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mf_newforms • Show schema
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{'Nk2': 41616, 'analytic_conductor': 83.07635826294012, 'atkin_lehner_eigenvals': [[2, -1], [3, 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': [10404, 1, [5203, 8093, 9829], [6, 6, 6]], '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': -1, 'hecke_orbit': 6, 'hecke_orbit_code': 22517998170417316, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': -1, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'label': '10404.2.a.f', 'level': 10404, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 17], 'level_radical': 102, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-5q^{7}-7q^{13}-7q^{19}-5q^{25}-11q^{31}+\\cdots', 'related_objects': ['EllipticCurve/Q/10404/f'], 'relative_dim': 1, 'rm_discs': [], 'space_label': '10404.2.a', 'trace_display': [0, 0, 0, -5], 'traces': [1, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, -7, 0, 0, 0, 0, 0, -7, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, -11, 0, 0, 0, 0, 0, -11, 0, 0, 0, 0, 0, -13, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 35, 0, 0, 0, 0, 0, -5, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 10404.2.a.f does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 26, 19, 32, 36], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [35, 36, 36, 36, 18, 18, 18, 18], 'ALdims_old': [208, 215, 216, 208, 199, 198, 184, 188], 'Nk2': 41616, 'analytic_conductor': 83.07635826294012, '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': [10404, 1, [5203, 8093, 9829], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1729, 'dim': 113, 'eis_dim': 215, 'eis_new_dim': 0, 'hecke_orbit_code': 33564836, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 3, 3, 4, 4, 4, 6, 6, 6, 6, 8, 8, 8], 'label': '10404.2.a', 'level': 10404, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 17], 'level_radical': 102, 'mf_dim': 1944, 'mf_new_dim': 113, 'num_forms': 41, 'plus_dim': 51, 'prim_orbit_index': 1, 'relative_dim': 113, 'sturm_bound': 3672, 'trace_display': [0, 0, 0, -2], 'traces': [113, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, -2, 0, 0, 0, -6, 0, 109, 0, 0, 0, -8, 0, 6, 0, 0, 0, 4, 0, 2, 0, 0, 0, -12, 0, -6, 0, 0, 0, 6, 0, 123, 0, 0, 0, -2, 0, -6, 0, 0, 0, 10, 0, -14, 0, 0, 0, -32, 0, 14, 0, 0, 0, -6, 0, -10, 0, 0, 0, 18, 0, -6, 0, 0, 0, -16, 0, 0, 0, 0, 0, 38, 0, 16, 0, 0, 0, 24, 0, -2, 0, 0, 0, -28, 0, 4, 0, 0, 0, 26, 0, 38, 0, 0, 0, 28, 0, 4, 0, 0, 0, 0, 0, 121, 0, 0, 0, 0, 0, 20, 0, 0, 0, 2, 0, 48, 0, 0, 0, 22, 0, 34, 0, 0, 0, -16, 0, -26, 0, 0, 0, 0, 0, 20, 0, 0, 0, -40, 0, -44, 0, 0, 0, 16, 0, -2, 0, 0, 0, -46, 0, 129, 0, 0, 0, -40, 0, -6, 0, 0, 0, 42, 0, -34, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 2, 0, 0, 0, 40, 0, 30, 0, 0, 0, -70, 0, -32, 0, 0, 0, -16, 0, 10, 0, 0, 0, 64, 0, 66, 0, 0, 0, 0, 0, 156, 0, 0, 0, -46, 0, 86, 0, 0, 0, -28, 0, 16, 0, 0, 0, 24, 0, 6, 0, 0, 0, -40, 0, 78, 0, 0, 0, 64, 0, -42, 0, 0, 0, 2, 0, 62, 0, 0, 