-
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], [11, 11, 11]], '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': 11, 'hecke_orbit_code': 45035996307276942, '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.k', '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}-q^{7}-q^{8}-5q^{11}-q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/17550/k'], '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, -1], 'traces': [1, -1, 0, 1, 0, 0, -1, -1, 0, 0, -5, 0, -1, 1, 0, 1, -5, 0, -4, 0, 0, 5, 0, 0, 0, 1, 0, -1, -4, 0, -4, -1, 0, 5, 0, 0, -6, 4, 0, 0, -9, 0, -2, -5, 0, 0, -10, 0, -6, 0, 0, -1, -11, 0, 0, 1, 0, 4, -1, 0, -5, 4, 0, 1, 0, 0, 5, -5, 0, 0, -5, 0, 11, 6, 0, -4, 5, 0, 1, 0, 0, 9, 12, 0, 0, 2, 0, 5, 18, 0, 1, 0, 0, 10, 0, 0, -3, 6, 0, 0], 'weight': 2, 'weight_parity': 1}
-
label 17550.2.a.k 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.k does not appear in mf_twists_nf
-
hecke_orbit_code 45035996307276942 does not appear in mf_hecke_charpolys
-
label 17550.2.a.k does not appear in mf_newform_portraits
-
mf_hecke_traces • Show schema
Hide schema
-
id: 144458142
{'hecke_orbit_code': 45035996307276942, 'n': 1, 'trace_an': 1}
-
id: 144458143
{'hecke_orbit_code': 45035996307276942, 'n': 2, 'trace_an': -1}
-
id: 144458144
{'hecke_orbit_code': 45035996307276942, 'n': 3, 'trace_an': 0}
-
id: 144458145
{'hecke_orbit_code': 45035996307276942, 'n': 4, 'trace_an': 1}
-
id: 144458146
{'hecke_orbit_code': 45035996307276942, 'n': 5, 'trace_an': 0}
-
id: 144458147
{'hecke_orbit_code': 45035996307276942, 'n': 6, 'trace_an': 0}
-
id: 144458148
{'hecke_orbit_code': 45035996307276942, 'n': 7, 'trace_an': -1}
-
id: 144458149
{'hecke_orbit_code': 45035996307276942, 'n': 8, 'trace_an': -1}
-
id: 144458150
{'hecke_orbit_code': 45035996307276942, 'n': 9, 'trace_an': 0}
-
id: 144458151
{'hecke_orbit_code': 45035996307276942, 'n': 10, 'trace_an': 0}
-
id: 144458152
{'hecke_orbit_code': 45035996307276942, 'n': 11, 'trace_an': -5}
-
id: 144458153
{'hecke_orbit_code': 45035996307276942, 'n': 12, 'trace_an': 0}
-
id: 144458154
{'hecke_orbit_code': 45035996307276942, 'n': 13, 'trace_an': -1}
-
id: 144458155
{'hecke_orbit_code': 45035996307276942, 'n': 14, 'trace_an': 1}
-
id: 144458156
{'hecke_orbit_code': 45035996307276942, 'n': 15, 'trace_an': 0}
-
id: 144458157
{'hecke_orbit_code': 45035996307276942, 'n': 16, 'trace_an': 1}
-
id: 144458158
{'hecke_orbit_code': 45035996307276942, 'n': 17, 'trace_an': -5}
-
id: 144458159
{'hecke_orbit_code': 45035996307276942, 'n': 18, 'trace_an': 0}
-
id: 144458160
{'hecke_orbit_code': 45035996307276942, 'n': 19, 'trace_an': -4}
-
id: 144458161
{'hecke_orbit_code': 45035996307276942, 'n': 20, 'trace_an': 0}
-
id: 144458162
{'hecke_orbit_code': 45035996307276942, 'n': 21, 'trace_an': 0}
-
id: 144458163
{'hecke_orbit_code': 45035996307276942, 'n': 22, 'trace_an': 5}
-
id: 144458164
{'hecke_orbit_code': 45035996307276942, 'n': 23, 'trace_an': 0}
-
id: 144458165
{'hecke_orbit_code': 45035996307276942, 'n': 24, 'trace_an': 0}
-
id: 144458166
