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mf_newforms • Show schema
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{'Nk2': 62400, 'analytic_conductor': 124.5666271531974, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -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': [15600, 1, [1951, 11701, 5201, 14977, 12001], [46, 46, 46, 46, 46]], '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': 46, 'hecke_orbit_code': 202661983265242352, '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': '15600.2.a.bt', 'level': 15600, '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^{3}-4q^{7}+q^{9}+6q^{11}-q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/15600/bt'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '15600.2.a', 'trace_display': [0, 1, 0, -4], 'traces': [1, 0, 1, 0, 0, 0, -4, 0, 1, 0, 6, 0, -1, 0, 0, 0, 4, 0, -2, 0, -4, 0, -6, 0, 0, 0, 1, 0, -10, 0, -4, 0, 6, 0, 0, 0, 6, 0, -1, 0, 10, 0, 0, 0, 0, 0, 8, 0, 9, 0, 4, 0, 6, 0, 0, 0, -2, 0, 6, 0, -6, 0, -4, 0, 0, 0, -12, 0, -6, 0, 0, 0, -2, 0, 0, 0, -24, 0, 8, 0, 1, 0, -4, 0, 0, 0, -10, 0, 14, 0, 4, 0, -4, 0, 0, 0, -14, 0, 6, 0], 'weight': 2, 'weight_parity': 1}
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label 15600.2.a.bt does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [15, 12, 14, 16, 15, 12, 14, 16, 13, 14, 14, 16, 11, 16, 18, 12], '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': [181, 201, 196, 188, 201, 186, 187, 191, 191, 196, 191, 187, 196, 185, 188, 196], 'Nk2': 62400, 'analytic_conductor': 124.5666271531974, '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': [15600, 1, [1951, 11701, 5201, 14977, 12001], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 3289, 'dim': 228, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_orbit_code': 33570032, '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, 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, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5], 'label': '15600.2.a', 'level': 15600, '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': 3432, 'mf_new_dim': 228, 'num_forms': 129, 'plus_dim': 108, 'prim_orbit_index': 1, 'relative_dim': 228, 'sturm_bound': 6720, 'trace_display': [0, 0, 0, 4], 'traces': [228, 0, 0, 0, 0, 0, 4, 0, 228, 0, 8, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 32, 0, 0, 0, 0, 0, -16, 0, -20, 0, -8, 0, 0, 0, -16, 0, -4, 0, 0, 0, 0, 0, 0, 0, -24, 0, 220, 0, -8, 0, -8, 0, 0, 0, 0, 0, 0, 0, 24, 0, 4, 0, 0, 0, -28, 0, 16, 0, -16, 0, -8, 0, 0, 0, -8, 0, 0, 0, 228, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, -16, 0, 0, 0, 8, 0, 8, 0, 8, 0, -32, 0, 0, 0, 32, 0, -16, 0, -16, 0, -32, 0, 0, 0, 0, 0, 72, 0, 204, 0, -12, 0, 0, 0, -24, 0, 0, 0, 0, 0, 56, 0, 0, 0, -64, 0, -40, 0, 32, 0, 0, 0, 0, 0, -32, 0, 48, 0, 20, 0, 0, 0, 0, 0, 48, 0, -32, 0, -64, 0, 20, 0, 0, 0, -104, 0, 228, 0, 4, 0, 72, 0, 0, 0, 8, 0, 128, 0, 48, 0, -8, 0, 0, 0, -80, 0, 0, 0, 80, 0, -72, 0, 0, 0, 0, 0, -8, 0, 0, 0, -40, 0, 0, 0, 32, 0, -40, 0, 64, 0, 16, 0, 0, 0, -40, 0, 24, 0, 8, 0, 4, 0, 0, 0, 8, 0, 