-
mf_newforms • Show schema
Hide schema
{'Nk2': 41472, 'analytic_conductor': 82.7888968156635, 'atkin_lehner_eigenvals': [[2, 1], [3, 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': [10368, 1, [2431, 5509, 6401], [22, 22, 22]], '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': 22, 'hecke_orbit_code': 94575592208345216, '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': '10368.2.a.v', 'level': 10368, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{5}+2q^{7}-4q^{11}+q^{13}-5q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/10368/v'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '10368.2.a', 'trace_display': [0, 0, 1, 2], 'traces': [1, 0, 0, 0, 1, 0, 2, 0, 0, 0, -4, 0, 1, 0, 0, 0, -5, 0, -2, 0, 0, 0, 4, 0, -4, 0, 0, 0, -3, 0, 6, 0, 0, 0, 2, 0, 5, 0, 0, 0, 6, 0, 0, 0, 0, 0, -2, 0, -3, 0, 0, 0, -6, 0, -4, 0, 0, 0, -8, 0, 13, 0, 0, 0, 1, 0, -10, 0, 0, 0, -6, 0, 11, 0, 0, 0, -8, 0, 4, 0, 0, 0, -6, 0, -5, 0, 0, 0, 7, 0, 2, 0, 0, 0, -2, 0, -2, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
-
label 10368.2.a.v does not appear in mf_hecke_nf
-
mf_newspaces • Show schema
Hide schema
{'ALdims': [46, 50, 50, 46], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [47, 48, 48, 48], 'ALdims_old': [355, 362, 366, 358], 'Nk2': 41472, 'analytic_conductor': 82.7888968156635, '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': [10368, 1, [2431, 5509, 6401], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1633, 'dim': 192, 'eis_dim': 191, 'eis_new_dim': 0, 'hecke_orbit_code': 33564800, '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, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], 'label': '10368.2.a', 'level': 10368, '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], 'level_radical': 6, 'mf_dim': 1824, 'mf_new_dim': 192, 'num_forms': 64, 'plus_dim': 92, 'prim_orbit_index': 1, 'relative_dim': 192, 'sturm_bound': 3456, 'trace_display': [0, 0, 0, 0], 'traces': [192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
-
source_label 10368.2.a.v does not appear in mf_twists_nf
-
hecke_orbit_code 94575592208345216 does not appear in mf_hecke_charpolys
-
label 10368.2.a.v does not appear in mf_newform_portraits
-
mf_hecke_traces • Show schema
Hide schema
-
id: 157994142
{'hecke_orbit_code': 94575592208345216, 'n': 1, 'trace_an': 1}
-
id: 157994143
{'hecke_orbit_code': 94575592208345216, 'n': 2, 'trace_an': 0}
-
id: 157994144
{'hecke_orbit_code': 94575592208345216, 'n': 3, 'trace_an': 0}
-
id: 157994145
{'hecke_orbit_code': 94575592208345216, 'n': 4, 'trace_an': 0}
-
id: 157994146
{'hecke_orbit_code': 94575592208345216, 'n': 5, 'trace_an': 1}
-
id: 157994147
{'hecke_orbit_code': 94575592208345216, 'n': 6, 'trace_an': 0}
-
id: 157994148
{'hecke_orbit_code': 94575592208345216, 'n': 7, 'trace_an': 2}
-
id: 157994149
{'hecke_orbit_code': 94575592208345216, 'n': 8, 'trace_an': 0}
-
id: 157994150
{'hecke_orbit_code': 94575592208345216, 'n': 9, 'trace_an': 0}
-
id: 157994151
{'hecke_orbit_code': 94575592208345216, 'n': 10, 'trace_an': 0}
-
id: 157994152
{'hecke_orbit_code': 94575592208345216, 'n': 11, 'trace_an': -4}
-
id: 157994153
{'hecke_orbit_code': 94575592208345216, 'n': 12, 'trace_an': 0}
-
id: 157994154
{'hecke_orbit_code': 94575592208345216, 'n': 13, 'trace_an': 1}
-
id: 157994155
{'hecke_orbit_code': 94575592208345216, 'n': 14, 'trace_an': 0}
-
id: 157994156
{'hecke_orbit_code': 94575592208345216, 'n': 15, 'trace_an': 0}
