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{'Nk2': 7840, 'analytic_conductor': 15.650678796170956, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 1], [7, -1]], 'atkin_lehner_string': '++-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1960, 1, [1471, 981, 1177, 1081], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-1, 1]], [11, [-3, 1]], [13, [1, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532396679890856, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1960.2.a.j', 'level': 1960, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'minimal_twist': '1960.2.a.f', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-q^{5}-2q^{9}+3q^{11}-q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/1960/j'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1960.2.a', 'trace_display': [0, 1, -1, 0], 'trace_hash': 2103937550099650352, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.003', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.991', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.025', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.952', 'prec': 17}, 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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, 1], [7, -1]], 6, 4], [[[2, -1], [5, -1], [7, -1]], 6, 5], [[[2, 1], [5, -1], [7, -1]], 3, 3], [[[2, 1], [5, 1], [7, 1]], 5, 2], [[[2, 1], [5, -1], [7, 1]], 7, 2], [[[2, -1], [5, -1], [7, 1]], 4, 2], [[[2, -1], [5, 1], [7, -1]], 6, 4], [[[2, -1], [5, 1], [7, 1]], 4, 3]], 'ALdims': [5, 6, 7, 3, 4, 6, 4, 6], 'Nk2': 7840, 'analytic_conductor': 15.650678796170956, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1960, 1, [1471, 981, 1177, 1081], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 305, 'dim': 41, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11, 13], 'hecke_orbit_code': 33556392, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4], 'label': '1960.2.a', 'level': 1960, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 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mf_twists_cc • Show schema
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id: 46788180
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396679890856, 'source_is_minimal': True, 'source_label': '1960.2.a.j.1.1', 'source_level': 1960, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679890856, 'target_is_minimal': True, 'target_label': '1960.2.a.j.1.1', 'target_level': 1960, 'twist_class_label': '1960.2.a.f.1.1', 'twist_class_level': 1960, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46788181
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396679890856, 'source_is_minimal': True, 'source_label': '1960.2.a.j.1.1', 'source_level': 1960, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934633808, 'target_is_minimal': False, 'target_label': '3920.2.a.l.1.1', 'target_level': 3920, 'twist_class_label': '1960.2.a.f.1.1', 'twist_class_level': 1960, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46788182
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396679890856, 'source_is_minimal': True, 'source_label': '1960.2.a.j.1.1', 'source_level': 1960, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568392953603656, 'target_is_minimal': False, 'target_label': '9800.2.a.t.1.1', 'target_level': 9800, 'twist_class_label': '1960.2.a.f.1.1', 'twist_class_level': 1960, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46788183
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396679890856, 'source_is_minimal': True, 'source_label': '1960.2.a.j.1.1', 'source_level': 1960, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22519097682036648, 'target_is_minimal': False, 'target_label': '1960.2.q.f.361.1', 'target_level': 1960, 'twist_class_label': '1960.2.a.f.1.1', 'twist_class_level': 1960, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46788184
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396679890856, 'source_is_minimal': True, 'source_label': '1960.2.a.j.1.1', 'source_level': 1960, 'target_conrey_index': 961, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40533496191518632, 'target_is_minimal': False, 'target_label': '1960.2.q.j.961.1', 'target_level': 1960, 'twist_class_label': '1960.2.a.f.1.1', 'twist_class_level': 1960, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46788185
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396679890856, 'source_is_minimal': True, 'source_label': '1960.2.a.j.1.1', 'source_level': 1960, 'target_conrey_index': 961, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22519097682036648, 'target_is_minimal': False, 'target_label': '1960.2.q.f.961.1', 'target_level': 1960, 'twist_class_label': '1960.2.a.f.1.1', 'twist_class_level': 1960, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46788186
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396679890856, 'source_is_minimal': True, 'source_label': '1960.2.a.j.1.1', 'source_level': 1960, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40533496191518632, 'target_is_minimal': False, 'target_label': '1960.2.q.j.361.1', 'target_level': 1960, 'twist_class_label': '1960.2.a.f.1.1', 'twist_class_level': 1960, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46788187
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396679890856, 'source_is_minimal': True, 'source_label': '1960.2.a.j.1.1', 'source_level': 1960, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170408872, 'target_is_minimal': True, 'target_label': '1960.2.a.f.1.1', 'target_level': 1960, 'twist_class_label': '1960.2.a.f.1.1', 'twist_class_level': 1960, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 46788188
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396679890856, 'source_is_minimal': True, 'source_label': '1960.2.a.j.1.1', 'source_level': 1960, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582791463079760, 'target_is_minimal': False, 'target_label': '3920.2.a.x.1.1', 'target_level': 3920, 'twist_class_label': '1960.2.a.f.1.1', 'twist_class_level': 1960, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 46788189