48, 0, 24, 0, -56, 0, 0, 0, 32, 0, 160, 0, 40, 0, 0, 0, 0, 0, 12, 0, 24, 0, -80, 0, -16, 0, 0, 0, -24, 0, 88, 0, -16, 0, -16, 0, 0, 0, -36, 0, 16, 0, -100, 0, 0, 0, 0, 0, 24, 0, -20, 0, -48, 0, 24, 0, 0, 0, -80, 0, 220, 0, -24, 0, 80, 0, 0, 0, -8, 0, 0, 0, 32, 0, -24, 0, 0, 0, -132, 0, 0, 0, 0, 0, 64, 0, 0, 0, 32, 0, 48, 0, 48, 0, -120, 0, 0, 0, 72, 0, 8, 0, 12, 0, -16, 0, 0, 0, -16, 0, 16, 0, 8, 0, 8, 0, 0, 0, 128, 0, 48, 0, -4, 0, 32, 0, 0, 0, 16, 0, 40, 0, 220, 0, 88, 0, 0, 0, 88, 0, 0, 0, -8, 0, 32, 0, 0, 0, -8, 0, 164, 0, 32, 0, -56, 0, 0, 0, 0, 0, -16, 0, 224, 0, 48, 0, 0, 0, 64, 0, -48, 0, -48, 0, -12, 0, 0, 0, -80, 0, 56, 0, 124, 0, 120, 0, 0, 0, 32, 0, -48, 0, 0, 0, -24, 0, 0, 0, 120, 0, 0, 0, 104, 0, 8, 0, 0, 0, 0, 0, 176, 0, 220, 0, 64, 0, 0, 0, 76, 0, -144, 0, 0, 0, 96, 0, 0, 0, -8, 0, -8, 0, -48, 0, -60, 0, 0, 0, -80, 0, 88, 0, 96, 0, -128, 0, 0, 0, -8, 0, -176, 0, 8, 0, 32, 0, 0, 0, 68, 0, 16, 0, -320, 0, 112, 0, 0, 0, -8, 0, 188, 0, 16, 0, 80, 0, 0, 0, 0, 0, 16, 0, -360, 0, 0, 0, 0, 0, 24, 0, 88, 0, 96, 0, 120, 0, 0, 0, -8, 0, 228, 0, 0, 0, 0, 0, 0, 0, 0, 0, -408, 0, 16, 0, 48, 0, 0, 0, 88, 0, 24, 0, -136, 0, 48, 0, 0, 0, -32, 0, -32, 0, 48, 0, -32, 0, 0, 0, 4, 0, -88, 0, 8, 0, -16, 0, 0, 0, 88, 0, 48, 0, -24, 0, 144, 0, 0, 0, 144, 0, -24, 0, -20, 0, 32, 0, 0, 0, 32, 0, 112, 0, 160, 0, -28, 0, 0, 0, -40, 0, 144, 0, 0, 0, 144, 0, 0, 0, -48, 0, -220, 0, 16, 0, 64, 0, 0, 0, -136, 0, 16, 0, 100, 0, 80, 0, 0, 0, 8, 0, -16, 0, -160, 0, 84, 0, 0, 0, -112, 0, 72, 0, 48, 0, 176, 0, 0, 0, -8, 0, -96, 0, -64, 0, 16, 0, 0, 0, 48, 0, 80, 0, -592, 0, 48, 0, 0, 0, 56, 0, -104, 0, 152, 0, 200, 0, 0, 0, -8, 0, -16, 0, 60, 0, -8, 0, 0, 0, -96, 0, 120, 0, -304, 0, 136, 0, 0, 0, 8, 0, -192, 0, 0, 0, -64, 0, 0, 0, 16, 0, 48, 0, 176, 0, 120, 0, 0, 0, 136, 0, 228, 0, -432, 0, 96, 0, 0, 0, -136, 0, -172, 0, 0, 0, 144, 0, 0, 0, 0, 0, -192, 0, 48, 0, -16, 0, 0, 0, 24, 0, -48, 0, -32, 0, -8, 0, 0, 0, 24, 0, 168, 0, 8, 0, 160, 0, 0, 0, 0, 0, 544, 0, -216, 0, 0, 0, 0, 0, -196, 0, 0, 0, 232, 0, 32, 0, 0, 0, -16, 0, -544, 0, 0, 0, -208, 0, 0, 0, -16, 0, -128, 0, 660, 0, -48, 0, 0, 0, 0, 0, 12, 0, -144, 0, -144, 0, 0, 0, 24, 0, 136, 0, 48, 0, 80, 0, 0, 0, -16, 0, 448, 0, 60, 0, -60, 0, 0, 0, 52, 0, 16, 0, -48, 0, 48, 0, 0, 0, 104, 0, -64, 0, 48, 0, 40, 0, 0, 0, 0, 0, -320, 0, -20, 0, 8, 0, 0, 0, -16, 0, -188, 0, -152, 0, 8, 0, 0, 0, -160, 0, 64, 0, 8, 0, 40, 0, 0, 0, 0, 0, -152, 0, -32, 0, 80, 0, 0, 0, 24, 0, 8, 0, 32, 0, -40, 0, 0, 0, -128, 0, 656, 0, -96, 0, 24, 0, 0, 0, -32, 0, -16, 0, -156, 0, 48, 0, 0, 0, 40, 0, 104, 0, -224, 0, -80, 0, 0, 0, 448, 0, 0, 0, 156, 0, -216, 0, 0, 0, 16, 0, -224, 0, 412, 0, 32, 0, 0, 0, 84, 0, 80, 0, 512, 0, -144, 0, 0, 0, -176, 0, 208, 0, -16, 0, 32, 0, 0, 0, -72, 0, -352, 0, 216, 0, 16, 0, 0, 0, -88, 0, -16, 0], 'weight': 2, 'weight_parity': 1}
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source_label 15600.2.a.bt does not appear in mf_twists_nf
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hecke_orbit_code 202661983265242352 does not appear in mf_hecke_charpolys
