^2+144*y^2)^3*(343*x^6-35280*x^4*y^2+1209600*x^2*y^4+331776*y^6)^3', 'y^6*x^26*(7*x^2-432*y^2)^2*(7*x^2-48*y^2)^6'], 'degree': 24, 'domain_label': '42.24.0.c.1', 'domain_model_type': 1, 'dont_display': False, 'factored': True, 'leading_coefficients': ['1', '2^12*3^3*7'], 'upload_id': None}
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modcurve_points • Show schema
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id: 14085
{'Elabel': '1260.d2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1260, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '42.24.0.c.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 20.1935832122387, 'jinv': '588791808/109375', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 14101
{'Elabel': '1260.d4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1260, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '42.24.0.c.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 23.101784883803, 'jinv': '10788913152/8575', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 3625
{'Elabel': '210.b1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 210, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '42.24.0.c.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 49.9212142396431, 'jinv': '4791901410190533590281/41160000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1779966
{'Elabel': None, 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': None, 'coordinates': {'1': ['-12/7,24/7:1,0']}, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '42.24.0.c.1', 'curve_level': 42, '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': '2.2.21.1', 'upload_id': None}
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id: 1848525
{'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': '42.24.0.c.1', 'curve_level': 42, '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: 3668
{'Elabel': '210.b4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 210, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '42.24.0.c.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 36.7525787079585, 'jinv': '9150443179640281/184570312500', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 6040
{'Elabel': '420.c1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 420, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '42.24.0.c.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 25.9656655256561, 'jinv': '189123395584/16078125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 6049
{'Elabel': '420.c2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 420, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '42.24.0.c.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 21.1899847173065, 'jinv': '1594753024/4725', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 61849
{'Elabel': '9030.j1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 9030, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '42.24.0.c.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 63.0147180619264, 'jinv': '2327792866610859661935739609/38829000000000000000000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 61855
{'Elabel': '9030.j2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 9030, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '42.24.0.c.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 56.3096543793728, 'jinv': '2850835609194971623539049/58542143196789000000', 'jorig': '2850835609194971623539049/58542143196789000000', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 61882
{'Elabel': '9030.j3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 9030, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '42.24.0.c.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 56.2946730863766, 'jinv': '2808444733558418932536889/25475706900', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 70396
{'Elabel': '10710.k1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 10710, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '42.24.0.c.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 34.2267920488206, 'jinv': '731992986690867/270340772800', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 70403
{'Elabel': '10710.k2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 10710, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '42.24.0.c.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 38.2894012333598, 'jinv': '42547659109328043/6195437500', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 99719
{'Elabel': '17220.j1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 17220, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '42.24.0.c.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 42.9412894707994, 'jinv': '4458256618527145984/1558627954078125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 99726
{'Elabel': '17220.j2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 17220, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '42.24.0.c.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 42.6019755514268, 'jinv': '3175432607945703424/389193525', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 110618
{'Elabel': '19740.w2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 19740, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '42.24.0.c.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 45.0249409551099, 'jinv': '35816521494729588736/5659088047725', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 110628
{'Elabel': '19740.w4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 19740, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '42.24.0.c.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 34.4196713183545, 'jinv': '887714517876736/319649203125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 116146
{'Elabel': '21210.bd1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 21210, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '42.24.0.c.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 46.9226951079824, 'jinv': '238928282598147735601/109230423496842900', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 116156
{'Elabel': '21210.bd3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 21210, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '42.24.0.c.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 44.8496290138929, 'jinv': '30057052932071247601/1927989000000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 117058
{'Elabel': '21420.o2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 21420, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '42.24.0.c.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 40.3532565649403, 'jinv': '335117149277257728/31609375', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 117068
{'Elabel': '21420.o4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 21420, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '42.24.0.c.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 34.0738444852045, 'jinv': '628177876549632/206979654175', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 130080
{'Elabel': '24780.p2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 24780, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '42.24.0.c.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 47.0982622533283, 'jinv': '284783880747029610496/9765848051232525', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 130090
{'Elabel': '24780.p4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 24780, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '42.24.0.c.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 41.2018703599201, 'jinv': '782969674228842496/7493994703125', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 134005
{'Elabel': '25830.j1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 25830, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '42.24.0.c.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 47.4244658716267, 'jinv': '394624309744545440643/753088000000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 134015
{'Elabel': '25830.j3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 25830, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '42.24.0.c.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 41.6222524099578, 'jinv': '1192105100199918267/651714301865200', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 161990
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