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mf_newforms • Show schema
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{'Nk2': 84672, 'analytic_conductor': 169.0273309986463, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, -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': [21168, 1, [13231, 15877, 785, 11665], [90, 90, 90, 90]], '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': 90, 'hecke_orbit_code': 400820366869549744, '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': '21168.2.a.dl', 'level': 21168, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+3q^{5}+4q^{13}+6q^{17}-4q^{19}+6q^{23}+\\cdots', 'related_objects': ['EllipticCurve/Q/21168/dl'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '21168.2.a', 'trace_display': [0, 0, 3, 0], 'traces': [1, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 6, 0, -4, 0, 0, 0, 6, 0, 4, 0, 0, 0, 3, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, -6, 0, -8, 0, 0, 0, -6, 0, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, 3, 0, 10, 0, 0, 0, 12, 0, 10, 0, 0, 0, 6, 0, 7, 0, 0, 0, 0, 0, -17, 0, 0, 0, 12, 0, 18, 0, 0, 0, 6, 0, 0, 0, 0, 0, -12, 0, 10, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 21168.2.a.dl does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [38, 45, 42, 39, 40, 42, 40, 42], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [35, 36, 36, 36, 36, 36, 36, 36], 'ALdims_old': [443, 444, 450, 444, 452, 441, 440, 447], 'Nk2': 84672, 'analytic_conductor': 169.0273309986463, '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': [21168, 1, [13231, 15877, 785, 11665], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 3889, 'dim': 328, 'eis_dim': 287, 'eis_new_dim': 0, 'hecke_orbit_code': 33575600, '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, 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, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6], 'label': '21168.2.a', 'level': 21168, '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, 7], 'level_radical': 42, 'mf_dim': 4176, 'mf_new_dim': 328, 'num_forms': 179, 'plus_dim': 159, 'prim_orbit_index': 1, 'relative_dim': 328, 'sturm_bound': 8064, 'trace_display': [0, 0, 0, 0], 'traces': [328, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 324, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 340, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -58, 0, 0, 0, 0, 0, 348, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -58, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -106, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, -114, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 296, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, -78, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 404, 0, 0, 0, 0, 0, -142, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 150, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 82, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 274, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, 94, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 118, 0, 0, 0, 0, 0, 376, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -106, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 228, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 62, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 38, 0, 0, 0, 0, 0, 368, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 158, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -260, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 124, 0, 0, 0, 0, 0, 246, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -272, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 118, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, 344, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -254, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 248, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 178, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 148, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, -268, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 304, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, -194, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 424, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 338, 0, 0, 0, 0, 0, 88, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 21168.2.a.dl does not appear in mf_twists_nf
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hecke_orbit_code 400820366869549744 does not appear in mf_hecke_charpolys
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label 21168.2.a.dl does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 180593042
{'hecke_orbit_code': 400820366869549744, 'n': 1, 'trace_an': 1}
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id: 180593043
{'hecke_orbit_code': 400820366869549744, 'n': 2, 'trace_an': 0}
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id: 180593044
{'hecke_orbit_code': 400820366869549744, 'n': 3, 'trace_an': 0}
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id: 180593045
{'hecke_orbit_code': 400820366869549744, 'n': 4, 'trace_an': 0}
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id: 180593046
{'hecke_orbit_code': 400820366869549744, 'n': 5, 'trace_an': 3}
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id: 180593047
{'hecke_orbit_code': 400820366869549744, 'n': 6, 'trace_an': 0}
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id: 180593048
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id: 180593049
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id: 180593050
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id: 180593051
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-
id: 180593052
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id: 180593053
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id: 180593054
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id: 180593055
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id: 180593056
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id: 180593057
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id: 180593058
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id: 180593059
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id: 180593060
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id: 180593061
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-
id: 180593062
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-
id: 180593063
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-
id: 180593064
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id: 180593065
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id: 180593066
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id: 180593067