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label 15600.2.a.bt does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 171582842
{'hecke_orbit_code': 202661983265242352, 'n': 1, 'trace_an': 1}
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id: 171582843
{'hecke_orbit_code': 202661983265242352, 'n': 2, 'trace_an': 0}
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id: 171582844
{'hecke_orbit_code': 202661983265242352, 'n': 3, 'trace_an': 1}
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id: 171582845
{'hecke_orbit_code': 202661983265242352, 'n': 4, 'trace_an': 0}
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id: 171582846
{'hecke_orbit_code': 202661983265242352, 'n': 5, 'trace_an': 0}
-
id: 171582847
{'hecke_orbit_code': 202661983265242352, 'n': 6, 'trace_an': 0}
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id: 171582848
{'hecke_orbit_code': 202661983265242352, 'n': 7, 'trace_an': -4}
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id: 171582849
{'hecke_orbit_code': 202661983265242352, 'n': 8, 'trace_an': 0}
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id: 171582850
{'hecke_orbit_code': 202661983265242352, 'n': 9, 'trace_an': 1}
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id: 171582851
{'hecke_orbit_code': 202661983265242352, 'n': 10, 'trace_an': 0}
-
id: 171582852
{'hecke_orbit_code': 202661983265242352, 'n': 11, 'trace_an': 6}
-
id: 171582853
{'hecke_orbit_code': 202661983265242352, 'n': 12, 'trace_an': 0}
-
id: 171582854
{'hecke_orbit_code': 202661983265242352, 'n': 13, 'trace_an': -1}
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id: 171582855
{'hecke_orbit_code': 202661983265242352, 'n': 14, 'trace_an': 0}
-
id: 171582856
{'hecke_orbit_code': 202661983265242352, 'n': 15, 'trace_an': 0}
-
id: 171582857
{'hecke_orbit_code': 202661983265242352, 'n': 16, 'trace_an': 0}
-
id: 171582858
{'hecke_orbit_code': 202661983265242352, 'n': 17, 'trace_an': 4}
-
id: 171582859
{'hecke_orbit_code': 202661983265242352, 'n': 18, 'trace_an': 0}
-
id: 171582860
{'hecke_orbit_code': 202661983265242352, 'n': 19, 'trace_an': -2}
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id: 171582861
{'hecke_orbit_code': 202661983265242352, 'n': 20, 'trace_an': 0}
-
id: 171582862
{'hecke_orbit_code': 202661983265242352, 'n': 21, 'trace_an': -4}
-
id: 171582863
{'hecke_orbit_code': 202661983265242352, 'n': 22, 'trace_an': 0}
-
id: 171582864
{'hecke_orbit_code': 202661983265242352, 'n': 23, 'trace_an': -6}
-
id: 171582865
{'hecke_orbit_code': 202661983265242352, 'n': 24, 'trace_an': 0}
-
id: 171582866
{'hecke_orbit_code': 202661983265242352, 'n': 25, 'trace_an': 0}
-
id: 171582867
{'hecke_orbit_code': 202661983265242352, 'n': 26, 'trace_an': 0}
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id: 171582868
{'hecke_orbit_code': 202661983265242352, 'n': 27, 'trace_an': 1}
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id: 171582869
{'hecke_orbit_code': 202661983265242352, 'n': 28, 'trace_an': 0}
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id: 171582870
