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mf_newforms • Show schema
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{'Nk2': 171912, 'analytic_conductor': 343.18105780705883, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [13, 1], [19, 1], [29, -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': [42978, 1, [14327, 33061, 2263, 14821], [14, 14, 14, 14]], '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': 0, 'hecke_orbit': 14, 'hecke_orbit_code': 58546795189413858, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '42978.2.a.n', 'level': 42978, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 13, 19, 29], 'level_radical': 42978, 'minimal_twist': '42978.2.a.n', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}-3q^{7}+\\cdots', 'related_objects': ['EllipticCurve/Q/42978/n'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '42978.2.a', 'trace_display': [1, -1, 2, -3], 'traces': [1, 1, -1, 1, 2, -1, -3, 1, 1, 2, 6, -1, -1, -3, -2, 1, -1, 1, -1, 2, 3, 6, -8, -1, -1, -1, -1, -3, 1, -2, -1, 1, -6, -1, -6, 1, -1, -1, 1, 2, -2, 3, 8, 6, 2, -8, 3, -1, 2, -1, 1, -1, -4, -1, 12, -3, 1, 1, 8, -2, 10, -1, -3, 1, -2, -6, -7, -1, 8, -6, -15, 1, 10, -1, 1, -1, -18, 1, 10, 2, 1, -2, -11, 3, -2, 8, -1, 6, 5, 2, 3, -8, 1, 3, -2, -1, -8, 2, 6, -1], 'weight': 2, 'weight_parity': 1}
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label 42978.2.a.n does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [35, 29, 30, 32, 27, 34, 35, 30, 32, 29, 30, 35, 32, 32, 33, 29, 32, 29, 29, 36, 29, 35, 35, 27, 26, 38, 38, 24, 37, 24, 24, 40], 'Nk2': 171912, 'analytic_conductor': 343.18105780705883, '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': [42978, 1, [14327, 33061, 2263, 14821], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 8385, 'dim': 1007, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_orbit_code': 33597410, 'label': '42978.2.a', 'level': 42978, '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': True, 'level_primes': [2, 3, 13, 19, 29], 'level_radical': 42978, 'mf_dim': 8416, 'mf_new_dim': 1007, 'plus_dim': 468, 'prim_orbit_index': 1, 'relative_dim': 1007, 'sturm_bound': 16800, 'trace_display': [-1, -1, 10, 8], 'traces': [1007, -1, -1, 1007, 10, -1, 8, -1, 1007, 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source_label 42978.2.a.n does not appear in mf_twists_nf
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hecke_orbit_code 58546795189413858 does not appear in mf_hecke_charpolys
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label 42978.2.a.n does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 149918742
{'hecke_orbit_code': 58546795189413858, 'n': 1, 'trace_an': 1}
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id: 149918743
{'hecke_orbit_code': 58546795189413858, 'n': 2, 'trace_an': 1}
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id: 149918744
{'hecke_orbit_code': 58546795189413858, 'n': 3, 'trace_an': -1}
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id: 149918745
{'hecke_orbit_code': 58546795189413858, 'n': 4, 'trace_an': 1}
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id: 149918746
{'hecke_orbit_code': 58546795189413858, 'n': 5, 'trace_an': 2}
-
id: 149918747
{'hecke_orbit_code': 58546795189413858, 'n': 6, 'trace_an': -1}
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id: 149918748
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id: 149918749
{'hecke_orbit_code': 58546795189413858, 'n': 8, 'trace_an': 1}
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id: 149918750
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-
id: 149918751
{'hecke_orbit_code': 58546795189413858, 'n': 10, 'trace_an': 2}
-
id: 149918752
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-
id: 149918753
{'hecke_orbit_code': 58546795189413858, 'n': 12, 'trace_an': -1}
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id: 149918754
{'hecke_orbit_code': 58546795189413858, 'n': 13, 'trace_an': -1}
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id: 149918755
{'hecke_orbit_code': 58546795189413858, 'n': 14, 'trace_an': -3}
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id: 149918756