-
id: 157994157
{'hecke_orbit_code': 94575592208345216, 'n': 16, 'trace_an': 0}
-
id: 157994158
{'hecke_orbit_code': 94575592208345216, 'n': 17, 'trace_an': -5}
-
id: 157994159
{'hecke_orbit_code': 94575592208345216, 'n': 18, 'trace_an': 0}
-
id: 157994160
{'hecke_orbit_code': 94575592208345216, 'n': 19, 'trace_an': -2}
-
id: 157994161
{'hecke_orbit_code': 94575592208345216, 'n': 20, 'trace_an': 0}
-
id: 157994162
{'hecke_orbit_code': 94575592208345216, 'n': 21, 'trace_an': 0}
-
id: 157994163
{'hecke_orbit_code': 94575592208345216, 'n': 22, 'trace_an': 0}
-
id: 157994164
{'hecke_orbit_code': 94575592208345216, 'n': 23, 'trace_an': 4}
-
id: 157994165
{'hecke_orbit_code': 94575592208345216, 'n': 24, 'trace_an': 0}
-
id: 157994166
{'hecke_orbit_code': 94575592208345216, 'n': 25, 'trace_an': -4}
-
id: 157994167
{'hecke_orbit_code': 94575592208345216, 'n': 26, 'trace_an': 0}
-
id: 157994168
{'hecke_orbit_code': 94575592208345216, 'n': 27, 'trace_an': 0}
-
id: 157994169
{'hecke_orbit_code': 94575592208345216, 'n': 28, 'trace_an': 0}
-
id: 157994170
{'hecke_orbit_code': 94575592208345216, 'n': 29, 'trace_an': -3}
-
id: 157994171
{'hecke_orbit_code': 94575592208345216, 'n': 30, 'trace_an': 0}
-
id: 157994172
{'hecke_orbit_code': 94575592208345216, 'n': 31, 'trace_an': 6}
-
id: 157994173
{'hecke_orbit_code': 94575592208345216, 'n': 32, 'trace_an': 0}
-
id: 157994174
{'hecke_orbit_code': 94575592208345216, 'n': 33, 'trace_an': 0}
-
id: 157994175
{'hecke_orbit_code': 94575592208345216, 'n': 34, 'trace_an': 0}
-
id: 157994176
{'hecke_orbit_code': 94575592208345216, 'n': 35, 'trace_an': 2}
-
id: 157994177
{'hecke_orbit_code': 94575592208345216, 'n': 36, 'trace_an': 0}
-
id: 157994178
{'hecke_orbit_code': 94575592208345216, 'n': 37, 'trace_an': 5}
-
id: 157994179
{'hecke_orbit_code': 94575592208345216, 'n': 38, 'trace_an': 0}
-
id: 157994180
{'hecke_orbit_code': 94575592208345216, 'n': 39, 'trace_an': 0}
-
id: 157994181
{'hecke_orbit_code': 94575592208345216, 'n': 40, 'trace_an': 0}
-
id: 157994182
{'hecke_orbit_code': 94575592208345216, 'n': 41, 'trace_an': 6}
-
id: 157994183
{'hecke_orbit_code': 94575592208345216, 'n': 42, 'trace_an': 0}
-
id: 157994184
{'hecke_orbit_code': 94575592208345216, 'n': 43, 'trace_an': 0}
-
id: 157994185
{'hecke_orbit_code': 94575592208345216, 'n': 44, 'trace_an': 0}
-
id: 157994186
{'hecke_orbit_code': 94575592208345216, 'n': 45, 'trace_an': 0}
-
id: 157994187
{'hecke_orbit_code': 94575592208345216, 'n': 46, 'trace_an': 0}
-
id: 157994188
{'hecke_orbit_code': 94575592208345216, 'n': 47, 'trace_an': -2}
-
id: 157994189
{'hecke_orbit_code': 94575592208345216, 'n': 48, 'trace_an': 0}
-
id: 157994190
{'hecke_orbit_code': 94575592208345216, 'n': 49, 'trace_an': -3}
-
id: 157994191
{'hecke_orbit_code': 94575592208345216, 'n': 50, 'trace_an': 0}
-
id: 157994192
{'hecke_orbit_code': 94575592208345216, 'n': 51, 'trace_an': 0}
-
id: 157994193
{'hecke_orbit_code': 94575592208345216, 'n': 52, 'trace_an': 0}
-
id: 157994194
{'hecke_orbit_code': 94575592208345216, 'n': 53, 'trace_an': -6}
-
id: 157994195
{'hecke_orbit_code': 94575592208345216, 'n': 54, 'trace_an': 0}
-
id: 157994196
{'hecke_orbit_code': 94575592208345216, 'n': 55, 'trace_an': -4}
-
id: 157994197
{'hecke_orbit_code': 94575592208345216, 'n': 56, 'trace_an': 0}
-
id: 157994198
{'hecke_orbit_code': 94575592208345216, 'n': 57, 'trace_an': 0}
-
id: 157994199
