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{'Nk2': 4312, 'analytic_conductor': 8.607873337894025, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [7, 1], [11, 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': [1078, 1, [199, 981], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': 1, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [-2, 0, 1]], [5, [-2, 0, 1]], [13, [-8, 0, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72057594071483446, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1078.2.a.q', 'level': 1078, '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, 7, 11], 'level_radical': 154, 'minimal_twist': '1078.2.a.q', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+\\beta q^{3}+q^{4}-\\beta q^{5}-\\beta q^{6}-q^{8}+\\cdots', 'related_objects': ['EllipticCurve/2.0.7.1/23716.5/d', 'ModularForm/GL2/ImaginaryQuadratic/2.0.7.1/23716.5/d'], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1078.2.a', 'trace_display': [-2, 0, 0, 0], 'trace_hash': 2224976069654773977, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [-1, 0], [0, 1], [1, 0], [0, -1], [0, -1], [0, 0], [-1, 0], [-1, 0], [0, 1], [-1, 0], [0, 1], [0, -2], [0, 0], [-2, 0], [1, 0], [0, 4], [1, 0], [0, -2], [0, -1], [0, 0], [1, 0], [-2, 0], [0, -1], [-3, 0], [0, 2], [0, -4], [0, 0], [-6, 0], [2, 0], [0, 1], [-1, 0], [0, -1], [0, -4], [0, 0], [-1, 0], [-2, 0], [0, 2], [-4, 0], [0, 1], [0, -4], [0, 0], [4, 0], [-1, 0], [0, 1], [2, 0], [0, -3], [0, 1], [0, 0], [3, 0], [8, 0], [0, -2], [-12, 0], [0, 4], [0, 1], [0, 0], [-4, 0], [6, 0], [0, -3], [-2, 0], [0, 4], [0, -1], [0, 0], [1, 0], [4, 0], [0, 1], [-2, 0], [0, 4], [0, -2], [0, 0], [-10, 0], [1, 0], [0, 10], [2, 0], [0, -3], [0, -2], [0, 0], [4, 0], [-8, 0], [0, -1], [-5, 0], [0, 4], [0, 2], [0, 0], [-8, 0], [-4, 0], [0, -6], [1, 0], [0, 5], [0, -1], [0, 0], [-2, 0], [2, 0], [0, 3], [4, 0], [0, -1], [0, 11], [0, 0], [1, 0], [-3, 0]], 'ap': [[-1, 0], [0, 1], [0, -1], [0, 0], [-1, 0], [0, -2], [0, 4], [0, -2], [-2, 0], [-6, 0], [0, 1], [-2, 0], [0, -4], [4, 0], [0, -3], [-12, 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'hecke_ring_rank': 2, 'label': '1078.2.a.q', 'level': 1078, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [4, 4, 5, 5, 6, 2, 3, 6], 'Nk2': 4312, 'analytic_conductor': 8.607873337894025, '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': [1078, 1, [199, 981], [1, 1]], 'conrey_index': 1, 'cusp_dim': 153, 'dim': 35, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 13], 'hecke_orbit_code': 33555510, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'label': '1078.2.a', 'level': 1078, '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, 7, 11], 'level_radical': 154, 'mf_dim': 184, 'mf_new_dim': 35, 'num_forms': 24, 'plus_dim': 14, 'prim_orbit_index': 1, 'relative_dim': 35, 'sturm_bound': 336, 'trace_bound': 23, 'trace_display': [-1, 0, -2, 0], 'traces': [35, -1, 0, 35, -2, 4, 0, -1, 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mf_twists_nf • Show schema
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id: 638100
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '1078.2.a.q', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': True, 'target_label': '1078.2.a.q', 'target_level': 1078, 'twist_class_label': '1078.2.a.q', 'twist_class_level': 1078, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 638101
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '1078.2.a.q', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': True, 'target_label': '1078.2.a.q', 'target_level': 1078, 'twist_class_label': '1078.2.a.q', 'twist_class_level': 1078, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 638102
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '1078.2.a.q', 'source_level': 1078, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1078.2.e.s', 'target_level': 1078, 'twist_class_label': '1078.2.a.q', 'twist_class_level': 1078, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 638103
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '1078.2.a.q', 'source_level': 1078, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1078.2.e.s', 'target_level': 1078, 'twist_class_label': '1078.2.a.q', 'twist_class_level': 1078, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 638104
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '1078.2.a.q', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 49, 'target_is_minimal': False, 'target_label': '8624.2.a.bw', 'target_level': 8624, 'twist_class_label': '1078.2.a.q', 'twist_class_level': 1078, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 638105
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '1078.2.a.q', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 49, 'target_is_minimal': False, 'target_label': '8624.2.a.bw', 'target_level': 8624, 'twist_class_label': '1078.2.a.q', 'twist_class_level': 1078, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 638106
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '1078.2.a.q', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 95, 'target_is_minimal': False, 'target_label': '9702.2.a.dq', 'target_level': 9702, 'twist_class_label': '1078.2.a.q', 'twist_class_level': 1078, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 638107
