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mf_newforms • Show schema
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{'Nk2': 105840, 'analytic_conductor': 211.2841637483079, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -1], [7, -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': [26460, 1, [13231, 16661, 15877, 1081], [26, 26, 26, 26]], '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': 26, 'hecke_orbit_code': 112589990717843292, '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': '26460.2.a.z', 'level': 26460, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{5}-2q^{13}-3q^{17}-5q^{19}-3q^{23}+\\cdots', 'related_objects': ['EllipticCurve/Q/26460/z'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '26460.2.a', 'trace_display': [0, 0, 1, 0], 'traces': [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -3, 0, -5, 0, 0, 0, -3, 0, 1, 0, 0, 0, 6, 0, -5, 0, 0, 0, 0, 0, 2, 0, 0, 0, 12, 0, 8, 0, 0, 0, -12, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 6, 0, 7, 0, 0, 0, -2, 0, 2, 0, 0, 0, -12, 0, 16, 0, 0, 0, 0, 0, -1, 0, 0, 0, -15, 0, -3, 0, 0, 0, -12, 0, 0, 0, 0, 0, -5, 0, 16, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 26460.2.a.z does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 26, 29, 26, 29, 27, 27, 27, 27], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [23, 24, 24, 24, 24, 24, 24, 24, 12, 12, 12, 12, 12, 12, 12, 12], 'ALdims_old': [353, 379, 380, 353, 376, 355, 356, 377, 342, 348, 350, 338, 353, 338, 337, 352], 'Nk2': 105840, 'analytic_conductor': 211.2841637483079, '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': [26460, 1, [13231, 16661, 15877, 1081], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 5905, 'dim': 218, 'eis_dim': 287, 'eis_new_dim': 0, 'hecke_orbit_code': 33580892, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8], 'label': '26460.2.a', 'level': 26460, '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, 7], 'level_radical': 210, 'mf_dim': 6192, 'mf_new_dim': 218, 'num_forms': 80, 'plus_dim': 109, 'prim_orbit_index': 1, 'relative_dim': 218, 'sturm_bound': 12096, 'trace_display': [0, 0, 0, 0], 'traces': [218, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 218, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, -46, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 138, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -86, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -94, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 78, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 78, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -116, 0, 0, 0, 0, 0, 226, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, -122, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -202, 0, 0, 0, 0, 0, -130, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -116, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, -266, 0, 0, 0, 0, 0, -110, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, -252, 0, 0, 0, 0, 0, -142, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -134, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, -86, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -74, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 74, 0, 0, 0, 0, 0, 358, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, -218, 0, 0, 0, 0, 0, -26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -106, 0, 0, 0, 0, 0, 162, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, -26, 0, 0, 0, 0, 0, -122, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 218, 0, 0, 0, 0, 0, -122, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -374, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 226, 0, 0, 0, 0, 0, 102, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 296, 0, 0, 0, 0, 0, 196, 0, 0, 0, 0, 0, -312, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -242, 0, 0, 0, 0, 0, -294, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 214, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, -118, 0, 0, 0, 0, 0, -26, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 196, 0, 0, 0, 0, 0, 282, 0, 0, 0, 0, 0, 134, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 422, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -202, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 138, 0, 0, 0, 0, 0, -206, 0, 0, 0, 0, 0, -98, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, -310, 0, 0, 0, 0, 0, -140, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -122, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 354, 0, 0, 0, 0, 0, 146, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 78, 0, 0, 0, 0, 0, -72, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 26460.2.a.z does not appear in mf_twists_nf
