-
mf_newforms • Show schema
Hide schema
{'Nk2': 70200, 'analytic_conductor': 140.1374555473471, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, 1], [13, -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': [17550, 1, [9101, 9127, 8101], [48, 48, 48]], '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': 48, 'hecke_orbit_code': 211669182519985294, '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': '17550.2.a.bv', 'level': 17550, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}-4q^{7}+q^{8}+2q^{11}+q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/17550/bv'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '17550.2.a', 'trace_display': [1, 0, 0, -4], 'traces': [1, 1, 0, 1, 0, 0, -4, 1, 0, 0, 2, 0, 1, -4, 0, 1, 0, 0, -3, 0, 0, 2, -4, 0, 0, 1, 0, -4, 1, 0, 10, 1, 0, 0, 0, 0, 3, -3, 0, 0, 9, 0, -10, 2, 0, -4, -11, 0, 9, 0, 0, 1, 6, 0, 0, -4, 0, 1, -8, 0, -2, 10, 0, 1, 0, 0, -4, 0, 0, 0, 5, 0, -8, 3, 0, -3, -8, 0, -7, 0, 0, 9, -12, 0, 0, -10, 0, 2, -3, 0, -4, -4, 0, -11, 0, 0, 16, 9, 0, 0], 'weight': 2, 'weight_parity': 1}
-
label 17550.2.a.bv does not appear in mf_hecke_nf
-
mf_newspaces • Show schema
Hide schema
{'ALdims': [17, 20, 20, 18, 19, 16, 20, 22, 19, 16, 20, 22, 17, 20, 20, 18], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], 'ALdims_old': [200, 223, 220, 210, 224, 209, 205, 212, 206, 218, 214, 212, 226, 205, 208, 213], 'Nk2': 70200, 'analytic_conductor': 140.1374555473471, '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': [17550, 1, [9101, 9127, 8101], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 3709, 'dim': 304, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_orbit_code': 33571982, '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, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7], 'label': '17550.2.a', 'level': 17550, '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, 13], 'level_radical': 390, 'mf_dim': 3852, 'mf_new_dim': 304, 'num_forms': 150, 'plus_dim': 142, 'prim_orbit_index': 1, 'relative_dim': 304, 'sturm_bound': 7560, 'trace_display': [0, 0, 0, 4], 'traces': [304, 0, 0, 304, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 304, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, -8, 0, 0, -8, 0, 0, 0, 0, 0, -72, 0, 0, 8, 0, 0, 244, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 8, 0, 0, 304, 0, 0, 8, 0, 0, 0, 0, 0, -68, 0, 0, 0, 0, 0, -20, 0, 0, -20, 0, 0, 0, 0, 0, 12, 0, 0, 8, 0, 0, -12, 0, 0, -4, 0, 0, 0, 0, 0, -12, 0, 0, -12, 0, 0, 32, 0, 0, 4, 0, 0, 0, 0, 0, -16, 0, 0, 340, 0, 0, -4, 0, 0, -16, 0, 0, 0, 0, 0, -32, 0, 0, -8, 0, 0, -8, 0, 0, 28, 0, 0, 0, 0, 0, -8, 0, 0, 28, 0, 0, -116, 0, 0, 80, 0, 0, 0, 0, 0, 40, 0, 0, -20, 0, 0, 304, 0, 0, -72, 0, 0, 0, 0, 0, 4, 0, 0, 88, 0, 0, 8, 0, 0, -64, 0, 0, 0, 0, 0, -20, 0, 0, 244, 0, 