-
mf_newforms • Show schema
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{'Nk2': 52416, 'analytic_conductor': 104.63596680868582, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [7, -1], [13, -1]], 'atkin_lehner_string': '-+--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [13104, 1, [8191, 9829, 5825, 5617, 2017], [23, 23, 23, 23, 23]], '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': 23, 'hecke_orbit_code': 99079191835718448, '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': '13104.2.a.w', 'level': 13104, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{5}+q^{7}+5q^{11}+q^{13}-q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/13104/w'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '13104.2.a', 'trace_display': [0, 0, -1, 1], 'traces': [1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 5, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 5, 0, -4, 0, 0, 0, -1, 0, 6, 0, 0, 0, -1, 0, 7, 0, 0, 0, -2, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -6, 0, -5, 0, 0, 0, 6, 0, -7, 0, 0, 0, -1, 0, 8, 0, 0, 0, 10, 0, 9, 0, 0, 0, 5, 0, -2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 6, 0, 1, 0, 0, 0, -1, 0, 14, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 13104.2.a.w does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [6, 12, 12, 6, 15, 12, 12, 15, 8, 8, 10, 10, 14, 14, 13, 13], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [155, 158, 154, 158, 155, 148, 152, 151, 162, 152, 154, 156, 146, 156, 153, 151], 'Nk2': 52416, 'analytic_conductor': 104.63596680868582, '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': [13104, 1, [8191, 9829, 5825, 5617, 2017], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2641, 'dim': 180, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_orbit_code': 33567536, '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, 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, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6], 'label': '13104.2.a', 'level': 13104, '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, 7, 13], 'level_radical': 546, 'mf_dim': 2736, 'mf_new_dim': 180, 'num_forms': 106, 'plus_dim': 81, 'prim_orbit_index': 1, 'relative_dim': 180, 'sturm_bound': 5376, 'trace_display': [0, 0, 0, 2], 'traces': [180, 0, 0, 0, 0, 0, 2, 0, 0, 0, 16, 0, 0, 0, 0, 0, -8, 0, -16, 0, 0, 0, 4, 0, 180, 0, 0, 0, -8, 0, -16, 0, 0, 0, 0, 0, -8, 0, 0, 0, 8, 0, -12, 0, 0, 0, 24, 0, 180, 0, 0, 0, -8, 0, -16, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -8, 0, 0, 0, -48, 0, 24, 0, 0, 0, -8, 0, -12, 0, 0, 0, -24, 0, 16, 0, 0, 0, -8, 0, -6, 0, 0, 0, -12, 0, 24, 0, 0, 0, 0, 0, -112, 0, 0, 0, -64, 0, 8, 0, 0, 0, -8, 0, -88, 0, 0, 0, -20, 0, 188, 0, 0, 0, 0, 0, 40, 0, 0, 0, -24, 0, -16, 0, 0, 0, 24, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 64, 0, 0, 0, 28, 0, 48, 0, 0, 0, -16, 0, -80, 0, 0, 0, 8, 0, 180, 0, 0, 0, 16, 0, 14, 0, 0, 0, 4, 0, 64, 0, 0, 0, 80, 0, 104, 0, 0, 0, 16, 0, 40, 0, 0, 0, 8, 0, -64, 0, 0, 0, 28, 0, 16, 0, 0, 0, 16, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, -24, 0, 16, 0, 0, 0, 24, 0, 100, 0, 0, 0, 