0, -16, 0, -32, 0, 0, 0, -72, 0, 44, 0, 0, 0, -74, 0, 46, 0, 0, 0, 32, 0, -66, 0, 0, 0, 6, 0, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, 24, 0, 8, 0, 0, 0, 84, 0, 78, 0, 0, 0, 42, 0, -54, 0, 0, 0, 32, 0, -46, 0, 0, 0, 0, 0, 116, 0, 0, 0, 16, 0, -102, 0, 0, 0, -24, 0, 46, 0, 0, 0, 36, 0, 32, 0, 0, 0, -30, 0, 82, 0, 0, 0, 114, 0, -10, 0, 0, 0, -40, 0, 55, 0, 0, 0, 0, 0, -74, 0, 0, 0, -92, 0, 128, 0, 0, 0, -16, 0, -98, 0, 0, 0, 68, 0, 0, 0, 0, 0, 134, 0, 0, 0, 0, 0, 56, 0, 2, 0, 0, 0, 52, 0, -40, 0, 0, 0, -128, 0, -16, 0, 0, 0, -24, 0, 104, 0, 0, 0, 46, 0, 68, 0, 0, 0, 0, 0, 110, 0, 0, 0, -30, 0, 238, 0, 0, 0, -24, 0, 98, 0, 0, 0, -24, 0, 16, 0, 0, 0, -36, 0, -92, 0, 0, 0, 66, 0, 134, 0, 0, 0, 30, 0, -50, 0, 0, 0, 56, 0, 40, 0, 0, 0, -96, 0, 58, 0, 0, 0, -26, 0, -12, 0, 0, 0, 210, 0, -10, 0, 0, 0, -20, 0, 0, 0, 0, 0, 58, 0, 50, 0, 0, 0, 70, 0, 72, 0, 0, 0, -22, 0, -52, 0, 0, 0, 72, 0, 72, 0, 0, 0, -20, 0, -46, 0, 0, 0, 0, 0, 195, 0, 0, 0, 16, 0, 32, 0, 0, 0, 22, 0, 6, 0, 0, 0, 210, 0, -2, 0, 0, 0, -32, 0, -64, 0, 0, 0, -38, 0, 98, 0, 0, 0, -102, 0, 0, 0, 0, 0, 30, 0, 2, 0, 0, 0, -42, 0, 10, 0, 0, 0, 24, 0, 12, 0, 0, 0, -236, 0, 8, 0, 0, 0, 2, 0, 0, 0, 0, 0, 32, 0, -38, 0, 0, 0, 88, 0, 46, 0, 0, 0, -84, 0, 166, 0, 0, 0, -12, 0, -138, 0, 0, 0, 64, 0, 141, 0, 0, 0, 0, 0, -84, 0, 0, 0, -56, 0, -52, 0, 0, 0, -60, 0, -10, 0, 0, 0, 38, 0, 72, 0, 0, 0, 8, 0, 30, 0, 0, 0, -184, 0, -10, 0, 0, 0, 30, 0, -32, 0, 0, 0, 24, 0, -142, 0, 0, 0, -48, 0, 198, 0, 0, 0, -86, 0, -16, 0, 0, 0, 202, 0, 38, 0, 0, 0, -24, 0, 0, 0, 0, 0, 46, 0, 64, 0, 0, 0, -64, 0, -10, 0, 0, 0, 12, 0, 16, 0, 0, 0, 82, 0, 120, 0, 0, 0, 32, 0, 76, 0, 0, 0, 0, 0, -50, 0, 0, 0, 0, 0, 40, 0, 0, 0, -50, 0, 136, 0, 0, 0, 40, 0, -14, 0, 0, 0, 24, 0, -80, 0, 0, 0, -26, 0, 30, 0, 0, 0, -42, 0, 114, 0, 0, 0, 98, 0, 58, 0, 0, 0, -24, 0, -12, 0, 0, 0, -8, 0, -14, 0, 0, 0, -40, 0, -76, 0, 0, 0, 306, 0, 0, 0, 0, 0, -304, 0, 0, 0, 0, 0, 36, 0, 10, 0, 0, 0, 194, 0, -22, 0, 0, 0, -40, 0, -6, 0, 0, 0, 14, 0, -84, 0, 0, 0, 0, 0, 200, 0, 0, 0, -18, 0, 133, 0, 0, 0, -80, 0, -62, 0, 0, 0, 214, 0, -46, 0, 0, 0, -28, 0, -30, 0, 0, 0, 48, 0, 62, 0, 0, 0, 60, 0, -142, 0, 0, 0, 56, 0, -62, 0, 0, 0, -68, 0, -176, 0, 0, 0, 54, 0, 152, 0, 0, 0, 56, 0, -72, 0, 0, 0, -24, 0, 0, 0, 0, 0, 338, 0, -74, 0, 0, 0, -50, 0, 16, 0, 0, 0, -26, 0, 156, 0, 0, 0, 48, 0, -226, 0, 0, 0, 4, 0, -302, 0, 0, 0, 0, 0, -140, 0, 0, 0, 32, 0, -146, 0, 0, 0, 86, 0, 12, 0, 0, 0, -26, 0, 72, 0, 0, 0, -24, 0, 191, 0, 0, 0, 60, 0, -276, 0, 0, 0, -52, 0, -12, 0, 0, 0, 224, 0, -24, 0, 0, 0, 82, 0, -46, 0, 0, 0, -24, 0, -182, 0, 0, 0, 10, 0, 66, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 10404.2.a.f does not appear in mf_twists_nf
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hecke_orbit_code 22517998170417316 does not appear in mf_hecke_charpolys
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label 10404.2.a.f does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 132729542
{'hecke_orbit_code': 22517998170417316, 'n': 1, 'trace_an': 1}