0, -72, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, -132, 0, 0, -36, 0, 0, 0, 0, 0, 8, 0, 0, 24, 0, 0, 32, 0, 0, -48, 0, 0, 0, 0, 0, -40, 0, 0, 72, 0, 0, 8, 0, 0, -68, 0, 0, 0, 0, 0, -176, 0, 0, 304, 0, 0, -72, 0, 0, -20, 0, 0, 0, 0, 0, 8, 0, 0, -220, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 32, 0, 0, 224, 0, 0, -68, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 96, 0, 0, -20, 0, 0, 80, 0, 0, -96, 0, 0, 0, 0, 0, -20, 0, 0, -224, 0, 0, 20, 0, 0, -60, 0, 0, 0, 0, 0, -4, 0, 0, 20, 0, 0, -16, 0, 0, 12, 0, 0, 0, 0, 0, -12, 0, 0, 468, 0, 0, 8, 0, 0, 40, 0, 0, 0, 0, 0, 72, 0, 0, -12, 0, 0, 128, 0, 0, 32, 0, 0, 0, 0, 0, -4, 0, 0, -72, 0, 0, 44, 0, 0, 224, 0, 0, 0, 0, 0, -16, 0, 0, -136, 0, 0, 180, 0, 0, -12, 0, 0, 0, 0, 0, -72, 0, 0, 200, 0, 0, -12, 0, 0, -96, 0, 0, 0, 0, 0, 288, 0, 0, 32, 0, 0, -104, 0, 0, -8, 0, 0, 0, 0, 0, 4, 0, 0, 192, 0, 0, 16, 0, 0, 92, 0, 0, 0, 0, 0, 12, 0, 0, 96, 0, 0, -88, 0, 0, -16, 0, 0, 0, 0, 0, -164, 0, 0, -68, 0, 0, 340, 0, 0, 144, 0, 0, 0, 0, 0, 224, 0, 0, -4, 0, 0, -24, 0, 0, -96, 0, 0, 0, 0, 0, -16, 0, 0, 44, 0, 0, -48, 0, 0, 96, 0, 0, 0, 0, 0, 112, 0, 0, -40, 0, 0, 344, 0, 0, -32, 0, 0, 0, 0, 0, 176, 0, 0, -168, 0, 0, -8, 0, 0, -16, 0, 0, 0, 0, 0, 272, 0, 0, -8, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 28, 0, 0, 136, 0, 0, -88, 0, 0, 200, 0, 0, 0, 0, 0, -260, 0, 0, 176, 0, 0, 88, 0, 0, -8, 0, 0, 0, 0, 0, 16, 0, 0, 32, 0, 0, 28, 0, 0, 236, 0, 0, 0, 0, 0, 216, 0, 0, -116, 0, 0, 312, 0, 0, 136, 0, 0, 0, 0, 0, 80, 0, 0, 132, 0, 0, -76, 0, 0, 64, 0, 0, 0, 0, 0, 56, 0, 0, -184, 0, 0, -152, 0, 0, 40, 0, 0, 0, 0, 0, 216, 0, 0, 312, 0, 0, -20, 0, 0, -312, 0, 0, 0, 0, 0, 208, 0, 0, 304, 0, 0, -316, 0, 0, 164, 0, 0, 0, 0, 0, -72, 0, 0, 448, 0, 0, -124, 0, 0, 264, 0, 0, 0, 0, 0, 156, 0, 0, 72, 0, 0, 120, 0, 0, 4, 0, 0, 0, 0, 0, -48, 0, 0, 160, 0, 0, 88, 0, 0, -28, 0, 0, 0, 0, 0, 184, 0, 0, 8, 0, 0, 168, 0, 0, -68, 0, 0, 0, 0, 0, -64, 0, 0, -76, 0, 0, -4, 0, 0, -144, 0, 0, 0, 0, 0, 328, 0, 0, -24, 0, 0, -196, 0, 0, -20, 0, 0, 0, 0, 0, 244, 0, 0, -160, 0, 0, 244, 0, 0, -296, 0, 0, 0, 0, 0, 16, 0, 0, -72, 0, 0, -392, 0, 0, 144, 0, 0, 0, 0, 0, -12, 0, 0, -152, 0, 0, -512, 0, 0, 40, 0, 0, 0, 0, 0, 116, 0, 0, -24, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 460, 0, 0, -64, 0, 0, 24, 0, 0, 0, 0, 0, -48, 0, 0, -132, 0, 0, -360, 0, 0, 100, 0, 0, 0, 0, 0, -36, 0, 0, 56, 0, 0, 96, 0, 0, -16, 0, 0, 0, 0, 0, -96, 0, 0, -352, 0, 0, 76, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 24, 0, 0, 128, 0, 0, 0, 0, 0, -44, 0, 0, 32, 0, 0, 152, 0, 0, 388, 0, 0, 0, 0, 0, -48, 0, 0, 24, 0, 0, -100, 0, 0, -8, 0, 0, 0, 0, 0, -184, 0, 0, 80, 0, 0, 64, 0, 0, -40, 0, 0, 0, 0, 0, 8, 0, 0, -76, 0, 0, 72, 0, 0, -108, 0, 0, 0, 0, 0, 224, 0, 0, 8, 0, 0, -256, 0, 0, -252, 0, 0, 0, 0, 0, -68, 0, 0, -260, 0, 0, 48, 0, 0, -240, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