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id: 149918757
{'hecke_orbit_code': 58546795189413858, 'n': 16, 'trace_an': 1}
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id: 149918758
{'hecke_orbit_code': 58546795189413858, 'n': 17, 'trace_an': -1}
-
id: 149918759
{'hecke_orbit_code': 58546795189413858, 'n': 18, 'trace_an': 1}
-
id: 149918760
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id: 149918761
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id: 149918762
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id: 149918763
{'hecke_orbit_code': 58546795189413858, 'n': 22, 'trace_an': 6}
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id: 149918764
{'hecke_orbit_code': 58546795189413858, 'n': 23, 'trace_an': -8}
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id: 149918765
{'hecke_orbit_code': 58546795189413858, 'n': 24, 'trace_an': -1}
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id: 149918766
{'hecke_orbit_code': 58546795189413858, 'n': 25, 'trace_an': -1}
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id: 149918767
{'hecke_orbit_code': 58546795189413858, 'n': 26, 'trace_an': -1}
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id: 149918768
{'hecke_orbit_code': 58546795189413858, 'n': 27, 'trace_an': -1}
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id: 149918769
{'hecke_orbit_code': 58546795189413858, 'n': 28, 'trace_an': -3}
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id: 149918770
{'hecke_orbit_code': 58546795189413858, 'n': 29, 'trace_an': 1}
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id: 149918771
{'hecke_orbit_code': 58546795189413858, 'n': 30, 'trace_an': -2}
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id: 149918772
{'hecke_orbit_code': 58546795189413858, 'n': 31, 'trace_an': -1}
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id: 149918773
{'hecke_orbit_code': 58546795189413858, 'n': 32, 'trace_an': 1}
-
id: 149918774
{'hecke_orbit_code': 58546795189413858, 'n': 33, 'trace_an': -6}
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id: 149918775
{'hecke_orbit_code': 58546795189413858, 'n': 34, 'trace_an': -1}
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id: 149918776
{'hecke_orbit_code': 58546795189413858, 'n': 35, 'trace_an': -6}
-
id: 149918777
{'hecke_orbit_code': 58546795189413858, 'n': 36, 'trace_an': 1}
-
id: 149918778
{'hecke_orbit_code': 58546795189413858, 'n': 37, 'trace_an': -1}
-
id: 149918779
{'hecke_orbit_code': 58546795189413858, 'n': 38, 'trace_an': -1}
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id: 149918780
{'hecke_orbit_code': 58546795189413858, 'n': 39, 'trace_an': 1}
-
id: 149918781
{'hecke_orbit_code': 58546795189413858, 'n': 40, 'trace_an': 2}
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id: 149918782
{'hecke_orbit_code': 58546795189413858, 'n': 41, 'trace_an': -2}
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id: 149918783
{'hecke_orbit_code': 58546795189413858, 'n': 42, 'trace_an': 3}
-
id: 149918784
{'hecke_orbit_code': 58546795189413858, 'n': 43, 'trace_an': 8}
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id: 149918785
{'hecke_orbit_code': 58546795189413858, 'n': 44, 'trace_an': 6}
-
id: 149918786
{'hecke_orbit_code': 58546795189413858, 'n': 45, 'trace_an': 2}
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id: 149918787
{'hecke_orbit_code': 58546795189413858, 'n': 46, 'trace_an': -8}
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id: 149918788
{'hecke_orbit_code': 58546795189413858, 'n': 47, 'trace_an': 3}
-
id: 149918789
{'hecke_orbit_code': 58546795189413858, 'n': 48, 'trace_an': -1}
-
id: 149918790
{'hecke_orbit_code': 58546795189413858, 'n': 49, 'trace_an': 2}
-
id: 149918791
{'hecke_orbit_code': 58546795189413858, 'n': 50, 'trace_an': -1}
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id: 149918792
{'hecke_orbit_code': 58546795189413858, 'n': 51, 'trace_an': 1}
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id: 149918793
{'hecke_orbit_code': 58546795189413858, 'n': 52, 'trace_an': -1}
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id: 149918794
