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{'Nk2': 30600, 'analytic_conductor': 61.085557546279496, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 1], [17, -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': [7650, 1, [5951, 6427, 5851], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 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': [[7, [0, 1]], [11, [4, 1]], [13, [2, 1]], [19, [4, 1]], [23, [-4, 1]], [29, [2, 1]]], 'hecke_orbit': 49, 'hecke_orbit_code': 216172782147345890, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '7650.2.a.bw', 'level': 7650, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 17], 'level_radical': 510, 'minimal_twist': '510.2.a.f', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}+q^{8}-4q^{11}-2q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/7650/bw'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7650.2.a', 'trace_display': [1, 0, 0, 0], 'trace_hash': 1485675524287374811, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.002', 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mf_newspaces • Show schema
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{'ALdims': [5, 7, 9, 5, 8, 10, 10, 10, 7, 5, 5, 9, 7, 11, 12, 8], 'Nk2': 30600, 'analytic_conductor': 61.085557546279496, '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': [7650, 1, [5951, 6427, 5851], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1573, 'dim': 128, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 19, 23, 29], 'hecke_orbit_code': 33562082, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3], 'label': '7650.2.a', 'level': 7650, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 17], 'level_radical': 510, 'mf_dim': 1668, 'mf_new_dim': 128, 'num_forms': 94, 'plus_dim': 55, 'prim_orbit_index': 1, 'relative_dim': 128, 'sturm_bound': 3240, 'trace_bound': 29, 'trace_display': [0, 0, 0, -4], 'traces': [128, 0, 0, 128, 0, 0, -4, 0, 0, 0, 2, 0, -4, -4, 0, 128, 2, 0, 16, 0, 0, -6, -8, 0, 0, 4, 0, -4, 10, 0, 20, 0, 0, 2, 0, 0, 30, -16, 0, 0, -4, 0, 12, 2, 0, 16, 16, 0, 160, 0, 0, -4, -12, 0, 0, -4, 0, 10, 36, 0, 34, 20, 0, 128, 0, 0, 4, 2, 0, 0, 72, 0, -8, -34, 0, 16, -24, 0, 64, 0, 0, 12, -12, 0, 0, -4, 0, -6, 56, 0, 40, -8, 0, 24, 0, 0, 44, 0, 0, 0, -20, 0, -8, 4, 0, -12, 2, 0, -2, 0, 0, -4, -24, 0, 0, 10, 0, -4, -4, 0, 140, -14, 0, 20, 0, 0, 96, 0, 0, 0, -34, 0, -16, 76, 0, 2, -36, 0, -6, 0, 0, 16, 28, 0, 0, -40, 0, 30, -24, 0, 88, -16, 0, 16, 0, 0, 16, 8, 0, 0, 0, 0, 14, -4, 0, 52, 44, 0, 32, 0, 0, 12, 22, 0, 0, 2, 0, -40, 56, 0, -38, 24, 0, 16, 0, 0, 6, 16, 0, 0, -24, 0, -76, 12, 0, 160, 2, 0, 32, 0, 0, -44, -72, 0, 0, 104, 0, -4, 8, 0, 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-48, 0, 192, 20, 0, -184, 0, 0, -170, -106, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49029582
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 216172782147345890, 'source_is_minimal': False, 'source_label': '7650.2.a.bw.1.1', 'source_level': 7650, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 216172782147345890, 'target_is_minimal': False, 'target_label': '7650.2.a.bw.1.1', 'target_level': 7650, 'twist_class_label': '510.2.a.f.1.1', 'twist_class_level': 510, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49029583
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 216172782147345890, 'source_is_minimal': False, 'source_label': '7650.2.a.bw.1.1', 'source_level': 7650, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915668470, 'target_is_minimal': False, 'target_label': '2550.2.a.d.1.1', 'target_level': 2550, 'twist_class_label': '510.2.a.f.1.1', 'twist_class_level': 510, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49029584
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 216172782147345890, 'source_is_minimal': False, 'source_label': '7650.2.a.bw.1.1', 'source_level': 7650, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170408442, 'target_is_minimal': False, 'target_label': '1530.2.a.f.1.1', 'target_level': 1530, 'twist_class_label': '510.2.a.f.1.1', 'twist_class_level': 510, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49029585
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 216172782147345890, 'source_is_minimal': False, 'source_label': '7650.2.a.bw.1.1', 'source_level': 7650, 'target_conrey_index': 2449, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064999484656118, 'target_is_minimal': False, 'target_label': '2550.2.d.s.2449.1', 'target_level': 2550, 'twist_class_label': '510.2.a.f.1.1', 'twist_class_level': 510, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49029586
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 216172782147345890, 'source_is_minimal': False, 'source_label': '7650.2.a.bw.1.1', 'source_level': 7650, 'target_conrey_index': 2449, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81064999484656118, 'target_is_minimal': False, 'target_label': '2550.2.d.s.2449.2', 'target_level': 2550, 'twist_class_label': '510.2.a.f.1.1', 'twist_class_level': 510, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 49029587
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 216172782147345890, 'source_is_minimal': False, 'source_label': '7650.2.a.bw.1.1', 'source_level': 7650, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170407422, 'target_is_minimal': True, 'target_label': '510.2.a.f.1.1', 'target_level': 510, 'twist_class_label': '510.2.a.f.1.1', 'twist_class_level': 510, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 49029588