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id: 132729543
{'hecke_orbit_code': 22517998170417316, 'n': 2, 'trace_an': 0}
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id: 132729544
{'hecke_orbit_code': 22517998170417316, 'n': 3, 'trace_an': 0}
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id: 132729545
{'hecke_orbit_code': 22517998170417316, 'n': 4, 'trace_an': 0}
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id: 132729546
{'hecke_orbit_code': 22517998170417316, 'n': 5, 'trace_an': 0}
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id: 132729547
{'hecke_orbit_code': 22517998170417316, 'n': 6, 'trace_an': 0}
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id: 132729548
{'hecke_orbit_code': 22517998170417316, 'n': 7, 'trace_an': -5}
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id: 132729549
{'hecke_orbit_code': 22517998170417316, 'n': 8, 'trace_an': 0}
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id: 132729550
{'hecke_orbit_code': 22517998170417316, 'n': 9, 'trace_an': 0}
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id: 132729551
{'hecke_orbit_code': 22517998170417316, 'n': 10, 'trace_an': 0}
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id: 132729552
{'hecke_orbit_code': 22517998170417316, 'n': 11, 'trace_an': 0}
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id: 132729553
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id: 132729554
{'hecke_orbit_code': 22517998170417316, 'n': 13, 'trace_an': -7}
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id: 132729555
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id: 132729556
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id: 132729557
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id: 132729558
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id: 132729559
{'hecke_orbit_code': 22517998170417316, 'n': 18, 'trace_an': 0}
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id: 132729560
{'hecke_orbit_code': 22517998170417316, 'n': 19, 'trace_an': -7}
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id: 132729561
{'hecke_orbit_code': 22517998170417316, 'n': 20, 'trace_an': 0}
-
id: 132729562
{'hecke_orbit_code': 22517998170417316, 'n': 21, 'trace_an': 0}
-
id: 132729563
{'hecke_orbit_code': 22517998170417316, 'n': 22, 'trace_an': 0}
-
id: 132729564
{'hecke_orbit_code': 22517998170417316, 'n': 23, 'trace_an': 0}
-
id: 132729565
{'hecke_orbit_code': 22517998170417316, 'n': 24, 'trace_an': 0}
-
id: 132729566
{'hecke_orbit_code': 22517998170417316, 'n': 25, 'trace_an': -5}
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id: 132729567
{'hecke_orbit_code': 22517998170417316, 'n': 26, 'trace_an': 0}
-
id: 132729568
{'hecke_orbit_code': 22517998170417316, 'n': 27, 'trace_an': 0}
-
id: 132729569
{'hecke_orbit_code': 22517998170417316, 'n': 28, 'trace_an': 0}
-
id: 132729570
{'hecke_orbit_code': 22517998170417316, 'n': 29, 'trace_an': 0}
-
id: 132729571
{'hecke_orbit_code': 22517998170417316, 'n': 30, 'trace_an': 0}