{'hecke_orbit_code': 58546795189413858, 'n': 53, 'trace_an': -4}
-
id: 149918795
{'hecke_orbit_code': 58546795189413858, 'n': 54, 'trace_an': -1}
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id: 149918796
{'hecke_orbit_code': 58546795189413858, 'n': 55, 'trace_an': 12}
-
id: 149918797
{'hecke_orbit_code': 58546795189413858, 'n': 56, 'trace_an': -3}
-
id: 149918798
{'hecke_orbit_code': 58546795189413858, 'n': 57, 'trace_an': 1}
-
id: 149918799
{'hecke_orbit_code': 58546795189413858, 'n': 58, 'trace_an': 1}
-
id: 149918800
{'hecke_orbit_code': 58546795189413858, 'n': 59, 'trace_an': 8}
-
id: 149918801
{'hecke_orbit_code': 58546795189413858, 'n': 60, 'trace_an': -2}
-
id: 149918802
{'hecke_orbit_code': 58546795189413858, 'n': 61, 'trace_an': 10}
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id: 149918803
{'hecke_orbit_code': 58546795189413858, 'n': 62, 'trace_an': -1}
-
id: 149918804
{'hecke_orbit_code': 58546795189413858, 'n': 63, 'trace_an': -3}
-
id: 149918805
{'hecke_orbit_code': 58546795189413858, 'n': 64, 'trace_an': 1}
-
id: 149918806
{'hecke_orbit_code': 58546795189413858, 'n': 65, 'trace_an': -2}
-
id: 149918807
{'hecke_orbit_code': 58546795189413858, 'n': 66, 'trace_an': -6}
-
id: 149918808
{'hecke_orbit_code': 58546795189413858, 'n': 67, 'trace_an': -7}
-
id: 149918809
{'hecke_orbit_code': 58546795189413858, 'n': 68, 'trace_an': -1}
-
id: 149918810
{'hecke_orbit_code': 58546795189413858, 'n': 69, 'trace_an': 8}
-
id: 149918811
{'hecke_orbit_code': 58546795189413858, 'n': 70, 'trace_an': -6}
-
id: 149918812
{'hecke_orbit_code': 58546795189413858, 'n': 71, 'trace_an': -15}
-
id: 149918813
{'hecke_orbit_code': 58546795189413858, 'n': 72, 'trace_an': 1}
-
id: 149918814
{'hecke_orbit_code': 58546795189413858, 'n': 73, 'trace_an': 10}
-
id: 149918815
{'hecke_orbit_code': 58546795189413858, 'n': 74, 'trace_an': -1}
-
id: 149918816
{'hecke_orbit_code': 58546795189413858, 'n': 75, 'trace_an': 1}
-
id: 149918817
{'hecke_orbit_code': 58546795189413858, 'n': 76, 'trace_an': -1}
-
id: 149918818
{'hecke_orbit_code': 58546795189413858, 'n': 77, 'trace_an': -18}
-
id: 149918819
{'hecke_orbit_code': 58546795189413858, 'n': 78, 'trace_an': 1}
-
id: 149918820
{'hecke_orbit_code': 58546795189413858, 'n': 79, 'trace_an': 10}
-
id: 149918821
{'hecke_orbit_code': 58546795189413858, 'n': 80, 'trace_an': 2}
-
id: 149918822
{'hecke_orbit_code': 58546795189413858, 'n': 81, 'trace_an': 1}
-
id: 149918823
{'hecke_orbit_code': 58546795189413858, 'n': 82, 'trace_an': -2}
-
id: 149918824
{'hecke_orbit_code': 58546795189413858, 'n': 83, 'trace_an': -11}
-
id: 149918825
{'hecke_orbit_code': 58546795189413858, 'n': 84, 'trace_an': 3}
-
id: 149918826
{'hecke_orbit_code': 58546795189413858, 'n': 85, 'trace_an': -2}
-
id: 149918827
{'hecke_orbit_code': 58546795189413858, 'n': 86, 'trace_an': 8}
-
id: 149918828
{'hecke_orbit_code': 58546795189413858, 'n': 87, 'trace_an': -1}
-
id: 149918829
{'hecke_orbit_code': 58546795189413858, 'n': 88, 'trace_an': 6}
-
id: 149918830
{'hecke_orbit_code': 58546795189413858, 'n': 89, 'trace_an': 5}
-
id: 149918831
{'hecke_orbit_code': 58546795189413858, 'n': 90, 'trace_an': 2}
-
id: 149918832
{'hecke_orbit_code': 58546795189413858, 'n': 91, 'trace_an': 3}
-
id: 149918833
{'hecke_orbit_code': 58546795189413858, 'n': 92, 'trace_an': -8}
-
id: 149918834
{'hecke_orbit_code': 58546795189413858, 'n': 93, 'trace_an': 1}
-
id: 149918835
{'hecke_orbit_code': 58546795189413858, 'n': 94, 'trace_an': 3}
-
id: 149918836
{'hecke_orbit_code': 58546795189413858, 'n': 95, 'trace_an': -2}
-
id: 149918837
{'hecke_orbit_code': 58546795189413858, 'n': 96, 'trace_an': -1}
-
id: 149918838
{'hecke_orbit_code': 58546795189413858, 'n': 97, 'trace_an': -8}
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id: 149918839
{'hecke_orbit_code': 58546795189413858, 'n': 98, 'trace_an': 2}
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id: 149918840
{'hecke_orbit_code': 58546795189413858, 'n': 99, 'trace_an': 6}
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id: 149918841
{'hecke_orbit_code': 58546795189413858, 'n': 100, 'trace_an': -1}