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '1078.2.a.q', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 95, 'target_is_minimal': False, 'target_label': '9702.2.a.dq', 'target_level': 9702, 'twist_class_label': '1078.2.a.q', 'twist_class_level': 1078, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1658325
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 72057594071483446, 'p': 2}
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id: 1658326
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 72057594071483446, 'p': 3}
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id: 1658327
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 72057594071483446, 'p': 5}
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id: 1658328
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 72057594071483446, 'p': 7}
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id: 1658329
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 72057594071483446, 'p': 11}
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id: 1658330
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 72057594071483446, 'p': 13}
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id: 1658331
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 72057594071483446, 'p': 17}
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id: 1658332
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 72057594071483446, 'p': 19}
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id: 1658333
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 72057594071483446, 'p': 23}
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id: 1658334
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 72057594071483446, 'p': 29}
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id: 1658335
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 72057594071483446, 'p': 31}
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id: 1658336
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 72057594071483446, 'p': 37}
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id: 1658337
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 72057594071483446, 'p': 41}
-
id: 1658338
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 72057594071483446, 'p': 43}
-
id: 1658339
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 72057594071483446, 'p': 47}
-
id: 1658340
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 72057594071483446, 'p': 53}
-
id: 1658341
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 72057594071483446, 'p': 59}
-
id: 1658342
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 72057594071483446, 'p': 61}
-
id: 1658343
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 72057594071483446, 'p': 67}
-
id: 1658344
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 72057594071483446, 'p': 71}
-
id: 1658345
{'charpoly_factorization': [[[-200, 0, 1], 1]], 'hecke_orbit_code': 72057594071483446, 'p': 73}
-
id: 1658346
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 72057594071483446, 'p': 79}
-
id: 1658347
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 72057594071483446, 'p': 83}
-
id: 1658348
{'charpoly_factorization': [[[-50, 0, 1], 1]], 'hecke_orbit_code': 72057594071483446, 'p': 89}
-
id: 1658349
{'charpoly_factorization': [[[-242, 0, 1], 1]], 'hecke_orbit_code': 72057594071483446, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 17, 'label': '1078.2.a.q', 'level': 1078, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 61275235
{'hecke_orbit_code': 72057594071483446, 'n': 1, 'trace_an': 2}
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id: 61275236
{'hecke_orbit_code': 72057594071483446, 'n': 2, 'trace_an': -2}
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id: 61275237
{'hecke_orbit_code': 72057594071483446, 'n': 3, 'trace_an': 0}
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id: 61275238
{'hecke_orbit_code': 72057594071483446, 'n': 4, 'trace_an': 2}
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id: 61275239
{'hecke_orbit_code': 72057594071483446, 'n': 5, 'trace_an': 0}
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id: 61275240
{'hecke_orbit_code': 72057594071483446, 'n': 6, 'trace_an': 0}
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id: 61275241
{'hecke_orbit_code': 72057594071483446, 'n': 7, 'trace_an': 0}
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id: 61275242
{'hecke_orbit_code': 72057594071483446, 'n': 8, 'trace_an': -2}
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id: 61275243
{'hecke_orbit_code': 72057594071483446, 'n': 9, 'trace_an': -2}
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id: 61275244
{'hecke_orbit_code': 72057594071483446, 'n': 10, 'trace_an': 0}
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id: 61275245
{'hecke_orbit_code': 72057594071483446, 'n': 11, 'trace_an': -2}
-
id: 61275246
{'hecke_orbit_code': 72057594071483446, 'n': 12, 'trace_an': 0}
-
id: 61275247
{'hecke_orbit_code': 72057594071483446, 'n': 13, 'trace_an': 0}
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