{'hecke_orbit_code': 94575592208345216, 'n': 58, 'trace_an': 0}
-
id: 157994200
{'hecke_orbit_code': 94575592208345216, 'n': 59, 'trace_an': -8}
-
id: 157994201
{'hecke_orbit_code': 94575592208345216, 'n': 60, 'trace_an': 0}
-
id: 157994202
{'hecke_orbit_code': 94575592208345216, 'n': 61, 'trace_an': 13}
-
id: 157994203
{'hecke_orbit_code': 94575592208345216, 'n': 62, 'trace_an': 0}
-
id: 157994204
{'hecke_orbit_code': 94575592208345216, 'n': 63, 'trace_an': 0}
-
id: 157994205
{'hecke_orbit_code': 94575592208345216, 'n': 64, 'trace_an': 0}
-
id: 157994206
{'hecke_orbit_code': 94575592208345216, 'n': 65, 'trace_an': 1}
-
id: 157994207
{'hecke_orbit_code': 94575592208345216, 'n': 66, 'trace_an': 0}
-
id: 157994208
{'hecke_orbit_code': 94575592208345216, 'n': 67, 'trace_an': -10}
-
id: 157994209
{'hecke_orbit_code': 94575592208345216, 'n': 68, 'trace_an': 0}
-
id: 157994210
{'hecke_orbit_code': 94575592208345216, 'n': 69, 'trace_an': 0}
-
id: 157994211
{'hecke_orbit_code': 94575592208345216, 'n': 70, 'trace_an': 0}
-
id: 157994212
{'hecke_orbit_code': 94575592208345216, 'n': 71, 'trace_an': -6}
-
id: 157994213
{'hecke_orbit_code': 94575592208345216, 'n': 72, 'trace_an': 0}
-
id: 157994214
{'hecke_orbit_code': 94575592208345216, 'n': 73, 'trace_an': 11}
-
id: 157994215
{'hecke_orbit_code': 94575592208345216, 'n': 74, 'trace_an': 0}
-
id: 157994216
{'hecke_orbit_code': 94575592208345216, 'n': 75, 'trace_an': 0}
-
id: 157994217
{'hecke_orbit_code': 94575592208345216, 'n': 76, 'trace_an': 0}
-
id: 157994218
{'hecke_orbit_code': 94575592208345216, 'n': 77, 'trace_an': -8}
-
id: 157994219
{'hecke_orbit_code': 94575592208345216, 'n': 78, 'trace_an': 0}
-
id: 157994220
{'hecke_orbit_code': 94575592208345216, 'n': 79, 'trace_an': 4}
-
id: 157994221
{'hecke_orbit_code': 94575592208345216, 'n': 80, 'trace_an': 0}
-
id: 157994222
{'hecke_orbit_code': 94575592208345216, 'n': 81, 'trace_an': 0}
-
id: 157994223
{'hecke_orbit_code': 94575592208345216, 'n': 82, 'trace_an': 0}
-
id: 157994224
{'hecke_orbit_code': 94575592208345216, 'n': 83, 'trace_an': -6}
-
id: 157994225
{'hecke_orbit_code': 94575592208345216, 'n': 84, 'trace_an': 0}
-
id: 157994226
{'hecke_orbit_code': 94575592208345216, 'n': 85, 'trace_an': -5}
-
id: 157994227
{'hecke_orbit_code': 94575592208345216, 'n': 86, 'trace_an': 0}
-
id: 157994228
{'hecke_orbit_code': 94575592208345216, 'n': 87, 'trace_an': 0}
-
id: 157994229
{'hecke_orbit_code': 94575592208345216, 'n': 88, 'trace_an': 0}
-
id: 157994230
{'hecke_orbit_code': 94575592208345216, 'n': 89, 'trace_an': 7}
-
id: 157994231
{'hecke_orbit_code': 94575592208345216, 'n': 90, 'trace_an': 0}
-
id: 157994232
{'hecke_orbit_code': 94575592208345216, 'n': 91, 'trace_an': 2}
-
id: 157994233
{'hecke_orbit_code': 94575592208345216, 'n': 92, 'trace_an': 0}
-
id: 157994234
{'hecke_orbit_code': 94575592208345216, 'n': 93, 'trace_an': 0}
-
id: 157994235
{'hecke_orbit_code': 94575592208345216, 'n': 94, 'trace_an': 0}
-
id: 157994236
{'hecke_orbit_code': 94575592208345216, 'n': 95, 'trace_an': -2}
-
id: 157994237
{'hecke_orbit_code': 94575592208345216, 'n': 96, 'trace_an': 0}
-
id: 157994238
{'hecke_orbit_code': 94575592208345216, 'n': 97, 'trace_an': -2}
-
id: 157994239
{'hecke_orbit_code': 94575592208345216, 'n': 98, 'trace_an': 0}
-
id: 157994240
{'hecke_orbit_code': 94575592208345216, 'n': 99, 'trace_an': 0}
-
id: 157994241
{'hecke_orbit_code': 94575592208345216, 'n': 100, 'trace_an': 0}