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hecke_orbit_code 112589990717843292 does not appear in mf_hecke_charpolys
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label 26460.2.a.z does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 161721142
{'hecke_orbit_code': 112589990717843292, 'n': 1, 'trace_an': 1}
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id: 161721143
{'hecke_orbit_code': 112589990717843292, 'n': 2, 'trace_an': 0}
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id: 161721144
{'hecke_orbit_code': 112589990717843292, 'n': 3, 'trace_an': 0}
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id: 161721145
{'hecke_orbit_code': 112589990717843292, 'n': 4, 'trace_an': 0}
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id: 161721146
{'hecke_orbit_code': 112589990717843292, 'n': 5, 'trace_an': 1}
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id: 161721147
{'hecke_orbit_code': 112589990717843292, 'n': 6, 'trace_an': 0}
-
id: 161721148
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id: 161721149
{'hecke_orbit_code': 112589990717843292, 'n': 8, 'trace_an': 0}
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id: 161721150
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id: 161721151
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-
id: 161721152
{'hecke_orbit_code': 112589990717843292, 'n': 11, 'trace_an': 0}
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id: 161721153
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id: 161721154
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id: 161721155
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-
id: 161721156
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-
id: 161721157
{'hecke_orbit_code': 112589990717843292, 'n': 16, 'trace_an': 0}
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id: 161721158
{'hecke_orbit_code': 112589990717843292, 'n': 17, 'trace_an': -3}
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id: 161721159
{'hecke_orbit_code': 112589990717843292, 'n': 18, 'trace_an': 0}
-
id: 161721160
{'hecke_orbit_code': 112589990717843292, 'n': 19, 'trace_an': -5}
-
id: 161721161
{'hecke_orbit_code': 112589990717843292, 'n': 20, 'trace_an': 0}
-
id: 161721162
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-
id: 161721163
{'hecke_orbit_code': 112589990717843292, 'n': 22, 'trace_an': 0}
-
id: 161721164
{'hecke_orbit_code': 112589990717843292, 'n': 23, 'trace_an': -3}
-
id: 161721165
{'hecke_orbit_code': 112589990717843292, 'n': 24, 'trace_an': 0}
-
id: 161721166
{'hecke_orbit_code': 112589990717843292, 'n': 25, 'trace_an': 1}
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id: 161721167
{'hecke_orbit_code': 112589990717843292, 'n': 26, 'trace_an': 0}
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id: 161721168
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-
id: 161721169
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id: 161721170
{'hecke_orbit_code': 112589990717843292, 'n': 29, 'trace_an': 6}
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id: 161721171
{'hecke_orbit_code': 112589990717843292, 'n': 30, 'trace_an': 0}
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id: 161721172
{'hecke_orbit_code': 112589990717843292, 'n': 31, 'trace_an': -5}
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id: 161721173
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id: 161721174
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id: 161721175
{'hecke_orbit_code': 112589990717843292, 'n': 34, 'trace_an': 0}
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id: 161721176
{'hecke_orbit_code': 112589990717843292, 'n': 35, 'trace_an': 0}
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id: 161721177
{'hecke_orbit_code': 112589990717843292, 'n': 36, 'trace_an': 0}
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id: 161721178
{'hecke_orbit_code': 112589990717843292, 'n': 37, 'trace_an': 2}
-
id: 161721179
{'hecke_orbit_code': 112589990717843292, 'n': 38, 'trace_an': 0}
-
id: 161721180
{'hecke_orbit_code': 112589990717843292, 'n': 39, 'trace_an': 0}
-
id: 161721181
{'hecke_orbit_code': 112589990717843292, 'n': 40, 'trace_an': 0}
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id: 161721182
{'hecke_orbit_code': 112589990717843292, 'n': 41, 'trace_an': 12}
-
id: 161721183
{'hecke_orbit_code': 112589990717843292, 'n': 42, 'trace_an': 0}
-
id: 161721184
{'hecke_orbit_code': 112589990717843292, 'n': 43, 'trace_an': 8}
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id: 161721185
{'hecke_orbit_code': 112589990717843292, 'n': 44, 'trace_an': 0}
-
id: 161721186
{'hecke_orbit_code': 112589990717843292, 'n': 45, 'trace_an': 0}
-
id: 161721187
{'hecke_orbit_code': 112589990717843292, 'n': 46, 'trace_an': 0}
-
id: 161721188
