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gps_gl2zhat_fine • Show schema
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{'CPlabel': '6C0', 'Glabel': None, 'RSZBlabel': '42.16.0.10', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 7], 'canonical_conjugator': [37, 0, 41, 29], 'canonical_generators': [[0, 1, 11, 22], [0, 1, 25, 15], [0, 1, 29, 22], [0, 37, 23, 34], [1, 0, 6, 1], [1, 6, 0, 1], [6, 35, 7, 41], [7, 6, 36, 37], [27, 35, 7, 20]], 'cm_discriminants': [], 'coarse_class': '42.8.0.b', 'coarse_class_num': 2, 'coarse_index': 8, 'coarse_label': '42.8.0.b.1', 'coarse_level': 42, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2]], 'cusp_widths': [[2, 1], [6, 1]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 1, 'generators': [[8, 33, 27, 19], [16, 35, 21, 32]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 16, 'isogeny_orbits': [[2, 3, 1], [3, 1, 1], [3, 3, 1], [6, 3, 1], [6, 9, 1], [7, 8, 1], [14, 24, 1], [21, 8, 1], [21, 24, 1], [42, 24, 1], [42, 72, 1]], 'kummer_orbits': [[2, 3, 1], [3, 1, 1], [3, 3, 1], [6, 3, 1], [6, 9, 1], [7, 24, 1], [14, 72, 1], [21, 48, 1], [21, 144, 1], [42, 144, 1], [42, 432, 1]], 'label': '42.16.0-42.b.1.1', 'lattice_labels': None, 'lattice_x': None, 'level': 42, 'level_is_squarefree': True, 'level_radical': 42, 'log_conductor': None, 'models': None, 'mults': None, 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 2, 'num_bad_primes': 3, 'num_known_degree1_noncm_points': 145, 'num_known_degree1_noncusp_points': 145, 'num_known_degree1_points': 146, 'obstructions': None, 'orbits': [[2, 3, 1], [3, 2, 1], [3, 6, 1], [6, 6, 1], [6, 18, 1], [7, 48, 1], [14, 144, 1], [21, 96, 1], [21, 288, 1], [42, 288, 1], [42, 864, 1]], 'parents': ['6.8.0-3.a.1.2', '21.8.0-3.a.1.1'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 8, 'psl2label': '6.8.0.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', '1.1.0.a.1', '1.1.0.a.1', '3.4.0.a.1', '6.8.0-3.a.1.2', '21.8.0-3.a.1.1'], 'scalar_label': '3.2.1', 'simple': None, 'sl2label': '6.16.0-6.a.1.1', 'sl2level': 6, 'squarefree': None, 'trace_hash': 0, 'traces': None}
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gps_gl2zhat_fine • Show schema
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{'CPlabel': '6C0', 'Glabel': None, 'RSZBlabel': '42.8.0.4', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 7], 'canonical_conjugator': [31, 0, 14, 17], 'canonical_generators': [[0, 1, 11, 22], [0, 1, 25, 15], [0, 1, 29, 22], [0, 5, 19, 8], [1, 0, 6, 1], [1, 6, 0, 1], [7, 6, 36, 37], [15, 7, 35, 22], [36, 7, 35, 1]], 'cm_discriminants': [], 'coarse_class': '42.8.0.b', 'coarse_class_num': 2, 'coarse_index': 8, 'coarse_label': '42.8.0.b.1', 'coarse_level': 42, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2]], 'cusp_widths': [[2, 1], [6, 1]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 14, 27, 29], [23, 37, 39, 20], [25, 2, 12, 11]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 8, 'isogeny_orbits': [[2, 3, 1], [3, 1, 1], [3, 3, 1], [6, 3, 1], [6, 9, 1], [7, 8, 1], [14, 24, 1], [21, 8, 1], [21, 24, 1], [42, 24, 1], [42, 72, 1]], 'kummer_orbits': [[2, 3, 1], [3, 1, 1], [3, 3, 1], [6, 3, 1], [6, 9, 1], [7, 24, 1], [14, 72, 1], [21, 48, 1], [21, 144, 1], [42, 144, 1], [42, 432, 1]], 'label': '42.8.0.b.1', 'lattice_labels': ['1.1.0.a.1', '3.4.0.a.1', '42.2.0.a.1', '42.8.0.b.1'], 'lattice_x': [4657, 7466, 1849, 4657], 'level': 42, 'level_is_squarefree': True, 'level_radical': 42, 'log_conductor': None, 'models': 1, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 2, 'num_bad_primes': 3, 'num_known_degree1_noncm_points': 145, 'num_known_degree1_noncusp_points': 145, 'num_known_degree1_points': 146, 'obstructions': [], 'orbits': [[2, 3, 1], [3, 2, 1], [3, 6, 1], [6, 6, 1], [6, 18, 1], [7, 48, 1], [14, 144, 1], [21, 96, 1], [21, 288, 1], [42, 288, 1], [42, 864, 1]], 'parents': ['3.4.0.a.1', '42.2.0.a.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 8, 'psl2label': '6.8.0.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', '1.1.0.a.1', '1.1.0.a.1', '3.4.0.a.1', '3.4.0.a.1', '3.4.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '6.8.0.a.1', 'sl2level': 6, 'squarefree': None, 'trace_hash': 0, 'traces': []}
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modcurve 42.8.0.b.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^8*(7*x^2+144*y^2)^3*(7*x^2+1296*y^2)', 'y^6*x^10'], 'degree': 8, 'domain_label': '42.8.0.b.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: 14086
{'Elabel': '1260.d2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1260, 'coordinates': None, 'curve_genus': 0, 'curve_index': 8, 'curve_label': '42.8.0.b.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: 14102
{'Elabel': '1260.d4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1260, 'coordinates': None, 'curve_genus': 0, 'curve_index': 8, 'curve_label': '42.8.0.b.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: 3626
{'Elabel': '210.b1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 210, 'coordinates': None, 'curve_genus': 0, 'curve_index': 8, 'curve_label': '42.8.0.b.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: 3342
{'Elabel': '189.b1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 189, 'coordinates': None, 'curve_genus': 0, 'curve_index': 8, 'curve_label': '42.8.0.b.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 24.2838596281912, 'jinv': '35184082944/7', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1787775
{'Elabel': None, 'ainvs': None, 'cardinality': 2, 'cm': 0, 'conductor_norm': None, 'coordinates': {'1': ['0:1', '1:0']}, 'curve_genus': 0, 'curve_index': 8, 'curve_label': '42.8.0.b.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: 3348
{'Elabel': '189.b2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 189, 'coordinates': None, 'curve_genus': 0, 'curve_index': 8, 'curve_label': '42.8.0.b.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 13.6930445744035, 'jinv': '884736/343', 'jorig': '884736/343', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 3359
{'Elabel': '189.b3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 189, 'coordinates': None, 'curve_genus': 0, 'curve_index': 8, 'curve_label': '42.8.0.b.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 17.8519276577632, 'jinv': '56623104/7', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 3669