16, 0, 104, 0, 0, 0, 0, 0, 12, 0, 0, 0, 80, 0, -64, 0, 0, 0, 72, 0, 4, 0, 0, 0, -60, 0, 96, 0, 0, 0, -16, 0, 32, 0, 0, 0, -32, 0, -8, 0, 0, 0, -40, 0, 168, 0, 0, 0, -12, 0, 236, 0, 0, 0, 112, 0, 64, 0, 0, 0, 0, 0, -8, 0, 0, 0, 48, 0, 72, 0, 0, 0, 144, 0, -24, 0, 0, 0, 8, 0, 216, 0, 0, 0, 104, 0, 32, 0, 0, 0, 16, 0, 48, 0, 0, 0, 32, 0, -40, 0, 0, 0, 0, 0, 2, 0, 0, 0, 48, 0, 32, 0, 0, 0, 8, 0, 136, 0, 0, 0, 0, 0, 284, 0, 0, 0, 144, 0, 8, 0, 0, 0, 76, 0, -40, 0, 0, 0, 0, 0, -80, 0, 0, 0, -112, 0, 16, 0, 0, 0, 24, 0, 32, 0, 0, 0, -352, 0, -64, 0, 0, 0, 56, 0, -12, 0, 0, 0, 136, 0, 40, 0, 0, 0, 0, 0, 28, 0, 0, 0, 152, 0, 24, 0, 0, 0, -88, 0, -12, 0, 0, 0, -152, 0, 24, 0, 0, 0, 64, 0, -40, 0, 0, 0, -108, 0, 64, 0, 0, 0, 24, 0, 128, 0, 0, 0, -20, 0, -56, 0, 0, 0, 80, 0, 136, 0, 0, 0, -64, 0, -8, 0, 0, 0, 32, 0, -16, 0, 0, 0, -16, 0, -16, 0, 0, 0, 96, 0, 152, 0, 0, 0, -16, 0, -32, 0, 0, 0, -32, 0, 104, 0, 0, 0, -168, 0, 80, 0, 0, 0, 160, 0, 0, 0, 0, 0, 176, 0, 48, 0, 0, 0, 136, 0, 64, 0, 0, 0, -64, 0, 196, 0, 0, 0, 0, 0, 56, 0, 0, 0, 16, 0, -104, 0, 0, 0, 96, 0, 156, 0, 0, 0, 232, 0, -16, 0, 0, 0, 56, 0, 0, 0, 0, 0, -304, 0, -96, 0, 0, 0, -40, 0, -44, 0, 0, 0, -120, 0, -56, 0, 0, 0, 0, 0, 64, 0, 0, 0, 72, 0, -112, 0, 0, 0, 152, 0, 0, 0, 0, 0, 52, 0, 72, 0, 0, 0, -176, 0, 112, 0, 0, 0, 60, 0, -200, 0, 0, 0, 24, 0, 168, 0, 0, 0, -24, 0, 324, 0, 0, 0, -144, 0, 160, 0, 0, 0, 88, 0, 0, 0, 0, 0, -88, 0, 152, 0, 0, 0, 328, 0, 160, 0, 0, 0, -184, 0, 144, 0, 0, 0, 300, 0, -48, 0, 0, 0, 32, 0, 172, 0, 0, 0, -48, 0, 88, 0, 0, 0, -96, 0, 48, 0, 0, 0, 32, 0, -112, 0, 0, 0, 16, 0, 176, 0, 0, 0, -8, 0, 112, 0, 0, 0, 24, 0, 72, 0, 0, 0, 36, 0, -168, 0, 0, 0, 144, 0, -40, 0, 0, 0, 304, 0, 16, 0, 0, 0, -72, 0, 192, 0, 0, 0, -184, 0, -128, 0, 0, 0, 24, 0, 216, 0, 0, 0, -96, 0, 48, 0, 0, 0, -56, 0, -76, 0, 0, 0, -144, 0, -40, 0, 0, 0, 8, 0, 52, 0, 0, 0, -56, 0, 136, 0, 0, 0, -128, 0, -88, 0, 0, 0, -216, 0, 64, 0, 0, 0, 144, 0, 56, 0, 0, 0, -60, 0, 64, 0, 0, 0, 0, 0, 248, 0, 0, 0, -24, 0, 32, 0, 0, 0, 96, 0, 184, 0, 0, 0, -112, 0, 0, 0, 0, 0, -136, 0, 72, 0, 0, 0, 216, 0, -208, 0, 0, 0, -8, 0, 396, 0, 0, 0, -128, 0, 180, 0, 0, 0, 0, 0, 26, 0, 0, 0, 312, 0, -64, 0, 0, 0, 8, 0, -72, 0, 0, 0, 264, 0, 144, 0, 0, 0, -176, 0, 0, 0, 0, 0, -12, 0, 56, 0, 0, 0, 136, 0, -384, 0, 0, 0, 208, 0, -64, 0, 0, 0, -144, 0, 48, 0, 0, 0, -16, 0, -64, 0, 0, 0, 176, 0, -236, 0, 0, 0, 4, 0, 192, 0, 0, 0, 80, 0, 152, 0, 0, 0, 24, 0, -104, 0, 0, 0, 168, 0, -16, 0, 0, 0, -224, 0, 88, 0, 0, 0, 32, 0, -96, 0, 0, 0, 232, 0, 0, 0, 0, 0, 144, 0, -184, 0, 0, 0, 28, 0, 324, 0, 0, 0, 144, 0, 152, 0, 0, 0, 208, 0, 0, 0, 0, 0, -56, 0, -88, 0, 0, 0, 200, 0, 288, 0, 0, 0, -192, 0, -184, 0, 0, 0, 424, 0, -144, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 13104.2.a.w does not appear in mf_twists_nf
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hecke_orbit_code 99079191835718448 does not appear in mf_hecke_charpolys
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label 13104.2.a.w does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 158986942
{'hecke_orbit_code': 99079191835718448, 'n': 1, 'trace_an': 1}