{'hecke_orbit_code': 202661983265242352, 'n': 29, 'trace_an': -10}
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id: 171582871
{'hecke_orbit_code': 202661983265242352, 'n': 30, 'trace_an': 0}
-
id: 171582872
{'hecke_orbit_code': 202661983265242352, 'n': 31, 'trace_an': -4}
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id: 171582873
{'hecke_orbit_code': 202661983265242352, 'n': 32, 'trace_an': 0}
-
id: 171582874
{'hecke_orbit_code': 202661983265242352, 'n': 33, 'trace_an': 6}
-
id: 171582875
{'hecke_orbit_code': 202661983265242352, 'n': 34, 'trace_an': 0}
-
id: 171582876
{'hecke_orbit_code': 202661983265242352, 'n': 35, 'trace_an': 0}
-
id: 171582877
{'hecke_orbit_code': 202661983265242352, 'n': 36, 'trace_an': 0}
-
id: 171582878
{'hecke_orbit_code': 202661983265242352, 'n': 37, 'trace_an': 6}
-
id: 171582879
{'hecke_orbit_code': 202661983265242352, 'n': 38, 'trace_an': 0}
-
id: 171582880
{'hecke_orbit_code': 202661983265242352, 'n': 39, 'trace_an': -1}
-
id: 171582881
{'hecke_orbit_code': 202661983265242352, 'n': 40, 'trace_an': 0}
-
id: 171582882
{'hecke_orbit_code': 202661983265242352, 'n': 41, 'trace_an': 10}
-
id: 171582883
{'hecke_orbit_code': 202661983265242352, 'n': 42, 'trace_an': 0}
-
id: 171582884
{'hecke_orbit_code': 202661983265242352, 'n': 43, 'trace_an': 0}
-
id: 171582885
{'hecke_orbit_code': 202661983265242352, 'n': 44, 'trace_an': 0}
-
id: 171582886
{'hecke_orbit_code': 202661983265242352, 'n': 45, 'trace_an': 0}
-
id: 171582887
{'hecke_orbit_code': 202661983265242352, 'n': 46, 'trace_an': 0}
-
id: 171582888
{'hecke_orbit_code': 202661983265242352, 'n': 47, 'trace_an': 8}
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id: 171582889
{'hecke_orbit_code': 202661983265242352, 'n': 48, 'trace_an': 0}
-
id: 171582890
{'hecke_orbit_code': 202661983265242352, 'n': 49, 'trace_an': 9}
-
id: 171582891
{'hecke_orbit_code': 202661983265242352, 'n': 50, 'trace_an': 0}
-
id: 171582892
{'hecke_orbit_code': 202661983265242352, 'n': 51, 'trace_an': 4}
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id: 171582893
{'hecke_orbit_code': 202661983265242352, 'n': 52, 'trace_an': 0}
-
id: 171582894
{'hecke_orbit_code': 202661983265242352, 'n': 53, 'trace_an': 6}
-
id: 171582895
{'hecke_orbit_code': 202661983265242352, 'n': 54, 'trace_an': 0}
-
id: 171582896
{'hecke_orbit_code': 202661983265242352, 'n': 55, 'trace_an': 0}
-
id: 171582897
{'hecke_orbit_code': 202661983265242352, 'n': 56, 'trace_an': 0}
-
id: 171582898
{'hecke_orbit_code': 202661983265242352, 'n': 57, 'trace_an': -2}
-
id: 171582899
{'hecke_orbit_code': 202661983265242352, 'n': 58, 'trace_an': 0}
-
id: 171582900
{'hecke_orbit_code': 202661983265242352, 'n': 59, 'trace_an': 6}
-
id: 171582901
{'hecke_orbit_code': 202661983265242352, 'n': 60, 'trace_an': 0}
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id: 171582902
{'hecke_orbit_code': 202661983265242352, 'n': 61, 'trace_an': -6}
-
id: 171582903
{'hecke_orbit_code': 202661983265242352, 'n': 62, 'trace_an': 0}
-
id: 171582904