-
source_label 17550.2.a.bv does not appear in mf_twists_nf
-
hecke_orbit_code 211669182519985294 does not appear in mf_hecke_charpolys
-
label 17550.2.a.bv does not appear in mf_newform_portraits
-
mf_hecke_traces • Show schema
Hide schema
-
id: 172282742
{'hecke_orbit_code': 211669182519985294, 'n': 1, 'trace_an': 1}
-
id: 172282743
{'hecke_orbit_code': 211669182519985294, 'n': 2, 'trace_an': 1}
-
id: 172282744
{'hecke_orbit_code': 211669182519985294, 'n': 3, 'trace_an': 0}
-
id: 172282745
{'hecke_orbit_code': 211669182519985294, 'n': 4, 'trace_an': 1}
-
id: 172282746
{'hecke_orbit_code': 211669182519985294, 'n': 5, 'trace_an': 0}
-
id: 172282747
{'hecke_orbit_code': 211669182519985294, 'n': 6, 'trace_an': 0}
-
id: 172282748
{'hecke_orbit_code': 211669182519985294, 'n': 7, 'trace_an': -4}
-
id: 172282749
{'hecke_orbit_code': 211669182519985294, 'n': 8, 'trace_an': 1}
-
id: 172282750
{'hecke_orbit_code': 211669182519985294, 'n': 9, 'trace_an': 0}
-
id: 172282751
{'hecke_orbit_code': 211669182519985294, 'n': 10, 'trace_an': 0}
-
id: 172282752
{'hecke_orbit_code': 211669182519985294, 'n': 11, 'trace_an': 2}
-
id: 172282753
{'hecke_orbit_code': 211669182519985294, 'n': 12, 'trace_an': 0}
-
id: 172282754
{'hecke_orbit_code': 211669182519985294, 'n': 13, 'trace_an': 1}
-
id: 172282755
{'hecke_orbit_code': 211669182519985294, 'n': 14, 'trace_an': -4}
-
id: 172282756
{'hecke_orbit_code': 211669182519985294, 'n': 15, 'trace_an': 0}
-
id: 172282757
{'hecke_orbit_code': 211669182519985294, 'n': 16, 'trace_an': 1}
-
id: 172282758
{'hecke_orbit_code': 211669182519985294, 'n': 17, 'trace_an': 0}
-
id: 172282759
{'hecke_orbit_code': 211669182519985294, 'n': 18, 'trace_an': 0}
-
id: 172282760
{'hecke_orbit_code': 211669182519985294, 'n': 19, 'trace_an': -3}
-
id: 172282761
{'hecke_orbit_code': 211669182519985294, 'n': 20, 'trace_an': 0}
-
id: 172282762
{'hecke_orbit_code': 211669182519985294, 'n': 21, 'trace_an': 0}
-
id: 172282763
{'hecke_orbit_code': 211669182519985294, 'n': 22, 'trace_an': 2}
-
id: 172282764
{'hecke_orbit_code': 211669182519985294, 'n': 23, 'trace_an': -4}
-
id: 172282765
{'hecke_orbit_code': 211669182519985294, 'n': 24, 'trace_an': 0}
-
id: 172282766
{'hecke_orbit_code': 211669182519985294, 'n': 25, 'trace_an': 0}
-
id: 172282767
{'hecke_orbit_code': 211669182519985294, 'n': 26, 'trace_an': 1}
-
id: 172282768
{'hecke_orbit_code': 211669182519985294, 'n': 27, 'trace_an': 0}
-
id: 172282769
{'hecke_orbit_code': 211669182519985294, 'n': 28, 'trace_an': -4}
-
id: 172282770
{'hecke_orbit_code': 211669182519985294, 'n': 29, 'trace_an': 1}
-
id: 172282771
{'hecke_orbit_code': 211669182519985294, 'n': 30, 'trace_an': 0}
-
id: 172282772
{'hecke_orbit_code': 211669182519985294, 'n': 31, 'trace_an': 10}
-
id: 172282773