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id: 158986943
{'hecke_orbit_code': 99079191835718448, 'n': 2, 'trace_an': 0}
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id: 158986944
{'hecke_orbit_code': 99079191835718448, 'n': 3, 'trace_an': 0}
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id: 158986945
{'hecke_orbit_code': 99079191835718448, 'n': 4, 'trace_an': 0}
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id: 158986946
{'hecke_orbit_code': 99079191835718448, 'n': 5, 'trace_an': -1}
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id: 158986947
{'hecke_orbit_code': 99079191835718448, 'n': 6, 'trace_an': 0}
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id: 158986948
{'hecke_orbit_code': 99079191835718448, 'n': 7, 'trace_an': 1}
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id: 158986949
{'hecke_orbit_code': 99079191835718448, 'n': 8, 'trace_an': 0}
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id: 158986950
{'hecke_orbit_code': 99079191835718448, 'n': 9, 'trace_an': 0}
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id: 158986951
{'hecke_orbit_code': 99079191835718448, 'n': 10, 'trace_an': 0}
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id: 158986952
{'hecke_orbit_code': 99079191835718448, 'n': 11, 'trace_an': 5}
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id: 158986953
{'hecke_orbit_code': 99079191835718448, 'n': 12, 'trace_an': 0}
-
id: 158986954
{'hecke_orbit_code': 99079191835718448, 'n': 13, 'trace_an': 1}
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id: 158986955
{'hecke_orbit_code': 99079191835718448, 'n': 14, 'trace_an': 0}
-
id: 158986956
{'hecke_orbit_code': 99079191835718448, 'n': 15, 'trace_an': 0}
-
id: 158986957
{'hecke_orbit_code': 99079191835718448, 'n': 16, 'trace_an': 0}
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id: 158986958
{'hecke_orbit_code': 99079191835718448, 'n': 17, 'trace_an': -1}
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id: 158986959
{'hecke_orbit_code': 99079191835718448, 'n': 18, 'trace_an': 0}
-
id: 158986960
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-
id: 158986961
{'hecke_orbit_code': 99079191835718448, 'n': 20, 'trace_an': 0}
-
id: 158986962
{'hecke_orbit_code': 99079191835718448, 'n': 21, 'trace_an': 0}
-
id: 158986963
{'hecke_orbit_code': 99079191835718448, 'n': 22, 'trace_an': 0}
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id: 158986964
{'hecke_orbit_code': 99079191835718448, 'n': 23, 'trace_an': 5}
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id: 158986965
{'hecke_orbit_code': 99079191835718448, 'n': 24, 'trace_an': 0}
-
id: 158986966
{'hecke_orbit_code': 99079191835718448, 'n': 25, 'trace_an': -4}
-
id: 158986967
{'hecke_orbit_code': 99079191835718448, 'n': 26, 'trace_an': 0}
-
id: 158986968
{'hecke_orbit_code': 99079191835718448, 'n': 27, 'trace_an': 0}
-
id: 158986969
{'hecke_orbit_code': 99079191835718448, 'n': 28, 'trace_an': 0}
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id: 158986970
{'hecke_orbit_code': 99079191835718448, 'n': 29, 'trace_an': -1}
