-
mf_newforms • Show schema
Hide schema
{'Nk2': 104544, 'analytic_conductor': 208.69701072281842, 'atkin_lehner_eigenvals': [[2, 1], [3, -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': [26136, 1, [6535, 13069, 19361, 23113], [6, 6, 6, 6]], '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': -1, 'hecke_orbit': 6, 'hecke_orbit_code': 22517998170433048, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': -1, 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'label': '26136.2.a.f', 'level': 26136, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 11], 'level_radical': 66, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-3q^{5}-4q^{7}-3q^{13}-3q^{17}-4q^{19}+\\cdots', 'related_objects': ['EllipticCurve/Q/26136/f'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '26136.2.a', 'trace_display': [0, 0, -3, -4], 'traces': [1, 0, 0, 0, -3, 0, -4, 0, 0, 0, 0, 0, -3, 0, 0, 0, -3, 0, -4, 0, 0, 0, -7, 0, 4, 0, 0, 0, -2, 0, -10, 0, 0, 0, 12, 0, 8, 0, 0, 0, 7, 0, 6, 0, 0, 0, 8, 0, 9, 0, 0, 0, 1, 0, 0, 0, 0, 0, 10, 0, -1, 0, 0, 0, 9, 0, 13, 0, 0, 0, 12, 0, 2, 0, 0, 0, 0, 0, -5, 0, 0, 0, -11, 0, 9, 0, 0, 0, 6, 0, 12, 0, 0, 0, 12, 0, 17, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
-
label 26136.2.a.f does not appear in mf_hecke_nf
-
mf_newspaces • Show schema
Hide schema
{'ALdims': [55, 55, 53, 55, 59, 50, 49, 60], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [35, 36, 36, 36, 36, 36, 36, 36], 'ALdims_old': [510, 529, 529, 517, 529, 518, 521, 520], 'Nk2': 104544, 'analytic_conductor': 208.69701072281842, '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': [26136, 1, [6535, 13069, 19361, 23113], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 4609, 'dim': 436, 'eis_dim': 287, 'eis_new_dim': 0, 'hecke_orbit_code': 33580568, '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, 2, 2, 2, 2, 2, 2, 2, 2, 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, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 14, 14, 14, 14], 'label': '26136.2.a', 'level': 26136, 'level_is_powerful': True, '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, 11], 'level_radical': 66, 'mf_dim': 4896, 'mf_new_dim': 436, 'num_forms': 110, 'plus_dim': 209, 'prim_orbit_index': 1, 'relative_dim': 436, 'sturm_bound': 9504, 'trace_display': [0, 0, 0, 4], 'traces': [436, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 442, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 436, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -34, 0, 0, 0, 0, 0, -62, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 422, 0, 0, 0, 0, 0, 94, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, 78, 0, 0, 0, 0, 0, -50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -78, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 428, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 94, 0, 0, 0, 0, 0, 118, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 502, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, -98, 0, 0, 0, 0, 0, 190, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, -94, 0, 0, 0, 0, 0, 66, 0, 0, 0, 0, 0, 454, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, -106, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 94, 0, 0, 0, 0, 0, 236, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 210, 0, 0, 0, 0, 0, 174, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 98, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 158, 0, 0, 0, 0, 0, 556, 0, 0, 0, 0, 0, -110, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 122, 0, 0, 0, 0, 0, -250, 0, 0, 0, 0, 0, 248, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 198, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 116, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -154, 0, 0, 0, 0, 0, -70, 0, 0, 0, 0, 0, -158, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 496, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 244, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 202, 0, 0, 0, 0, 0, -110, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -164, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 116, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, -190, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 98, 0, 0, 0, 0, 0, -290, 0, 0, 0, 0, 0, 184, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -82, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 118, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, -236, 0, 0, 0, 0, 0, -396, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 166, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 272, 0, 0, 0, 0, 0, -140, 0, 0, 0, 0, 0, 94, 0, 0, 0, 0, 0, -220, 0, 0, 0, 0, 0, 724, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 138, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, 210, 0, 0, 0, 0, 0, -218, 0, 0, 0, 0, 0, 170, 0, 0, 0, 0, 0, -446, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -218, 0, 0, 0, 0, 0, 130, 0, 0, 0, 0, 0, -140, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, -454, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 370, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 82, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 106, 0, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, -180, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
-
source_label 26136.2.a.f does not appear in mf_twists_nf
-
hecke_orbit_code 22517998170433048 does not appear in mf_hecke_charpolys
-
label 26136.2.a.f does not appear in mf_newform_portraits
-
mf_hecke_traces • Show schema
Hide schema
-
id: 133743442
{'hecke_orbit_code': 22517998170433048, 'n': 1, 'trace_an': 1}
-
id: 133743443
{'hecke_orbit_code': 22517998170433048, 'n': 2, 'trace_an': 0}
-
id: 133743444
{'hecke_orbit_code': 22517998170433048, 'n': 3, 'trace_an': 0}
-
id: 133743445
{'hecke_orbit_code': 22517998170433048, 'n': 4, 'trace_an': 0}
-
id: 133743446
{'hecke_orbit_code': 22517998170433048, 'n': 5, 'trace_an': -3}
-
id: 133743447
{'hecke_orbit_code': 22517998170433048, 'n': 6, 'trace_an': 0}
-
id: 133743448
{'hecke_orbit_code': 22517998170433048, 'n': 7, 'trace_an': -4}
-
id: 133743449
{'hecke_orbit_code': 22517998170433048, 'n': 8, 'trace_an': 0}
-
id: 133743450
{'hecke_orbit_code': 22517998170433048, 'n': 9, 'trace_an': 0}
-
id: 133743451
{'hecke_orbit_code': 22517998170433048, 'n': 10, 'trace_an': 0}
-
id: 133743452
{'hecke_orbit_code': 22517998170433048, 'n': 11, 'trace_an': 0}
-
id: 133743453
{'hecke_orbit_code': 22517998170433048, 'n': 12, 'trace_an': 0}
-
id: 133743454
{'hecke_orbit_code': 22517998170433048, 'n': 13, 'trace_an': -3}
-
id: 133743455
{'hecke_orbit_code': 22517998170433048, 'n': 14, 'trace_an': 0}
-
id: 133743456
{'hecke_orbit_code': 22517998170433048, 'n': 15, 'trace_an': 0}
-
id: 133743457
{'hecke_orbit_code': 22517998170433048, 'n': 16, 'trace_an': 0}
