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gps_gl2zhat_fine • Show schema
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{'CPlabel': '12E0', 'Glabel': None, 'RSZBlabel': '60.48.0.220', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 5], 'canonical_conjugator': [31, 0, 32, 23], 'canonical_generators': [[0, 1, 11, 46], [0, 1, 43, 36], [0, 49, 59, 34], [0, 59, 19, 44], [0, 59, 37, 20], [1, 0, 12, 1], [1, 12, 0, 1], [13, 12, 48, 49], [24, 55, 5, 34], [36, 25, 35, 46], [36, 55, 5, 46]], 'cm_discriminants': [], 'coarse_class': '60.24.0.q', 'coarse_class_num': 17, 'coarse_index': 24, 'coarse_label': '60.24.0.q.1', 'coarse_level': 60, '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': 7, 'generators': [[8, 13, 27, 16], [25, 44, 18, 17], [40, 21, 57, 38], [41, 14, 12, 5]], '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], [5, 6, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [10, 6, 1], [10, 12, 1], [12, 2, 1], [12, 4, 1], [12, 6, 1], [12, 12, 1], [15, 6, 1], [15, 18, 1], [20, 12, 1], [20, 24, 1], [30, 6, 1], [30, 12, 1], [30, 18, 1], [30, 36, 1], [60, 12, 1], [60, 24, 1], [60, 36, 1], [60, 72, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [5, 12, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [10, 12, 1], [10, 24, 1], [12, 4, 1], [12, 8, 1], [12, 12, 1], [12, 24, 1], [15, 24, 1], [15, 72, 1], [20, 48, 1], [20, 96, 1], [30, 24, 1], [30, 48, 1], [30, 72, 1], [30, 144, 1], [60, 96, 1], [60, 192, 1], [60, 288, 1], [60, 576, 1]], 'label': '60.48.0-60.q.1.7', 'lattice_labels': None, 'lattice_x': None, 'level': 60, 'level_is_squarefree': False, 'level_radical': 30, 'log_conductor': None, 'models': None, 'mults': None, 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 3, 'num_known_degree1_noncm_points': 88, 'num_known_degree1_noncusp_points': 88, 'num_known_degree1_points': 89, 'obstructions': None, 'orbits': [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 6, 1], [4, 4, 1], [4, 8, 1], [5, 24, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [10, 24, 1], [10, 48, 1], [12, 8, 1], [12, 16, 1], [12, 24, 1], [12, 48, 1], [15, 48, 1], [15, 144, 1], [20, 96, 1], [20, 192, 1], [30, 48, 1], [30, 96, 1], [30, 144, 1], [30, 288, 1], [60, 192, 1], [60, 384, 1], [60, 576, 1], [60, 1152, 1]], 'parents': ['12.24.0-6.a.1.6', '60.24.0-6.a.1.3'], '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': ['1.1.0.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', '6.12.0.a.1', '12.24.0-6.a.1.6', '20.6.0.c.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': None, 'RSZBlabel': '60.24.0.51', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 5], 'canonical_conjugator': [23, 0, 16, 19], 'canonical_generators': [[0, 1, 11, 46], [0, 1, 23, 40], [0, 1, 41, 16], [0, 1, 43, 36], [0, 11, 1, 26], [1, 0, 12, 1], [1, 12, 0, 1], [13, 12, 48, 49], [36, 5, 55, 26], [36, 25, 35, 46], [36, 55, 5, 46]], 'cm_discriminants': [], 'coarse_class': '60.24.0.q', 'coarse_class_num': 17, 'coarse_index': 24, 'coarse_label': '60.24.0.q.1', 'coarse_level': 60, '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': ['3.4.0.a.1', '20.6.0.c.1'], 'fine_num': 0, 'generators': [[2, 7, 27, 10], [7, 4, 18, 53], [14, 11, 33, 14], [35, 58, 6, 17], [43, 28, 54, 23]], '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], [5, 6, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [10, 6, 1], [10, 12, 1], [12, 2, 1], [12, 4, 1], [12, 6, 1], [12, 12, 1], [15, 6, 1], [15, 18, 1], [20, 12, 1], [20, 24, 1], [30, 6, 1], [30, 12, 1], [30, 18, 1], [30, 36, 1], [60, 12, 1], [60, 24, 1], [60, 36, 1], [60, 72, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [5, 12, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [10, 12, 1], [10, 24, 1], [12, 4, 1], [12, 8, 1], [12, 12, 1], [12, 24, 1], [15, 24, 1], [15, 72, 1], [20, 48, 1], [20, 96, 1], [30, 24, 1], [30, 48, 1], [30, 72, 1], [30, 144, 1], [60, 96, 1], [60, 192, 1], [60, 288, 1], [60, 576, 1]], 'label': '60.24.0.q.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '20.6.0.c.1', '60.24.0.q.1'], 'lattice_x': [3750, 5544, 2011, 5000, 8533, 6739], 'level': 60, 'level_is_squarefree': False, 'level_radical': 30, 'log_conductor': None, 'models': 1, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 3, 'num_known_degree1_noncm_points': 88, 'num_known_degree1_noncusp_points': 88, 'num_known_degree1_points': 89, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 6, 1], [4, 4, 1], [4, 8, 1], [5, 24, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [10, 24, 1], [10, 48, 1], [12, 8, 1], [12, 16, 1], [12, 24, 1], [12, 48, 1], [15, 48, 1], [15, 144, 1], [20, 96, 1], [20, 192, 1], [30, 48, 1], [30, 96, 1], [30, 144, 1], [30, 288, 1], [60, 192, 1], [60, 384, 1], [60, 576, 1], [60, 1152, 1]], 'parents': ['6.12.0.a.1', '20.6.0.c.1'], 'parents_conj': [[1, 47, 9, 32], [30, 17, 59, 21]], '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': ['1.1.0.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', '6.12.0.a.1', '6.12.0.a.1', '20.6.0.c.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 60.24.0.q.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*(15*x^2-64*y^2)^3*(375*x^6-4800*x^4*y^2+184320*x^2*y^4-262144*y^6)^3', 'y^4*x^36*(5*x^2-64*y^2)^3*(45*x^2-64*y^2)'], 'degree': 24, 'domain_label': '60.24.0.q.1', 'domain_model_type': 1, 'dont_display': False, 'factored': True, 'leading_coefficients': ['1', '2^12*5^6'], 'upload_id': None}
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modcurve_points • Show schema
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id: 4909
{'Elabel': '310.a3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 310, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '60.24.0.q.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 25.6045098797665, 'jinv': '-131794519969/3174400', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 4916
{'Elabel': '310.a4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 310, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '60.24.0.q.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 29.9677569584908, 'jinv': '10347405816671/7447750000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1824711
{'Elabel': None, 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': None, 'coordinates': {'1': ['-8/5,16/5:1,0']}, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '60.24.0.q.1', 'curve_level': 60, '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': '2.2.5.1', 'upload_id': None}