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id: 158986971
{'hecke_orbit_code': 99079191835718448, 'n': 30, 'trace_an': 0}
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id: 158986972
{'hecke_orbit_code': 99079191835718448, 'n': 31, 'trace_an': 6}
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id: 158986973
{'hecke_orbit_code': 99079191835718448, 'n': 32, 'trace_an': 0}
-
id: 158986974
{'hecke_orbit_code': 99079191835718448, 'n': 33, 'trace_an': 0}
-
id: 158986975
{'hecke_orbit_code': 99079191835718448, 'n': 34, 'trace_an': 0}
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id: 158986976
{'hecke_orbit_code': 99079191835718448, 'n': 35, 'trace_an': -1}
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id: 158986977
{'hecke_orbit_code': 99079191835718448, 'n': 36, 'trace_an': 0}
-
id: 158986978
{'hecke_orbit_code': 99079191835718448, 'n': 37, 'trace_an': 7}
-
id: 158986979
{'hecke_orbit_code': 99079191835718448, 'n': 38, 'trace_an': 0}
-
id: 158986980
{'hecke_orbit_code': 99079191835718448, 'n': 39, 'trace_an': 0}
-
id: 158986981
{'hecke_orbit_code': 99079191835718448, 'n': 40, 'trace_an': 0}
-
id: 158986982
{'hecke_orbit_code': 99079191835718448, 'n': 41, 'trace_an': -2}
-
id: 158986983
{'hecke_orbit_code': 99079191835718448, 'n': 42, 'trace_an': 0}
-
id: 158986984
{'hecke_orbit_code': 99079191835718448, 'n': 43, 'trace_an': -1}
-
id: 158986985
{'hecke_orbit_code': 99079191835718448, 'n': 44, 'trace_an': 0}
-
id: 158986986
{'hecke_orbit_code': 99079191835718448, 'n': 45, 'trace_an': 0}
-
id: 158986987
{'hecke_orbit_code': 99079191835718448, 'n': 46, 'trace_an': 0}
-
id: 158986988
{'hecke_orbit_code': 99079191835718448, 'n': 47, 'trace_an': 0}
-
id: 158986989
{'hecke_orbit_code': 99079191835718448, 'n': 48, 'trace_an': 0}
-
id: 158986990
{'hecke_orbit_code': 99079191835718448, 'n': 49, 'trace_an': 1}
-
id: 158986991
{'hecke_orbit_code': 99079191835718448, 'n': 50, 'trace_an': 0}
-
id: 158986992
{'hecke_orbit_code': 99079191835718448, 'n': 51, 'trace_an': 0}
-
id: 158986993
{'hecke_orbit_code': 99079191835718448, 'n': 52, 'trace_an': 0}
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id: 158986994
{'hecke_orbit_code': 99079191835718448, 'n': 53, 'trace_an': -6}
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id: 158986995
{'hecke_orbit_code': 99079191835718448, 'n': 54, 'trace_an': 0}
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id: 158986996
{'hecke_orbit_code': 99079191835718448, 'n': 55, 'trace_an': -5}
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id: 158986997
{'hecke_orbit_code': 99079191835718448, 'n': 56, 'trace_an': 0}
-
id: 158986998
{'hecke_orbit_code': 99079191835718448, 'n': 57, 'trace_an': 0}
-
id: 158986999
{'hecke_orbit_code': 99079191835718448, 'n': 58, 'trace_an': 0}
-
id: 158987000
{'hecke_orbit_code': 99079191835718448, 'n': 59, 'trace_an': 6}
-
id: 158987001
{'hecke_orbit_code': 99079191835718448, 'n': 60, 'trace_an': 0}
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id: 158987002
{'hecke_orbit_code': 99079191835718448, 'n': 61, 'trace_an': -7}
-
id: 158987003