{'conductor': 35, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 40532396679890856, 'source_is_minimal': True, 'source_label': '1960.2.a.j.1.1', 'source_level': 1960, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 130604389227308616, 'target_is_minimal': False, 'target_label': '9800.2.a.bd.1.1', 'target_level': 9800, 'twist_class_label': '1960.2.a.f.1.1', 'twist_class_level': 1960, 'twisting_char_label': '35.34', 'twisting_conrey_index': 34, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2332500
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679890856, 'p': 2}
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id: 2332501
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 40532396679890856, 'p': 3}
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id: 2332502
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 40532396679890856, 'p': 5}
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id: 2332503
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679890856, 'p': 7}
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id: 2332504
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 40532396679890856, 'p': 11}
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id: 2332505
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 40532396679890856, 'p': 13}
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id: 2332506
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 40532396679890856, 'p': 17}
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id: 2332507
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 40532396679890856, 'p': 19}
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id: 2332508
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679890856, 'p': 23}
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id: 2332509
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 40532396679890856, 'p': 29}
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id: 2332510
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 40532396679890856, 'p': 31}
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id: 2332511
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 40532396679890856, 'p': 37}
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id: 2332512
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 40532396679890856, 'p': 41}
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id: 2332513
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 40532396679890856, 'p': 43}
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id: 2332514
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 40532396679890856, 'p': 47}
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id: 2332515
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 40532396679890856, 'p': 53}
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id: 2332516
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 40532396679890856, 'p': 59}
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id: 2332517
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 40532396679890856, 'p': 61}
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id: 2332518
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 40532396679890856, 'p': 67}
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id: 2332519
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679890856, 'p': 71}
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id: 2332520
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 40532396679890856, 'p': 73}
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id: 2332521
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 40532396679890856, 'p': 79}
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id: 2332522
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 40532396679890856, 'p': 83}
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id: 2332523
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679890856, 'p': 89}
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id: 2332524
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 40532396679890856, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 10, 'label': '1960.2.a.j', 'level': 1960, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 203367000
{'hecke_orbit_code': 40532396679890856, 'n': 1, 'trace_an': 1}
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id: 203367001
{'hecke_orbit_code': 40532396679890856, 'n': 2, 'trace_an': 0}
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id: 203367002
{'hecke_orbit_code': 40532396679890856, 'n': 3, 'trace_an': 1}
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id: 203367003
{'hecke_orbit_code': 40532396679890856, 'n': 4, 'trace_an': 0}
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id: 203367004
{'hecke_orbit_code': 40532396679890856, 'n': 5, 'trace_an': -1}
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id: 203367005
{'hecke_orbit_code': 40532396679890856, 'n': 6, 'trace_an': 0}
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id: 203367006
{'hecke_orbit_code': 40532396679890856, 'n': 7, 'trace_an': 0}
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id: 203367007
{'hecke_orbit_code': 40532396679890856, 'n': 8, 'trace_an': 0}
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id: 203367991
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id: 203367992
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id: 203367993
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id: 203367994
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id: 203367995
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id: 203367996
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id: 203367997
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id: 203367998
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id: 203367999
{'hecke_orbit_code': 40532396679890856, 'n': 1000, 'trace_an': 0}