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gps_gl2zhat_fine • Show schema
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{'CPlabel': '4E0', 'Glabel': None, 'RSZBlabel': None, 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 5], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 4, 1], [1, 0, 60, 1], [1, 2, 24, 35], [1, 2, 28, 15], [1, 2, 48, 55], [1, 4, 0, 1], [1, 4, 10, 51], [1, 4, 14, 45], [1, 60, 0, 1], [31, 0, 30, 31], [59, 0, 0, 119], [61, 60, 60, 61], [115, 116, 64, 63], [119, 0, 90, 119]], 'cm_discriminants': [], 'coarse_class': '60.12.0.a', 'coarse_class_num': 1, 'coarse_index': 12, 'coarse_label': '60.12.0.a.1', 'coarse_level': 60, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 1]], 'cusp_widths': [[2, 2], [4, 2]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 5, 'generators': [[57, 8, 34, 109], [57, 16, 10, 9], [67, 94, 26, 51], [115, 108, 22, 101], [117, 86, 86, 21]], 'genus': 0, 'genus_minus_rank': None, 'has_obstruction': 0, 'index': 24, 'isogeny_orbits': [[2, 1, 3], [3, 4, 1], [4, 2, 3], [5, 6, 1], [6, 4, 3], [8, 4, 3], [10, 6, 3], [12, 8, 3], [15, 24, 1], [20, 12, 3], [24, 16, 3], [30, 24, 3], [40, 24, 3], [60, 48, 3], [120, 96, 3]], 'kummer_orbits': [[2, 1, 3], [3, 4, 1], [4, 2, 3], [5, 12, 1], [6, 4, 3], [8, 8, 3], [10, 12, 3], [12, 16, 3], [15, 96, 1], [20, 48, 3], [24, 64, 3], [30, 96, 3], [40, 192, 3], [60, 384, 3], [120, 1536, 3]], 'label': '120.24.0-60.a.1.5', 'lattice_labels': None, 'lattice_x': None, 'level': 120, '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': None, 'num_known_degree1_noncusp_points': None, 'num_known_degree1_points': None, 'obstructions': None, 'orbits': [[2, 1, 3], [3, 8, 1], [4, 4, 3], [5, 24, 1], [6, 8, 3], [8, 16, 3], [10, 24, 3], [12, 32, 3], [15, 192, 1], [20, 96, 3], [24, 128, 3], [30, 192, 3], [40, 384, 3], [60, 768, 3], [120, 3072, 3]], 'parents': ['24.12.0-2.a.1.2', '40.12.0-2.a.1.1'], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 12, 'psl2label': '4.12.0.a.1', 'psl2level': 4, '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', '1.1.0.a.1', '1.1.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '24.12.0-2.a.1.2', '40.12.0-2.a.1.1', '60.12.0.a.1'], 'scalar_label': '4.2.1', 'simple': None, 'sl2label': '4.12.0.a.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': None, 'traces': None}
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gps_gl2zhat_fine • Show schema
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{'CPlabel': '4E0', 'Glabel': None, 'RSZBlabel': '60.12.0.4', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 3, 5], 'canonical_conjugator': [49, 23, 30, 1], 'canonical_generators': [[1, 0, 4, 1], [1, 0, 30, 1], [1, 2, 24, 35], [1, 2, 28, 15], [1, 2, 48, 55], [1, 4, 0, 1], [1, 4, 10, 51], [1, 4, 14, 45], [5, 4, 56, 57], [31, 0, 30, 31]], 'cm_discriminants': [], 'coarse_class': '60.12.0.a', 'coarse_class_num': 1, 'coarse_index': 12, 'coarse_label': '60.12.0.a.1', 'coarse_level': 60, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2], [2, 1]], 'cusp_widths': [[2, 2], [4, 2]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[21, 40, 40, 3], [25, 38, 22, 57], [41, 4, 20, 17], [41, 6, 36, 25], [51, 10, 20, 57]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'index': 12, 'isogeny_orbits': [[2, 1, 3], [3, 4, 1], [4, 2, 3], [5, 6, 1], [6, 4, 3], [10, 6, 3], [12, 8, 3], [15, 24, 1], [20, 12, 3], [30, 24, 3], [60, 48, 3]], 'kummer_orbits': [[2, 1, 3], [3, 4, 1], [4, 2, 3], [5, 12, 1], [6, 4, 3], [10, 12, 3], [12, 16, 3], [15, 96, 1], [20, 48, 3], [30, 96, 3], [60, 384, 3]], 'label': '60.12.0.a.1', 'lattice_labels': ['1.1.0.a.1', '2.2.0.a.1', '2.3.0.a.1', '2.6.0.a.1', '60.6.0.b.1', '60.6.0.e.1', '60.12.0.a.1'], 'lattice_x': [3921, 1806, 6035, 2203, 8811, 5639, 5639], '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': 472, 'num_known_degree1_noncusp_points': 472, 'num_known_degree1_points': 473, 'obstructions': [], 'orbits': [[2, 1, 3], [3, 8, 1], [4, 4, 3], [5, 24, 1], [6, 8, 3], [10, 24, 3], [12, 32, 3], [15, 192, 1], [20, 96, 3], [30, 192, 3], [60, 768, 3]], 'parents': ['2.6.0.a.1', '60.6.0.b.1', '60.6.0.e.1'], 'parents_conj': [[1, 0, 0, 1], [44, 13, 19, 9], [32, 13, 37, 9]], 'pointless': False, 'power': None, 'psl2index': 12, 'psl2label': '4.12.0.a.1', 'psl2level': 4, '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', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.12.0.a.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}
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modcurve 60.12.0.a.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': ['(15*x+4*y)^12*(225*x^4-15360*x^2*y^2+1048576*y^4)^3', 'y^4*x^4*(15*x+4*y)^12*(15*x^2-1024*y^2)^2'], 'degree': 12, 'domain_label': '60.12.0.a.1', 'domain_model_type': 1, 'dont_display': False, 'factored': True, 'leading_coefficients': ['1', '2^12*3^2*5^2'], 'upload_id': None}
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modcurve_points • Show schema
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id: 419
{'Elabel': '15.a6', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 15, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '60.12.0.a.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 16.454390800472, 'jinv': '13997521/225', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 1848747
{'Elabel': None, 'ainvs': None, 'cardinality': 2, 'cm': 0, 'conductor_norm': None, 'coordinates': {'1': ['-4/15:1', '0:1']}, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '60.12.0.a.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: 3780
{'Elabel': '210.c5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 210, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '60.12.0.a.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 24.3599814831753, 'jinv': '37966934881/8643600', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 5233
{'Elabel': '330.d5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 330, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '60.12.0.a.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 32.4110076824313, 'jinv': '119102750067601/68309049600', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 6717
{'Elabel': '480.b3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 480, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '60.12.0.a.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 12.992200020859, 'jinv': '438976/225', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 8101
{'Elabel': '645.d3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 645, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '60.12.0.a.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 22.9333222846697, 'jinv': '9116230969/416025', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 9746
{'Elabel': '795.d3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 795, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '60.12.0.a.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 25.532921674807, 'jinv': '122689385209/51194025', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 10106