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id: 132729572
{'hecke_orbit_code': 22517998170417316, 'n': 31, 'trace_an': -11}
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id: 132729573
{'hecke_orbit_code': 22517998170417316, 'n': 32, 'trace_an': 0}
-
id: 132729574
{'hecke_orbit_code': 22517998170417316, 'n': 33, 'trace_an': 0}
-
id: 132729575
{'hecke_orbit_code': 22517998170417316, 'n': 34, 'trace_an': 0}
-
id: 132729576
{'hecke_orbit_code': 22517998170417316, 'n': 35, 'trace_an': 0}
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id: 132729577
{'hecke_orbit_code': 22517998170417316, 'n': 36, 'trace_an': 0}
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id: 132729578
{'hecke_orbit_code': 22517998170417316, 'n': 37, 'trace_an': -11}
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id: 132729579
{'hecke_orbit_code': 22517998170417316, 'n': 38, 'trace_an': 0}
-
id: 132729580
{'hecke_orbit_code': 22517998170417316, 'n': 39, 'trace_an': 0}
-
id: 132729581
{'hecke_orbit_code': 22517998170417316, 'n': 40, 'trace_an': 0}
-
id: 132729582
{'hecke_orbit_code': 22517998170417316, 'n': 41, 'trace_an': 0}
-
id: 132729583
{'hecke_orbit_code': 22517998170417316, 'n': 42, 'trace_an': 0}
-
id: 132729584
{'hecke_orbit_code': 22517998170417316, 'n': 43, 'trace_an': -13}
-
id: 132729585
{'hecke_orbit_code': 22517998170417316, 'n': 44, 'trace_an': 0}
-
id: 132729586
{'hecke_orbit_code': 22517998170417316, 'n': 45, 'trace_an': 0}
-
id: 132729587
{'hecke_orbit_code': 22517998170417316, 'n': 46, 'trace_an': 0}
-
id: 132729588
{'hecke_orbit_code': 22517998170417316, 'n': 47, 'trace_an': 0}
-
id: 132729589
{'hecke_orbit_code': 22517998170417316, 'n': 48, 'trace_an': 0}
-
id: 132729590
{'hecke_orbit_code': 22517998170417316, 'n': 49, 'trace_an': 18}
-
id: 132729591
{'hecke_orbit_code': 22517998170417316, 'n': 50, 'trace_an': 0}
-
id: 132729592
{'hecke_orbit_code': 22517998170417316, 'n': 51, 'trace_an': 0}
-
id: 132729593
{'hecke_orbit_code': 22517998170417316, 'n': 52, 'trace_an': 0}
-
id: 132729594
{'hecke_orbit_code': 22517998170417316, 'n': 53, 'trace_an': 0}
-
id: 132729595
{'hecke_orbit_code': 22517998170417316, 'n': 54, 'trace_an': 0}
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id: 132729596
{'hecke_orbit_code': 22517998170417316, 'n': 55, 'trace_an': 0}
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id: 132729597
{'hecke_orbit_code': 22517998170417316, 'n': 56, 'trace_an': 0}
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id: 132729598
{'hecke_orbit_code': 22517998170417316, 'n': 57, 'trace_an': 0}
-
id: 132729599
{'hecke_orbit_code': 22517998170417316, 'n': 58, 'trace_an': 0}
-
id: 132729600
{'hecke_orbit_code': 22517998170417316, 'n': 59, 'trace_an': 0}
-
id: 132729601
{'hecke_orbit_code': 22517998170417316, 'n': 60, 'trace_an': 0}
-
id: 132729602
{'hecke_orbit_code': 22517998170417316, 'n': 61, 'trace_an': 13}
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id: 132729603
{'hecke_orbit_code': 22517998170417316, 'n': 62, 'trace_an': 0}
-
id: 132729604