{'hecke_orbit_code': 99079191835718448, 'n': 62, 'trace_an': 0}
-
id: 158987004
{'hecke_orbit_code': 99079191835718448, 'n': 63, 'trace_an': 0}
-
id: 158987005
{'hecke_orbit_code': 99079191835718448, 'n': 64, 'trace_an': 0}
-
id: 158987006
{'hecke_orbit_code': 99079191835718448, 'n': 65, 'trace_an': -1}
-
id: 158987007
{'hecke_orbit_code': 99079191835718448, 'n': 66, 'trace_an': 0}
-
id: 158987008
{'hecke_orbit_code': 99079191835718448, 'n': 67, 'trace_an': 8}
-
id: 158987009
{'hecke_orbit_code': 99079191835718448, 'n': 68, 'trace_an': 0}
-
id: 158987010
{'hecke_orbit_code': 99079191835718448, 'n': 69, 'trace_an': 0}
-
id: 158987011
{'hecke_orbit_code': 99079191835718448, 'n': 70, 'trace_an': 0}
-
id: 158987012
{'hecke_orbit_code': 99079191835718448, 'n': 71, 'trace_an': 10}
-
id: 158987013
{'hecke_orbit_code': 99079191835718448, 'n': 72, 'trace_an': 0}
-
id: 158987014
{'hecke_orbit_code': 99079191835718448, 'n': 73, 'trace_an': 9}
-
id: 158987015
{'hecke_orbit_code': 99079191835718448, 'n': 74, 'trace_an': 0}
-
id: 158987016
{'hecke_orbit_code': 99079191835718448, 'n': 75, 'trace_an': 0}
-
id: 158987017
{'hecke_orbit_code': 99079191835718448, 'n': 76, 'trace_an': 0}
-
id: 158987018
{'hecke_orbit_code': 99079191835718448, 'n': 77, 'trace_an': 5}
-
id: 158987019
{'hecke_orbit_code': 99079191835718448, 'n': 78, 'trace_an': 0}
-
id: 158987020
{'hecke_orbit_code': 99079191835718448, 'n': 79, 'trace_an': -2}
-
id: 158987021
{'hecke_orbit_code': 99079191835718448, 'n': 80, 'trace_an': 0}
-
id: 158987022
{'hecke_orbit_code': 99079191835718448, 'n': 81, 'trace_an': 0}
-
id: 158987023
{'hecke_orbit_code': 99079191835718448, 'n': 82, 'trace_an': 0}
-
id: 158987024
{'hecke_orbit_code': 99079191835718448, 'n': 83, 'trace_an': 2}
-
id: 158987025
{'hecke_orbit_code': 99079191835718448, 'n': 84, 'trace_an': 0}
-
id: 158987026
{'hecke_orbit_code': 99079191835718448, 'n': 85, 'trace_an': 1}
-
id: 158987027
{'hecke_orbit_code': 99079191835718448, 'n': 86, 'trace_an': 0}
-
id: 158987028
{'hecke_orbit_code': 99079191835718448, 'n': 87, 'trace_an': 0}
-
id: 158987029
{'hecke_orbit_code': 99079191835718448, 'n': 88, 'trace_an': 0}
-
id: 158987030
{'hecke_orbit_code': 99079191835718448, 'n': 89, 'trace_an': 6}
-
id: 158987031
{'hecke_orbit_code': 99079191835718448, 'n': 90, 'trace_an': 0}
-
id: 158987032
{'hecke_orbit_code': 99079191835718448, 'n': 91, 'trace_an': 1}
-
id: 158987033
{'hecke_orbit_code': 99079191835718448, 'n': 92, 'trace_an': 0}
-
id: 158987034
{'hecke_orbit_code': 99079191835718448, 'n': 93, 'trace_an': 0}
-
id: 158987035
{'hecke_orbit_code': 99079191835718448, 'n': 94, 'trace_an': 0}
-
id: 158987036
{'hecke_orbit_code': 99079191835718448, 'n': 95, 'trace_an': -1}
-
id: 158987037
{'hecke_orbit_code': 99079191835718448, 'n': 96, 'trace_an': 0}
-
id: 158987038
{'hecke_orbit_code': 99079191835718448, 'n': 97, 'trace_an': 14}
-
id: 158987039
{'hecke_orbit_code': 99079191835718448, 'n': 98, 'trace_an': 0}
-
id: 158987040
{'hecke_orbit_code': 99079191835718448, 'n': 99, 'trace_an': 0}
-
id: 158987041
{'hecke_orbit_code': 99079191835718448, 'n': 100, 'trace_an': 0}