{'Elabel': '840.b3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 840, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '60.12.0.a.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 16.8466323689272, 'jinv': '20720464/11025', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 10317
{'Elabel': '840.g2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 840, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '60.12.0.a.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 21.9078672731945, 'jinv': '3269383504/893025', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 11310
{'Elabel': '930.o2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 930, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '60.12.0.a.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 41.2047263321158, 'jinv': '785209010066844481/3324675600', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 13059
{'Elabel': '1155.j2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1155, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '60.12.0.a.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 28.1601830678458, 'jinv': '1697509118089/833765625', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 13095
{'Elabel': '1155.l3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1155, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '60.12.0.a.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 26.1818760876289, 'jinv': '234770924809/1334025', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 14782
{'Elabel': '1320.g2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1320, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '60.12.0.a.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 18.3680798160373, 'jinv': '94875856/27225', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 16651
{'Elabel': '1590.c2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1590, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '60.12.0.a.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 48.2326986534134, 'jinv': '885512859588017161129/1011240000000000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 18072
{'Elabel': '1785.b2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1785, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '60.12.0.a.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 29.1006237034521, 'jinv': '4347507044161/258084225', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 18103
{'Elabel': '1785.d3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1785, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '60.12.0.a.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 33.5432892959268, 'jinv': '369543396484081/45120132225', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 18599
{'Elabel': '1830.g5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1830, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '60.12.0.a.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 49.6460946473654, 'jinv': '3639359463108865006321/127603270656000000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 19658
{'Elabel': '1995.c5', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 1995, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '60.12.0.a.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 51.1340556222303, 'jinv': '16115292555782480096401/8557487595112640625', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 19839
{'Elabel': '2010.a3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2010, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '60.12.0.a.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 30.7718199805225, 'jinv': '23122331094169/10100250000', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 20095
{'Elabel': '2040.b2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2040, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '60.12.0.a.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 31.367468077765, 'jinv': '41948679809104/3291890625', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 20207
{'Elabel': '2040.k3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2040, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '60.12.0.a.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 20.3378044888471, 'jinv': '680136784/65025', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 20834
{'Elabel': '2130.k2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2130, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '60.12.0.a.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 28.5712898637603, 'jinv': '2560669500241/1469955600', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 22457
{'Elabel': '2310.f3', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2310, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '60.12.0.a.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 34.0045884782899, 'jinv': '586145095611769/140040608400', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 22765
{'Elabel': '2310.o4', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2310, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '60.12.0.a.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 58.2154044692601, 'jinv': '19170300594578891358373921/671785075055001600', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 23793
{'Elabel': '2445.c2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2445, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '60.12.0.a.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 32.2097769255233, 'jinv': '97393143178729/39221822025', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 26426
{'Elabel': '2805.d2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 2805, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '60.12.0.a.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 45.8974542997277, 'jinv': '85705982088578117209/2613369421265625', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 28370
{'Elabel': '3135.e2', 'ainvs': None, 'cardinality': None, 'cm': 0, 'conductor_norm': 3135, 'coordinates': None, 'curve_genus': 0, 'curve_index': 12, 'curve_label': '60.12.0.a.1', 'curve_level': 60, 'curve_name': None, 'cusp': False, 'degree': 1, 'isolated': -2, 'j_field': '1.1.1.1', 'j_height': 34.5769623328409, 'jinv': '1038924390371041/429306696225', 'jorig': None, 'quo_info': None, 'residue_field': '1.1.1.1', 'upload_id': None}
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id: 29805
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id: 63080
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id: 145277
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id: 768937
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id: 791873
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id: 793431
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id: 795618
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id: 796618
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id: 849159
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id: 858828
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id: 860113
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id: 1250723
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id: 1257108
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id: 1257651
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