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id: 1848765
{'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': '60.24.0.q.1', 'curve_level': 60, '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: 556
{'Elabel': '20.a2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 20, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '60.24.0.q.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 16.8466323689272, 'jinv': '-20720464/15625', 'jorig': '-20720464/15625', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 586
{'Elabel': '20.a4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 20, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '60.24.0.q.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 9.96627454063489, 'jinv': '21296/25', 'jorig': '21296/25', 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 4118
{'Elabel': '220.a1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 220, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '60.24.0.q.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 32.6721166190966, 'jinv': '154639330142416/33275', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 4133
{'Elabel': '220.a3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 220, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '60.24.0.q.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 19.8939195164864, 'jinv': '436334416/171875', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 5973
{'Elabel': '410.a3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 410, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '60.24.0.q.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 33.6371228184273, 'jinv': '405897921250921/7057510400', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 5978
{'Elabel': '410.a4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 410, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '60.24.0.q.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 26.9769261976444, 'jinv': '519912412921/10250000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 12876
{'Elabel': '1140.d1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1140, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '60.24.0.q.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 37.6209025316995, 'jinv': '21804712949838544/8680921875', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 12888
{'Elabel': '1140.d3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1140, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '60.24.0.q.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 27.6162417060997, 'jinv': '985329269584/252434475', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 16110
{'Elabel': '1540.a1', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1540, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '60.24.0.q.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 42.6281825934778, 'jinv': '3259751350395879376/3806353980275', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 16125
{'Elabel': '1540.a3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1540, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '60.24.0.q.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 33.4297819887841, 'jinv': '329890530231376/49933296875', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 20542
{'Elabel': '2090.c2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2090, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '60.24.0.q.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 35.8202409226684, 'jinv': '3601910963276569/1618496000000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 20554
{'Elabel': '2090.c4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2090, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '60.24.0.q.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 33.7063335510083, 'jinv': '434985385981609/30179600', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 20765
{'Elabel': '2130.f2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2130, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '60.24.0.q.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 54.3476767217942, 'jinv': '-400770830496236396186089/1507590144000000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 20777
{'Elabel': '2130.f4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2130, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '60.24.0.q.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 39.7874661959944, 'jinv': '-190316752233854329/1217334910406400', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 28672
{'Elabel': '3190.b3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3190, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '60.24.0.q.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 32.9761990206776, 'jinv': '-209595169258201/112524368281600', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 28677
{'Elabel': '3190.b4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3190, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '60.24.0.q.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 26.3840202041503, 'jinv': '287365339799/154396000000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 65977
{'Elabel': '9790.j2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 9790, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '60.24.0.q.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 57.4921547393696, 'jinv': '9300912443143436579341249/5206375061035156250000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 65989
{'Elabel': '9790.j4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 9790, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '60.24.0.q.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 56.6304585145296, 'jinv': '3929123145025705846673089/10090811456000000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 72787
{'Elabel': '11210.a2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 11210, 'coordinates': None, 'curve_genus': 0, 'curve_index': 24, 'curve_label': '60.24.0.q.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 50.6333662750295, 'jinv': '9767683378792571448601/695236664125030400', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 72799
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