{'hecke_orbit_code': 45035996307276942, 'n': 25, 'trace_an': 0}
-
id: 144458167
{'hecke_orbit_code': 45035996307276942, 'n': 26, 'trace_an': 1}
-
id: 144458168
{'hecke_orbit_code': 45035996307276942, 'n': 27, 'trace_an': 0}
-
id: 144458169
{'hecke_orbit_code': 45035996307276942, 'n': 28, 'trace_an': -1}
-
id: 144458170
{'hecke_orbit_code': 45035996307276942, 'n': 29, 'trace_an': -4}
-
id: 144458171
{'hecke_orbit_code': 45035996307276942, 'n': 30, 'trace_an': 0}
-
id: 144458172
{'hecke_orbit_code': 45035996307276942, 'n': 31, 'trace_an': -4}
-
id: 144458173
{'hecke_orbit_code': 45035996307276942, 'n': 32, 'trace_an': -1}
-
id: 144458174
{'hecke_orbit_code': 45035996307276942, 'n': 33, 'trace_an': 0}
-
id: 144458175
{'hecke_orbit_code': 45035996307276942, 'n': 34, 'trace_an': 5}
-
id: 144458176
{'hecke_orbit_code': 45035996307276942, 'n': 35, 'trace_an': 0}
-
id: 144458177
{'hecke_orbit_code': 45035996307276942, 'n': 36, 'trace_an': 0}
-
id: 144458178
{'hecke_orbit_code': 45035996307276942, 'n': 37, 'trace_an': -6}
-
id: 144458179
{'hecke_orbit_code': 45035996307276942, 'n': 38, 'trace_an': 4}
-
id: 144458180
{'hecke_orbit_code': 45035996307276942, 'n': 39, 'trace_an': 0}
-
id: 144458181
{'hecke_orbit_code': 45035996307276942, 'n': 40, 'trace_an': 0}
-
id: 144458182
{'hecke_orbit_code': 45035996307276942, 'n': 41, 'trace_an': -9}
-
id: 144458183
{'hecke_orbit_code': 45035996307276942, 'n': 42, 'trace_an': 0}
-
id: 144458184
{'hecke_orbit_code': 45035996307276942, 'n': 43, 'trace_an': -2}
-
id: 144458185
{'hecke_orbit_code': 45035996307276942, 'n': 44, 'trace_an': -5}
-
id: 144458186
{'hecke_orbit_code': 45035996307276942, 'n': 45, 'trace_an': 0}
-
id: 144458187
{'hecke_orbit_code': 45035996307276942, 'n': 46, 'trace_an': 0}
-
id: 144458188
{'hecke_orbit_code': 45035996307276942, 'n': 47, 'trace_an': -10}
-
id: 144458189
{'hecke_orbit_code': 45035996307276942, 'n': 48, 'trace_an': 0}
-
id: 144458190
{'hecke_orbit_code': 45035996307276942, 'n': 49, 'trace_an': -6}
-
id: 144458191
{'hecke_orbit_code': 45035996307276942, 'n': 50, 'trace_an': 0}
-
id: 144458192
{'hecke_orbit_code': 45035996307276942, 'n': 51, 'trace_an': 0}
-
id: 144458193
{'hecke_orbit_code': 45035996307276942, 'n': 52, 'trace_an': -1}
-
id: 144458194
{'hecke_orbit_code': 45035996307276942, 'n': 53, 'trace_an': -11}
-
id: 144458195
{'hecke_orbit_code': 45035996307276942, 'n': 54, 'trace_an': 0}
-
id: 144458196
{'hecke_orbit_code': 45035996307276942, 'n': 55, 'trace_an': 0}
-
id: 144458197
{'hecke_orbit_code': 45035996307276942, 'n': 56, 'trace_an': 1}
-
id: 144458198
{'hecke_orbit_code': 45035996307276942, 'n': 57, 'trace_an': 0}
-
id: 144458199
{'hecke_orbit_code': 45035996307276942, 'n': 58, 'trace_an': 4}
-
id: 144458200
{'hecke_orbit_code': 45035996307276942, 'n': 59, 'trace_an': -1}
-
id: 144458201
{'hecke_orbit_code': 45035996307276942, 'n': 60, 'trace_an': 0}
-
id: 144458202
{'hecke_orbit_code': 45035996307276942, 'n': 61, 'trace_an': -5}
-
id: 144458203
{'hecke_orbit_code': 45035996307276942, 'n': 62, 'trace_an': 4}
-