{'hecke_orbit_code': 22517998170417316, 'n': 63, 'trace_an': 0}
-
id: 132729605
{'hecke_orbit_code': 22517998170417316, 'n': 64, 'trace_an': 0}
-
id: 132729606
{'hecke_orbit_code': 22517998170417316, 'n': 65, 'trace_an': 0}
-
id: 132729607
{'hecke_orbit_code': 22517998170417316, 'n': 66, 'trace_an': 0}
-
id: 132729608
{'hecke_orbit_code': 22517998170417316, 'n': 67, 'trace_an': 5}
-
id: 132729609
{'hecke_orbit_code': 22517998170417316, 'n': 68, 'trace_an': 0}
-
id: 132729610
{'hecke_orbit_code': 22517998170417316, 'n': 69, 'trace_an': 0}
-
id: 132729611
{'hecke_orbit_code': 22517998170417316, 'n': 70, 'trace_an': 0}
-
id: 132729612
{'hecke_orbit_code': 22517998170417316, 'n': 71, 'trace_an': 0}
-
id: 132729613
{'hecke_orbit_code': 22517998170417316, 'n': 72, 'trace_an': 0}
-
id: 132729614
{'hecke_orbit_code': 22517998170417316, 'n': 73, 'trace_an': 10}
-
id: 132729615
{'hecke_orbit_code': 22517998170417316, 'n': 74, 'trace_an': 0}
-
id: 132729616
{'hecke_orbit_code': 22517998170417316, 'n': 75, 'trace_an': 0}
-
id: 132729617
{'hecke_orbit_code': 22517998170417316, 'n': 76, 'trace_an': 0}
-
id: 132729618
{'hecke_orbit_code': 22517998170417316, 'n': 77, 'trace_an': 0}
-
id: 132729619
{'hecke_orbit_code': 22517998170417316, 'n': 78, 'trace_an': 0}
-
id: 132729620
{'hecke_orbit_code': 22517998170417316, 'n': 79, 'trace_an': 4}
-
id: 132729621
{'hecke_orbit_code': 22517998170417316, 'n': 80, 'trace_an': 0}
-
id: 132729622
{'hecke_orbit_code': 22517998170417316, 'n': 81, 'trace_an': 0}
-
id: 132729623
{'hecke_orbit_code': 22517998170417316, 'n': 82, 'trace_an': 0}
-
id: 132729624
{'hecke_orbit_code': 22517998170417316, 'n': 83, 'trace_an': 0}
-
id: 132729625
{'hecke_orbit_code': 22517998170417316, 'n': 84, 'trace_an': 0}
-
id: 132729626
{'hecke_orbit_code': 22517998170417316, 'n': 85, 'trace_an': 0}
-
id: 132729627
{'hecke_orbit_code': 22517998170417316, 'n': 86, 'trace_an': 0}
-
id: 132729628
{'hecke_orbit_code': 22517998170417316, 'n': 87, 'trace_an': 0}
-
id: 132729629
{'hecke_orbit_code': 22517998170417316, 'n': 88, 'trace_an': 0}
-
id: 132729630
{'hecke_orbit_code': 22517998170417316, 'n': 89, 'trace_an': 0}
-
id: 132729631
{'hecke_orbit_code': 22517998170417316, 'n': 90, 'trace_an': 0}
-
id: 132729632
{'hecke_orbit_code': 22517998170417316, 'n': 91, 'trace_an': 35}
-
id: 132729633
{'hecke_orbit_code': 22517998170417316, 'n': 92, 'trace_an': 0}
-
id: 132729634
{'hecke_orbit_code': 22517998170417316, 'n': 93, 'trace_an': 0}
-
id: 132729635
{'hecke_orbit_code': 22517998170417316, 'n': 94, 'trace_an': 0}
-
id: 132729636
{'hecke_orbit_code': 22517998170417316, 'n': 95, 'trace_an': 0}
-
id: 132729637
{'hecke_orbit_code': 22517998170417316, 'n': 96, 'trace_an': 0}
-
id: 132729638
{'hecke_orbit_code': 22517998170417316, 'n': 97, 'trace_an': -5}
-
id: 132729639
{'hecke_orbit_code': 22517998170417316, 'n': 98, 'trace_an': 0}
-
id: 132729640
{'hecke_orbit_code': 22517998170417316, 'n': 99, 'trace_an': 0}
-
id: 132729641
{'hecke_orbit_code': 22517998170417316, 'n': 100, 'trace_an': 0}