{'Elabel': '210.b4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 210, 'coordinates': None, 'curve_genus': 0, 'curve_index': 8, 'curve_label': '42.8.0.b.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: 6041
{'Elabel': '420.c1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 420, 'coordinates': None, 'curve_genus': 0, 'curve_index': 8, 'curve_label': '42.8.0.b.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: 6050
{'Elabel': '420.c2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 420, 'coordinates': None, 'curve_genus': 0, 'curve_index': 8, 'curve_label': '42.8.0.b.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: 9196
{'Elabel': '756.b1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 756, 'coordinates': None, 'curve_genus': 0, 'curve_index': 8, 'curve_label': '42.8.0.b.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 17.3032114543425, 'jinv': '32710656/343', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 9199
{'Elabel': '756.b2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 756, 'coordinates': None, 'curve_genus': 0, 'curve_index': 8, 'curve_label': '42.8.0.b.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 12.3067502132836, 'jinv': '221184/7', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 23858
{'Elabel': '2457.e1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2457, 'coordinates': None, 'curve_genus': 0, 'curve_index': 8, 'curve_label': '42.8.0.b.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 44.7825450122558, 'jinv': '28106850547771539456/1183', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 23862
{'Elabel': '2457.e2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2457, 'coordinates': None, 'curve_genus': 0, 'curve_index': 8, 'curve_label': '42.8.0.b.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 32.1256014767804, 'jinv': '89530590560256/6819759583', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 23865
{'Elabel': '2457.e3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2457, 'coordinates': None, 'curve_genus': 0, 'curve_index': 8, 'curve_label': '42.8.0.b.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 33.7989256724111, 'jinv': '477185143209984/1655595487', 'jorig': '477185143209984/1655595487', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 24366
{'Elabel': '2541.e1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2541, 'coordinates': None, 'curve_genus': 0, 'curve_index': 8, 'curve_label': '42.8.0.b.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 24.2810271706648, 'jinv': '35084566528/1029', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 24424
{'Elabel': '2541.e2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2541, 'coordinates': None, 'curve_genus': 0, 'curve_index': 8, 'curve_label': '42.8.0.b.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 12.7951029811975, 'jinv': '360448/189', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 58040
{'Elabel': '8316.a1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 8316, 'coordinates': None, 'curve_genus': 0, 'curve_index': 8, 'curve_label': '42.8.0.b.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 29.1461345324478, 'jinv': '4549937135616/41503', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 58043
{'Elabel': '8316.a2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 8316, 'coordinates': None, 'curve_genus': 0, 'curve_index': 8, 'curve_label': '42.8.0.b.1', 'curve_level': 42, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 23.7926744027509, 'jinv': '21529165824/12400927', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 61850
{'Elabel': '9030.j1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 9030, 'coordinates': None, 'curve_genus': 0, 'curve_index': 8, 'curve_label': '42.8.0.b.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: 61859
{'Elabel': '9030.j2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 9030, 'coordinates': None, 'curve_genus': 0, 'curve_index': 8, 'curve_label': '42.8.0.b.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: 61883
{'Elabel': '9030.j3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 9030, 'coordinates': None, 'curve_genus': 0, 'curve_index': 8, 'curve_label': '42.8.0.b.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: 70397
{'Elabel': '10710.k1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 10710, 'coordinates': None, 'curve_genus': 0, 'curve_index': 8, 'curve_label': '42.8.0.b.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: 70404
{'Elabel': '10710.k2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 10710, 'coordinates': None, 'curve_genus': 0, 'curve_index': 8, 'curve_label': '42.8.0.b.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: 99720
{'Elabel': '17220.j1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 17220, 'coordinates': None, 'curve_genus': 0, 'curve_index': 8, 'curve_label': '42.8.0.b.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: 99727
{'Elabel': '17220.j2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 17220, 'coordinates': None, 'curve_genus': 0, 'curve_index': 8, 'curve_label': '42.8.0.b.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: 110619
{'Elabel': '19740.w2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 19740, 'coordinates': None, 'curve_genus': 0, 'curve_index': 8, 'curve_label': '42.8.0.b.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: 110629
{'Elabel': '19740.w4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 19740, 'coordinates': None, 'curve_genus': 0, 'curve_index': 8, 'curve_label': '42.8.0.b.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: 116147
{'Elabel': '21210.bd1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 21210, 'coordinates': None, 'curve_genus': 0, 'curve_index': 8, 'curve_label': '42.8.0.b.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: 165584
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id: 169768
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id: 173294
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id: 185114
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