{'hecke_orbit_code': 112589990717843292, 'n': 47, 'trace_an': -12}
-
id: 161721189
{'hecke_orbit_code': 112589990717843292, 'n': 48, 'trace_an': 0}
-
id: 161721190
{'hecke_orbit_code': 112589990717843292, 'n': 49, 'trace_an': 0}
-
id: 161721191
{'hecke_orbit_code': 112589990717843292, 'n': 50, 'trace_an': 0}
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id: 161721192
{'hecke_orbit_code': 112589990717843292, 'n': 51, 'trace_an': 0}
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id: 161721193
{'hecke_orbit_code': 112589990717843292, 'n': 52, 'trace_an': 0}
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id: 161721194
{'hecke_orbit_code': 112589990717843292, 'n': 53, 'trace_an': 3}
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id: 161721195
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id: 161721196
{'hecke_orbit_code': 112589990717843292, 'n': 55, 'trace_an': 0}
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id: 161721197
{'hecke_orbit_code': 112589990717843292, 'n': 56, 'trace_an': 0}
-
id: 161721198
{'hecke_orbit_code': 112589990717843292, 'n': 57, 'trace_an': 0}
-
id: 161721199
{'hecke_orbit_code': 112589990717843292, 'n': 58, 'trace_an': 0}
-
id: 161721200
{'hecke_orbit_code': 112589990717843292, 'n': 59, 'trace_an': 6}
-
id: 161721201
{'hecke_orbit_code': 112589990717843292, 'n': 60, 'trace_an': 0}
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id: 161721202
{'hecke_orbit_code': 112589990717843292, 'n': 61, 'trace_an': 7}
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id: 161721203
{'hecke_orbit_code': 112589990717843292, 'n': 62, 'trace_an': 0}
-
id: 161721204
{'hecke_orbit_code': 112589990717843292, 'n': 63, 'trace_an': 0}
-
id: 161721205
{'hecke_orbit_code': 112589990717843292, 'n': 64, 'trace_an': 0}
-
id: 161721206
{'hecke_orbit_code': 112589990717843292, 'n': 65, 'trace_an': -2}
-
id: 161721207
{'hecke_orbit_code': 112589990717843292, 'n': 66, 'trace_an': 0}
-
id: 161721208
{'hecke_orbit_code': 112589990717843292, 'n': 67, 'trace_an': 2}
-
id: 161721209
{'hecke_orbit_code': 112589990717843292, 'n': 68, 'trace_an': 0}
-
id: 161721210
{'hecke_orbit_code': 112589990717843292, 'n': 69, 'trace_an': 0}
-
id: 161721211
{'hecke_orbit_code': 112589990717843292, 'n': 70, 'trace_an': 0}
-
id: 161721212
{'hecke_orbit_code': 112589990717843292, 'n': 71, 'trace_an': -12}
-
id: 161721213
{'hecke_orbit_code': 112589990717843292, 'n': 72, 'trace_an': 0}
-
id: 161721214
{'hecke_orbit_code': 112589990717843292, 'n': 73, 'trace_an': 16}
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id: 161721215
{'hecke_orbit_code': 112589990717843292, 'n': 74, 'trace_an': 0}
-
id: 161721216
{'hecke_orbit_code': 112589990717843292, 'n': 75, 'trace_an': 0}
-
id: 161721217
{'hecke_orbit_code': 112589990717843292, 'n': 76, 'trace_an': 0}
-
id: 161721218
{'hecke_orbit_code': 112589990717843292, 'n': 77, 'trace_an': 0}
-
id: 161721219
{'hecke_orbit_code': 112589990717843292, 'n': 78, 'trace_an': 0}
-
id: 161721220
{'hecke_orbit_code': 112589990717843292, 'n': 79, 'trace_an': -1}
-
id: 161721221
{'hecke_orbit_code': 112589990717843292, 'n': 80, 'trace_an': 0}
-
id: 161721222
{'hecke_orbit_code': 112589990717843292, 'n': 81, 'trace_an': 0}
-
id: 161721223
{'hecke_orbit_code': 112589990717843292, 'n': 82, 'trace_an': 0}
-
id: 161721224
{'hecke_orbit_code': 112589990717843292, 'n': 83, 'trace_an': -15}
-
id: 161721225
{'hecke_orbit_code': 112589990717843292, 'n': 84, 'trace_an': 0}
-
id: 161721226
{'hecke_orbit_code': 112589990717843292, 'n': 85, 'trace_an': -3}
-
id: 161721227
{'hecke_orbit_code': 112589990717843292, 'n': 86, 'trace_an': 0}
-
id: 161721228
{'hecke_orbit_code': 112589990717843292, 'n': 87, 'trace_an': 0}
-
id: 161721229
{'hecke_orbit_code': 112589990717843292, 'n': 88, 'trace_an': 0}
-
id: 161721230
{'hecke_orbit_code': 112589990717843292, 'n': 89, 'trace_an': -12}
-
id: 161721231
{'hecke_orbit_code': 112589990717843292, 'n': 90, 'trace_an': 0}
-
id: 161721232
{'hecke_orbit_code': 112589990717843292, 'n': 91, 'trace_an': 0}
-
id: 161721233
{'hecke_orbit_code': 112589990717843292, 'n': 92, 'trace_an': 0}
-
id: 161721234
{'hecke_orbit_code': 112589990717843292, 'n': 93, 'trace_an': 0}
-
id: 161721235
{'hecke_orbit_code': 112589990717843292, 'n': 94, 'trace_an': 0}
-
id: 161721236
{'hecke_orbit_code': 112589990717843292, 'n': 95, 'trace_an': -5}
-
id: 161721237
{'hecke_orbit_code': 112589990717843292, 'n': 96, 'trace_an': 0}
-
id: 161721238
{'hecke_orbit_code': 112589990717843292, 'n': 97, 'trace_an': 16}
-
id: 161721239
{'hecke_orbit_code': 112589990717843292, 'n': 98, 'trace_an': 0}
-
id: 161721240
{'hecke_orbit_code': 112589990717843292, 'n': 99, 'trace_an': 0}
-
id: 161721241
{'hecke_orbit_code': 112589990717843292, 'n': 100, 'trace_an': 0}