{'hecke_orbit_code': 400820366869549744, 'n': 26, 'trace_an': 0}
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id: 180593068
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-
id: 180593069
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id: 180593070
{'hecke_orbit_code': 400820366869549744, 'n': 29, 'trace_an': 3}
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id: 180593071
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id: 180593072
{'hecke_orbit_code': 400820366869549744, 'n': 31, 'trace_an': 8}
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id: 180593073
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id: 180593074
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id: 180593075
{'hecke_orbit_code': 400820366869549744, 'n': 34, 'trace_an': 0}
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id: 180593076
{'hecke_orbit_code': 400820366869549744, 'n': 35, 'trace_an': 0}
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id: 180593077
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-
id: 180593078
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id: 180593079
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id: 180593080
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id: 180593081
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-
id: 180593082
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id: 180593083
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id: 180593084
{'hecke_orbit_code': 400820366869549744, 'n': 43, 'trace_an': -8}
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id: 180593085
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-
id: 180593086
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id: 180593087
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id: 180593088
{'hecke_orbit_code': 400820366869549744, 'n': 47, 'trace_an': -6}
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id: 180593089
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-
id: 180593090
{'hecke_orbit_code': 400820366869549744, 'n': 49, 'trace_an': 0}
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id: 180593091
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-
id: 180593092
{'hecke_orbit_code': 400820366869549744, 'n': 51, 'trace_an': 0}
-
id: 180593093
{'hecke_orbit_code': 400820366869549744, 'n': 52, 'trace_an': 0}
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id: 180593094
{'hecke_orbit_code': 400820366869549744, 'n': 53, 'trace_an': -9}
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id: 180593095
{'hecke_orbit_code': 400820366869549744, 'n': 54, 'trace_an': 0}
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id: 180593096
{'hecke_orbit_code': 400820366869549744, 'n': 55, 'trace_an': 0}
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id: 180593097
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id: 180593098
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id: 180593099
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id: 180593100
{'hecke_orbit_code': 400820366869549744, 'n': 59, 'trace_an': 3}
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id: 180593101
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id: 180593102
{'hecke_orbit_code': 400820366869549744, 'n': 61, 'trace_an': 10}
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id: 180593103
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id: 180593104
{'hecke_orbit_code': 400820366869549744, 'n': 63, 'trace_an': 0}
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id: 180593105
{'hecke_orbit_code': 400820366869549744, 'n': 64, 'trace_an': 0}
-
id: 180593106
{'hecke_orbit_code': 400820366869549744, 'n': 65, 'trace_an': 12}
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id: 180593107
{'hecke_orbit_code': 400820366869549744, 'n': 66, 'trace_an': 0}
-
id: 180593108
{'hecke_orbit_code': 400820366869549744, 'n': 67, 'trace_an': 10}
-
id: 180593109
{'hecke_orbit_code': 400820366869549744, 'n': 68, 'trace_an': 0}
-
id: 180593110
{'hecke_orbit_code': 400820366869549744, 'n': 69, 'trace_an': 0}
-
id: 180593111
{'hecke_orbit_code': 400820366869549744, 'n': 70, 'trace_an': 0}
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id: 180593112
{'hecke_orbit_code': 400820366869549744, 'n': 71, 'trace_an': 6}
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id: 180593113
{'hecke_orbit_code': 400820366869549744, 'n': 72, 'trace_an': 0}
-
id: 180593114
{'hecke_orbit_code': 400820366869549744, 'n': 73, 'trace_an': 7}
-
id: 180593115
{'hecke_orbit_code': 400820366869549744, 'n': 74, 'trace_an': 0}
-
id: 180593116
{'hecke_orbit_code': 400820366869549744, 'n': 75, 'trace_an': 0}
-
id: 180593117
{'hecke_orbit_code': 400820366869549744, 'n': 76, 'trace_an': 0}
-
id: 180593118
{'hecke_orbit_code': 400820366869549744, 'n': 77, 'trace_an': 0}
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id: 180593119
{'hecke_orbit_code': 400820366869549744, 'n': 78, 'trace_an': 0}
-
id: 180593120
{'hecke_orbit_code': 400820366869549744, 'n': 79, 'trace_an': -17}
-
id: 180593121
{'hecke_orbit_code': 400820366869549744, 'n': 80, 'trace_an': 0}
-
id: 180593122
{'hecke_orbit_code': 400820366869549744, 'n': 81, 'trace_an': 0}
-
id: 180593123
{'hecke_orbit_code': 400820366869549744, 'n': 82, 'trace_an': 0}
-
id: 180593124
{'hecke_orbit_code': 400820366869549744, 'n': 83, 'trace_an': 12}
-
id: 180593125
{'hecke_orbit_code': 400820366869549744, 'n': 84, 'trace_an': 0}
-
id: 180593126
{'hecke_orbit_code': 400820366869549744, 'n': 85, 'trace_an': 18}
-
id: 180593127
{'hecke_orbit_code': 400820366869549744, 'n': 86, 'trace_an': 0}
-
id: 180593128
{'hecke_orbit_code': 400820366869549744, 'n': 87, 'trace_an': 0}
-
id: 180593129
{'hecke_orbit_code': 400820366869549744, 'n': 88, 'trace_an': 0}
-
id: 180593130
{'hecke_orbit_code': 400820366869549744, 'n': 89, 'trace_an': 6}
-
id: 180593131
{'hecke_orbit_code': 400820366869549744, 'n': 90, 'trace_an': 0}
-
id: 180593132
{'hecke_orbit_code': 400820366869549744, 'n': 91, 'trace_an': 0}
-
id: 180593133
{'hecke_orbit_code': 400820366869549744, 'n': 92, 'trace_an': 0}
-
id: 180593134
{'hecke_orbit_code': 400820366869549744, 'n': 93, 'trace_an': 0}
-
id: 180593135
{'hecke_orbit_code': 400820366869549744, 'n': 94, 'trace_an': 0}
-
id: 180593136
{'hecke_orbit_code': 400820366869549744, 'n': 95, 'trace_an': -12}
-
id: 180593137
{'hecke_orbit_code': 400820366869549744, 'n': 96, 'trace_an': 0}
-
id: 180593138
{'hecke_orbit_code': 400820366869549744, 'n': 97, 'trace_an': 10}
-
id: 180593139
{'hecke_orbit_code': 400820366869549744, 'n': 98, 'trace_an': 0}
-
id: 180593140
{'hecke_orbit_code': 400820366869549744, 'n': 99, 'trace_an': 0}
-
id: 180593141
{'hecke_orbit_code': 400820366869549744, 'n': 100, 'trace_an': 0}