id: 144458204
{'hecke_orbit_code': 45035996307276942, 'n': 63, 'trace_an': 0}
-
id: 144458205
{'hecke_orbit_code': 45035996307276942, 'n': 64, 'trace_an': 1}
-
id: 144458206
{'hecke_orbit_code': 45035996307276942, 'n': 65, 'trace_an': 0}
-
id: 144458207
{'hecke_orbit_code': 45035996307276942, 'n': 66, 'trace_an': 0}
-
id: 144458208
{'hecke_orbit_code': 45035996307276942, 'n': 67, 'trace_an': 5}
-
id: 144458209
{'hecke_orbit_code': 45035996307276942, 'n': 68, 'trace_an': -5}
-
id: 144458210
{'hecke_orbit_code': 45035996307276942, 'n': 69, 'trace_an': 0}
-
id: 144458211
{'hecke_orbit_code': 45035996307276942, 'n': 70, 'trace_an': 0}
-
id: 144458212
{'hecke_orbit_code': 45035996307276942, 'n': 71, 'trace_an': -5}
-
id: 144458213
{'hecke_orbit_code': 45035996307276942, 'n': 72, 'trace_an': 0}
-
id: 144458214
{'hecke_orbit_code': 45035996307276942, 'n': 73, 'trace_an': 11}
-
id: 144458215
{'hecke_orbit_code': 45035996307276942, 'n': 74, 'trace_an': 6}
-
id: 144458216
{'hecke_orbit_code': 45035996307276942, 'n': 75, 'trace_an': 0}
-
id: 144458217
{'hecke_orbit_code': 45035996307276942, 'n': 76, 'trace_an': -4}
-
id: 144458218
{'hecke_orbit_code': 45035996307276942, 'n': 77, 'trace_an': 5}
-
id: 144458219
{'hecke_orbit_code': 45035996307276942, 'n': 78, 'trace_an': 0}
-
id: 144458220
{'hecke_orbit_code': 45035996307276942, 'n': 79, 'trace_an': 1}
-
id: 144458221
{'hecke_orbit_code': 45035996307276942, 'n': 80, 'trace_an': 0}
-
id: 144458222
{'hecke_orbit_code': 45035996307276942, 'n': 81, 'trace_an': 0}
-
id: 144458223
{'hecke_orbit_code': 45035996307276942, 'n': 82, 'trace_an': 9}
-
id: 144458224
{'hecke_orbit_code': 45035996307276942, 'n': 83, 'trace_an': 12}
-
id: 144458225
{'hecke_orbit_code': 45035996307276942, 'n': 84, 'trace_an': 0}
-
id: 144458226
{'hecke_orbit_code': 45035996307276942, 'n': 85, 'trace_an': 0}
-
id: 144458227
{'hecke_orbit_code': 45035996307276942, 'n': 86, 'trace_an': 2}
-
id: 144458228
{'hecke_orbit_code': 45035996307276942, 'n': 87, 'trace_an': 0}
-
id: 144458229
{'hecke_orbit_code': 45035996307276942, 'n': 88, 'trace_an': 5}
-
id: 144458230
{'hecke_orbit_code': 45035996307276942, 'n': 89, 'trace_an': 18}
-
id: 144458231
{'hecke_orbit_code': 45035996307276942, 'n': 90, 'trace_an': 0}
-
id: 144458232
{'hecke_orbit_code': 45035996307276942, 'n': 91, 'trace_an': 1}
-
id: 144458233
{'hecke_orbit_code': 45035996307276942, 'n': 92, 'trace_an': 0}
-
id: 144458234
{'hecke_orbit_code': 45035996307276942, 'n': 93, 'trace_an': 0}
-
id: 144458235
{'hecke_orbit_code': 45035996307276942, 'n': 94, 'trace_an': 10}
-
id: 144458236
{'hecke_orbit_code': 45035996307276942, 'n': 95, 'trace_an': 0}
-
id: 144458237
{'hecke_orbit_code': 45035996307276942, 'n': 96, 'trace_an': 0}
-
id: 144458238
{'hecke_orbit_code': 45035996307276942, 'n': 97, 'trace_an': -3}
-
id: 144458239
{'hecke_orbit_code': 45035996307276942, 'n': 98, 'trace_an': 6}
-
id: 144458240
{'hecke_orbit_code': 45035996307276942, 'n': 99, 'trace_an': 0}
-
id: 144458241
{'hecke_orbit_code': 45035996307276942, 'n': 100, 'trace_an': 0}