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 216172782147345890, 'source_is_minimal': False, 'source_label': '7650.2.a.bw.1.1', 'source_level': 7650, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288299504, 'target_is_minimal': False, 'target_label': '4080.2.a.c.1.1', 'target_level': 4080, 'twist_class_label': '510.2.a.f.1.1', 'twist_class_level': 510, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 49029589
{'conductor': 255, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 216172782147345890, 'source_is_minimal': False, 'source_label': '7650.2.a.bw.1.1', 'source_level': 7650, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698861534, 'target_is_minimal': False, 'target_label': '8670.2.a.r.1.1', 'target_level': 8670, 'twist_class_label': '510.2.a.f.1.1', 'twist_class_level': 510, 'twisting_char_label': '255.254', 'twisting_conrey_index': 254, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4535675
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 216172782147345890, 'p': 2}
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id: 4535676
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 216172782147345890, 'p': 3}
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id: 4535677
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 216172782147345890, 'p': 5}
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id: 4535678
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 216172782147345890, 'p': 7}
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id: 4535679
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 216172782147345890, 'p': 11}
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id: 4535680
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 216172782147345890, 'p': 13}
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id: 4535681
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 216172782147345890, 'p': 17}
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id: 4535682
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 216172782147345890, 'p': 19}
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id: 4535683
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 216172782147345890, 'p': 23}
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id: 4535684
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 216172782147345890, 'p': 29}
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id: 4535685
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 216172782147345890, 'p': 31}
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id: 4535686
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 216172782147345890, 'p': 37}
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id: 4535687
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 216172782147345890, 'p': 41}
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id: 4535688
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 216172782147345890, 'p': 43}
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id: 4535689
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 216172782147345890, 'p': 47}
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id: 4535690
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 216172782147345890, 'p': 53}
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id: 4535691
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 216172782147345890, 'p': 59}
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id: 4535692
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 216172782147345890, 'p': 61}
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id: 4535693
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 216172782147345890, 'p': 67}
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id: 4535694
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 216172782147345890, 'p': 71}
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id: 4535695
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 216172782147345890, 'p': 73}
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id: 4535696
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 216172782147345890, 'p': 79}
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id: 4535697
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 216172782147345890, 'p': 83}
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id: 4535698
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 216172782147345890, 'p': 89}
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id: 4535699
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 216172782147345890, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 49, 'label': '7650.2.a.bw', 'level': 7650, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71460043
{'hecke_orbit_code': 216172782147345890, 'n': 1, 'trace_an': 1}
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id: 71460044
{'hecke_orbit_code': 216172782147345890, 'n': 2, 'trace_an': 1}
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id: 71460045
{'hecke_orbit_code': 216172782147345890, 'n': 3, 'trace_an': 0}
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id: 71460046
{'hecke_orbit_code': 216172782147345890, 'n': 4, 'trace_an': 1}
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id: 71460047
{'hecke_orbit_code': 216172782147345890, 'n': 5, 'trace_an': 0}
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id: 71460048
{'hecke_orbit_code': 216172782147345890, 'n': 6, 'trace_an': 0}
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id: 71460049
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