-
id: 133743458
{'hecke_orbit_code': 22517998170433048, 'n': 17, 'trace_an': -3}
-
id: 133743459
{'hecke_orbit_code': 22517998170433048, 'n': 18, 'trace_an': 0}
-
id: 133743460
{'hecke_orbit_code': 22517998170433048, 'n': 19, 'trace_an': -4}
-
id: 133743461
{'hecke_orbit_code': 22517998170433048, 'n': 20, 'trace_an': 0}
-
id: 133743462
{'hecke_orbit_code': 22517998170433048, 'n': 21, 'trace_an': 0}
-
id: 133743463
{'hecke_orbit_code': 22517998170433048, 'n': 22, 'trace_an': 0}
-
id: 133743464
{'hecke_orbit_code': 22517998170433048, 'n': 23, 'trace_an': -7}
-
id: 133743465
{'hecke_orbit_code': 22517998170433048, 'n': 24, 'trace_an': 0}
-
id: 133743466
{'hecke_orbit_code': 22517998170433048, 'n': 25, 'trace_an': 4}
-
id: 133743467
{'hecke_orbit_code': 22517998170433048, 'n': 26, 'trace_an': 0}
-
id: 133743468
{'hecke_orbit_code': 22517998170433048, 'n': 27, 'trace_an': 0}
-
id: 133743469
{'hecke_orbit_code': 22517998170433048, 'n': 28, 'trace_an': 0}
-
id: 133743470
{'hecke_orbit_code': 22517998170433048, 'n': 29, 'trace_an': -2}
-
id: 133743471
{'hecke_orbit_code': 22517998170433048, 'n': 30, 'trace_an': 0}
-
id: 133743472
{'hecke_orbit_code': 22517998170433048, 'n': 31, 'trace_an': -10}
-
id: 133743473
{'hecke_orbit_code': 22517998170433048, 'n': 32, 'trace_an': 0}
-
id: 133743474
{'hecke_orbit_code': 22517998170433048, 'n': 33, 'trace_an': 0}
-
id: 133743475
{'hecke_orbit_code': 22517998170433048, 'n': 34, 'trace_an': 0}
-
id: 133743476
{'hecke_orbit_code': 22517998170433048, 'n': 35, 'trace_an': 12}
-
id: 133743477
{'hecke_orbit_code': 22517998170433048, 'n': 36, 'trace_an': 0}
-
id: 133743478
{'hecke_orbit_code': 22517998170433048, 'n': 37, 'trace_an': 8}
-
id: 133743479
{'hecke_orbit_code': 22517998170433048, 'n': 38, 'trace_an': 0}
-
id: 133743480
{'hecke_orbit_code': 22517998170433048, 'n': 39, 'trace_an': 0}
-
id: 133743481
{'hecke_orbit_code': 22517998170433048, 'n': 40, 'trace_an': 0}
-
id: 133743482
{'hecke_orbit_code': 22517998170433048, 'n': 41, 'trace_an': 7}
-
id: 133743483
{'hecke_orbit_code': 22517998170433048, 'n': 42, 'trace_an': 0}
-
id: 133743484
{'hecke_orbit_code': 22517998170433048, 'n': 43, 'trace_an': 6}
-
id: 133743485
{'hecke_orbit_code': 22517998170433048, 'n': 44, 'trace_an': 0}
-
id: 133743486
{'hecke_orbit_code': 22517998170433048, 'n': 45, 'trace_an': 0}
-
id: 133743487
{'hecke_orbit_code': 22517998170433048, 'n': 46, 'trace_an': 0}
-
id: 133743488
{'hecke_orbit_code': 22517998170433048, 'n': 47, 'trace_an': 8}
-
id: 133743489
{'hecke_orbit_code': 22517998170433048, 'n': 48, 'trace_an': 0}
-
id: 133743490
{'hecke_orbit_code': 22517998170433048, 'n': 49, 'trace_an': 9}
-
id: 133743491
{'hecke_orbit_code': 22517998170433048, 'n': 50, 'trace_an': 0}
-
id: 133743492
{'hecke_orbit_code': 22517998170433048, 'n': 51, 'trace_an': 0}
-
id: 133743493
{'hecke_orbit_code': 22517998170433048, 'n': 52, 'trace_an': 0}
-
id: 133743494
{'hecke_orbit_code': 22517998170433048, 'n': 53, 'trace_an': 1}
-
id: 133743495
{'hecke_orbit_code': 22517998170433048, 'n': 54, 'trace_an': 0}
-
id: 133743496
{'hecke_orbit_code': 22517998170433048, 'n': 55, 'trace_an': 0}
-
id: 133743497
{'hecke_orbit_code': 22517998170433048, 'n': 56, 'trace_an': 0}
-
id: 133743498
{'hecke_orbit_code': 22517998170433048, 'n': 57, 'trace_an': 0}
-
id: 133743499
{'hecke_orbit_code': 22517998170433048, 'n': 58, 'trace_an': 0}