{'hecke_orbit_code': 211669182519985294, 'n': 32, 'trace_an': 1}
-
id: 172282774
{'hecke_orbit_code': 211669182519985294, 'n': 33, 'trace_an': 0}
-
id: 172282775
{'hecke_orbit_code': 211669182519985294, 'n': 34, 'trace_an': 0}
-
id: 172282776
{'hecke_orbit_code': 211669182519985294, 'n': 35, 'trace_an': 0}
-
id: 172282777
{'hecke_orbit_code': 211669182519985294, 'n': 36, 'trace_an': 0}
-
id: 172282778
{'hecke_orbit_code': 211669182519985294, 'n': 37, 'trace_an': 3}
-
id: 172282779
{'hecke_orbit_code': 211669182519985294, 'n': 38, 'trace_an': -3}
-
id: 172282780
{'hecke_orbit_code': 211669182519985294, 'n': 39, 'trace_an': 0}
-
id: 172282781
{'hecke_orbit_code': 211669182519985294, 'n': 40, 'trace_an': 0}
-
id: 172282782
{'hecke_orbit_code': 211669182519985294, 'n': 41, 'trace_an': 9}
-
id: 172282783
{'hecke_orbit_code': 211669182519985294, 'n': 42, 'trace_an': 0}
-
id: 172282784
{'hecke_orbit_code': 211669182519985294, 'n': 43, 'trace_an': -10}
-
id: 172282785
{'hecke_orbit_code': 211669182519985294, 'n': 44, 'trace_an': 2}
-
id: 172282786
{'hecke_orbit_code': 211669182519985294, 'n': 45, 'trace_an': 0}
-
id: 172282787
{'hecke_orbit_code': 211669182519985294, 'n': 46, 'trace_an': -4}
-
id: 172282788
{'hecke_orbit_code': 211669182519985294, 'n': 47, 'trace_an': -11}
-
id: 172282789
{'hecke_orbit_code': 211669182519985294, 'n': 48, 'trace_an': 0}
-
id: 172282790
{'hecke_orbit_code': 211669182519985294, 'n': 49, 'trace_an': 9}
-
id: 172282791
{'hecke_orbit_code': 211669182519985294, 'n': 50, 'trace_an': 0}
-
id: 172282792
{'hecke_orbit_code': 211669182519985294, 'n': 51, 'trace_an': 0}
-
id: 172282793
{'hecke_orbit_code': 211669182519985294, 'n': 52, 'trace_an': 1}
-
id: 172282794
{'hecke_orbit_code': 211669182519985294, 'n': 53, 'trace_an': 6}
-
id: 172282795
{'hecke_orbit_code': 211669182519985294, 'n': 54, 'trace_an': 0}
-
id: 172282796
{'hecke_orbit_code': 211669182519985294, 'n': 55, 'trace_an': 0}
-
id: 172282797
{'hecke_orbit_code': 211669182519985294, 'n': 56, 'trace_an': -4}
-
id: 172282798
{'hecke_orbit_code': 211669182519985294, 'n': 57, 'trace_an': 0}
-
id: 172282799
{'hecke_orbit_code': 211669182519985294, 'n': 58, 'trace_an': 1}
-
id: 172282800
{'hecke_orbit_code': 211669182519985294, 'n': 59, 'trace_an': -8}
-
id: 172282801
{'hecke_orbit_code': 211669182519985294, 'n': 60, 'trace_an': 0}
-
id: 172282802
{'hecke_orbit_code': 211669182519985294, 'n': 61, 'trace_an': -2}
-
id: 172282803
{'hecke_orbit_code': 211669182519985294, 'n': 62, 'trace_an': 10}
-
id: 172282804
{'hecke_orbit_code': 211669182519985294, 'n': 63, 'trace_an': 0}
-
id: 172282805
{'hecke_orbit_code': 211669182519985294, 'n': 64, 'trace_an': 1}
-
id: 172282806
{'hecke_orbit_code': 211669182519985294, 'n': 65, 'trace_an': 0}
-
id: 172282807