{'hecke_orbit_code': 202661983265242352, 'n': 63, 'trace_an': -4}
-
id: 171582905
{'hecke_orbit_code': 202661983265242352, 'n': 64, 'trace_an': 0}
-
id: 171582906
{'hecke_orbit_code': 202661983265242352, 'n': 65, 'trace_an': 0}
-
id: 171582907
{'hecke_orbit_code': 202661983265242352, 'n': 66, 'trace_an': 0}
-
id: 171582908
{'hecke_orbit_code': 202661983265242352, 'n': 67, 'trace_an': -12}
-
id: 171582909
{'hecke_orbit_code': 202661983265242352, 'n': 68, 'trace_an': 0}
-
id: 171582910
{'hecke_orbit_code': 202661983265242352, 'n': 69, 'trace_an': -6}
-
id: 171582911
{'hecke_orbit_code': 202661983265242352, 'n': 70, 'trace_an': 0}
-
id: 171582912
{'hecke_orbit_code': 202661983265242352, 'n': 71, 'trace_an': 0}
-
id: 171582913
{'hecke_orbit_code': 202661983265242352, 'n': 72, 'trace_an': 0}
-
id: 171582914
{'hecke_orbit_code': 202661983265242352, 'n': 73, 'trace_an': -2}
-
id: 171582915
{'hecke_orbit_code': 202661983265242352, 'n': 74, 'trace_an': 0}
-
id: 171582916
{'hecke_orbit_code': 202661983265242352, 'n': 75, 'trace_an': 0}
-
id: 171582917
{'hecke_orbit_code': 202661983265242352, 'n': 76, 'trace_an': 0}
-
id: 171582918
{'hecke_orbit_code': 202661983265242352, 'n': 77, 'trace_an': -24}
-
id: 171582919
{'hecke_orbit_code': 202661983265242352, 'n': 78, 'trace_an': 0}
-
id: 171582920
{'hecke_orbit_code': 202661983265242352, 'n': 79, 'trace_an': 8}
-
id: 171582921
{'hecke_orbit_code': 202661983265242352, 'n': 80, 'trace_an': 0}
-
id: 171582922
{'hecke_orbit_code': 202661983265242352, 'n': 81, 'trace_an': 1}
-
id: 171582923
{'hecke_orbit_code': 202661983265242352, 'n': 82, 'trace_an': 0}
-
id: 171582924
{'hecke_orbit_code': 202661983265242352, 'n': 83, 'trace_an': -4}
-
id: 171582925
{'hecke_orbit_code': 202661983265242352, 'n': 84, 'trace_an': 0}
-
id: 171582926
{'hecke_orbit_code': 202661983265242352, 'n': 85, 'trace_an': 0}
-
id: 171582927
{'hecke_orbit_code': 202661983265242352, 'n': 86, 'trace_an': 0}
-
id: 171582928
{'hecke_orbit_code': 202661983265242352, 'n': 87, 'trace_an': -10}
-
id: 171582929
{'hecke_orbit_code': 202661983265242352, 'n': 88, 'trace_an': 0}
-
id: 171582930
{'hecke_orbit_code': 202661983265242352, 'n': 89, 'trace_an': 14}
-
id: 171582931
{'hecke_orbit_code': 202661983265242352, 'n': 90, 'trace_an': 0}
-
id: 171582932
{'hecke_orbit_code': 202661983265242352, 'n': 91, 'trace_an': 4}
-
id: 171582933
{'hecke_orbit_code': 202661983265242352, 'n': 92, 'trace_an': 0}
-
id: 171582934
{'hecke_orbit_code': 202661983265242352, 'n': 93, 'trace_an': -4}
-
id: 171582935
{'hecke_orbit_code': 202661983265242352, 'n': 94, 'trace_an': 0}
-
id: 171582936
{'hecke_orbit_code': 202661983265242352, 'n': 95, 'trace_an': 0}
-
id: 171582937
{'hecke_orbit_code': 202661983265242352, 'n': 96, 'trace_an': 0}
-
id: 171582938
{'hecke_orbit_code': 202661983265242352, 'n': 97, 'trace_an': -14}
-
id: 171582939
{'hecke_orbit_code': 202661983265242352, 'n': 98, 'trace_an': 0}
-
id: 171582940
{'hecke_orbit_code': 202661983265242352, 'n': 99, 'trace_an': 6}
-
id: 171582941
{'hecke_orbit_code': 202661983265242352, 'n': 100, 'trace_an': 0}