-
id: 133743500
{'hecke_orbit_code': 22517998170433048, 'n': 59, 'trace_an': 10}
-
id: 133743501
{'hecke_orbit_code': 22517998170433048, 'n': 60, 'trace_an': 0}
-
id: 133743502
{'hecke_orbit_code': 22517998170433048, 'n': 61, 'trace_an': -1}
-
id: 133743503
{'hecke_orbit_code': 22517998170433048, 'n': 62, 'trace_an': 0}
-
id: 133743504
{'hecke_orbit_code': 22517998170433048, 'n': 63, 'trace_an': 0}
-
id: 133743505
{'hecke_orbit_code': 22517998170433048, 'n': 64, 'trace_an': 0}
-
id: 133743506
{'hecke_orbit_code': 22517998170433048, 'n': 65, 'trace_an': 9}
-
id: 133743507
{'hecke_orbit_code': 22517998170433048, 'n': 66, 'trace_an': 0}
-
id: 133743508
{'hecke_orbit_code': 22517998170433048, 'n': 67, 'trace_an': 13}
-
id: 133743509
{'hecke_orbit_code': 22517998170433048, 'n': 68, 'trace_an': 0}
-
id: 133743510
{'hecke_orbit_code': 22517998170433048, 'n': 69, 'trace_an': 0}
-
id: 133743511
{'hecke_orbit_code': 22517998170433048, 'n': 70, 'trace_an': 0}
-
id: 133743512
{'hecke_orbit_code': 22517998170433048, 'n': 71, 'trace_an': 12}
-
id: 133743513
{'hecke_orbit_code': 22517998170433048, 'n': 72, 'trace_an': 0}
-
id: 133743514
{'hecke_orbit_code': 22517998170433048, 'n': 73, 'trace_an': 2}
-
id: 133743515
{'hecke_orbit_code': 22517998170433048, 'n': 74, 'trace_an': 0}
-
id: 133743516
{'hecke_orbit_code': 22517998170433048, 'n': 75, 'trace_an': 0}
-
id: 133743517
{'hecke_orbit_code': 22517998170433048, 'n': 76, 'trace_an': 0}
-
id: 133743518
{'hecke_orbit_code': 22517998170433048, 'n': 77, 'trace_an': 0}
-
id: 133743519
{'hecke_orbit_code': 22517998170433048, 'n': 78, 'trace_an': 0}
-
id: 133743520
{'hecke_orbit_code': 22517998170433048, 'n': 79, 'trace_an': -5}
-
id: 133743521
{'hecke_orbit_code': 22517998170433048, 'n': 80, 'trace_an': 0}
-
id: 133743522
{'hecke_orbit_code': 22517998170433048, 'n': 81, 'trace_an': 0}
-
id: 133743523
{'hecke_orbit_code': 22517998170433048, 'n': 82, 'trace_an': 0}
-
id: 133743524
{'hecke_orbit_code': 22517998170433048, 'n': 83, 'trace_an': -11}
-
id: 133743525
{'hecke_orbit_code': 22517998170433048, 'n': 84, 'trace_an': 0}
-
id: 133743526
{'hecke_orbit_code': 22517998170433048, 'n': 85, 'trace_an': 9}
-
id: 133743527
{'hecke_orbit_code': 22517998170433048, 'n': 86, 'trace_an': 0}
-
id: 133743528
{'hecke_orbit_code': 22517998170433048, 'n': 87, 'trace_an': 0}
-
id: 133743529
{'hecke_orbit_code': 22517998170433048, 'n': 88, 'trace_an': 0}
-
id: 133743530
{'hecke_orbit_code': 22517998170433048, 'n': 89, 'trace_an': 6}
-
id: 133743531
{'hecke_orbit_code': 22517998170433048, 'n': 90, 'trace_an': 0}
-
id: 133743532
{'hecke_orbit_code': 22517998170433048, 'n': 91, 'trace_an': 12}
-
id: 133743533
{'hecke_orbit_code': 22517998170433048, 'n': 92, 'trace_an': 0}
-
id: 133743534
{'hecke_orbit_code': 22517998170433048, 'n': 93, 'trace_an': 0}
-
id: 133743535
{'hecke_orbit_code': 22517998170433048, 'n': 94, 'trace_an': 0}
-
id: 133743536
{'hecke_orbit_code': 22517998170433048, 'n': 95, 'trace_an': 12}
-
id: 133743537
{'hecke_orbit_code': 22517998170433048, 'n': 96, 'trace_an': 0}
-
id: 133743538
{'hecke_orbit_code': 22517998170433048, 'n': 97, 'trace_an': 17}
-
id: 133743539
{'hecke_orbit_code': 22517998170433048, 'n': 98, 'trace_an': 0}
-
id: 133743540
{'hecke_orbit_code': 22517998170433048, 'n': 99, 'trace_an': 0}
-
id: 133743541
{'hecke_orbit_code': 22517998170433048, 'n': 100, 'trace_an': 0}