{'hecke_orbit_code': 211669182519985294, 'n': 66, 'trace_an': 0}
-
id: 172282808
{'hecke_orbit_code': 211669182519985294, 'n': 67, 'trace_an': -4}
-
id: 172282809
{'hecke_orbit_code': 211669182519985294, 'n': 68, 'trace_an': 0}
-
id: 172282810
{'hecke_orbit_code': 211669182519985294, 'n': 69, 'trace_an': 0}
-
id: 172282811
{'hecke_orbit_code': 211669182519985294, 'n': 70, 'trace_an': 0}
-
id: 172282812
{'hecke_orbit_code': 211669182519985294, 'n': 71, 'trace_an': 5}
-
id: 172282813
{'hecke_orbit_code': 211669182519985294, 'n': 72, 'trace_an': 0}
-
id: 172282814
{'hecke_orbit_code': 211669182519985294, 'n': 73, 'trace_an': -8}
-
id: 172282815
{'hecke_orbit_code': 211669182519985294, 'n': 74, 'trace_an': 3}
-
id: 172282816
{'hecke_orbit_code': 211669182519985294, 'n': 75, 'trace_an': 0}
-
id: 172282817
{'hecke_orbit_code': 211669182519985294, 'n': 76, 'trace_an': -3}
-
id: 172282818
{'hecke_orbit_code': 211669182519985294, 'n': 77, 'trace_an': -8}
-
id: 172282819
{'hecke_orbit_code': 211669182519985294, 'n': 78, 'trace_an': 0}
-
id: 172282820
{'hecke_orbit_code': 211669182519985294, 'n': 79, 'trace_an': -7}
-
id: 172282821
{'hecke_orbit_code': 211669182519985294, 'n': 80, 'trace_an': 0}
-
id: 172282822
{'hecke_orbit_code': 211669182519985294, 'n': 81, 'trace_an': 0}
-
id: 172282823
{'hecke_orbit_code': 211669182519985294, 'n': 82, 'trace_an': 9}
-
id: 172282824
{'hecke_orbit_code': 211669182519985294, 'n': 83, 'trace_an': -12}
-
id: 172282825
{'hecke_orbit_code': 211669182519985294, 'n': 84, 'trace_an': 0}
-
id: 172282826
{'hecke_orbit_code': 211669182519985294, 'n': 85, 'trace_an': 0}
-
id: 172282827
{'hecke_orbit_code': 211669182519985294, 'n': 86, 'trace_an': -10}
-
id: 172282828
{'hecke_orbit_code': 211669182519985294, 'n': 87, 'trace_an': 0}
-
id: 172282829
{'hecke_orbit_code': 211669182519985294, 'n': 88, 'trace_an': 2}
-
id: 172282830
{'hecke_orbit_code': 211669182519985294, 'n': 89, 'trace_an': -3}
-
id: 172282831
{'hecke_orbit_code': 211669182519985294, 'n': 90, 'trace_an': 0}
-
id: 172282832
{'hecke_orbit_code': 211669182519985294, 'n': 91, 'trace_an': -4}
-
id: 172282833
{'hecke_orbit_code': 211669182519985294, 'n': 92, 'trace_an': -4}
-
id: 172282834
{'hecke_orbit_code': 211669182519985294, 'n': 93, 'trace_an': 0}
-
id: 172282835
{'hecke_orbit_code': 211669182519985294, 'n': 94, 'trace_an': -11}
-
id: 172282836
{'hecke_orbit_code': 211669182519985294, 'n': 95, 'trace_an': 0}
-
id: 172282837
{'hecke_orbit_code': 211669182519985294, 'n': 96, 'trace_an': 0}
-
id: 172282838
{'hecke_orbit_code': 211669182519985294, 'n': 97, 'trace_an': 16}
-
id: 172282839
{'hecke_orbit_code': 211669182519985294, 'n': 98, 'trace_an': 9}
-
id: 172282840
{'hecke_orbit_code': 211669182519985294, 'n': 99, 'trace_an': 0}
-
id: 172282841
{'hecke_orbit_code': 211669182519985294, 'n': 100, 'trace_an': 0}