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mf_newforms • Show schema
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{'Nk2': 113568, 'analytic_conductor': 226.71126141881928, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, -1], [13, -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': [28392, 1, [21295, 14197, 18929, 12169, 28225], [22, 22, 22, 22, 22]], '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': 22, 'hecke_orbit_code': 94575592208363240, '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': '28392.2.a.v', 'level': 28392, '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^{3}-3q^{5}+q^{7}+q^{9}-4q^{11}-3q^{15}+\\cdots', 'related_objects': ['EllipticCurve/Q/28392/v'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '28392.2.a', 'trace_display': [0, 1, -3, 1], 'traces': [1, 0, 1, 0, -3, 0, 1, 0, 1, 0, -4, 0, 0, 0, -3, 0, -6, 0, -7, 0, 1, 0, -1, 0, 4, 0, 1, 0, 1, 0, -7, 0, -4, 0, -3, 0, -12, 0, 0, 0, -6, 0, -11, 0, -3, 0, -3, 0, 1, 0, -6, 0, -3, 0, 12, 0, -7, 0, 12, 0, -4, 0, 1, 0, 0, 0, 6, 0, -1, 0, -12, 0, -11, 0, 4, 0, -4, 0, -15, 0, 1, 0, -15, 0, 18, 0, 1, 0, 11, 0, 0, 0, -7, 0, 21, 0, -7, 0, -4, 0], 'weight': 2, 'weight_parity': 1}
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label 28392.2.a.v does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [25, 33, 31, 27, 31, 27, 25, 33, 28, 30, 29, 30, 29, 30, 28, 30], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14], 'ALdims_old': [319, 335, 333, 326, 326, 329, 339, 318, 343, 316, 321, 331, 328, 328, 322, 333], 'Nk2': 113568, 'analytic_conductor': 226.71126141881928, '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': [28392, 1, [21295, 14197, 18929, 12169, 28225], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 5713, 'dim': 466, 'eis_dim': 223, 'eis_new_dim': 0, 'hecke_orbit_code': 33582824, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 15, 15, 15, 15, 15, 15, 15, 15], 'label': '28392.2.a', 'level': 28392, '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': 5936, 'mf_new_dim': 466, 'num_forms': 96, 'plus_dim': 222, 'prim_orbit_index': 1, 'relative_dim': 466, 'sturm_bound': 11648, 'trace_display': [0, 0, -4, 0], 'traces': [466, 0, 0, 0, -4, 0, 0, 0, 466, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -2, 0, 8, 0, 462, 0, 0, 0, 4, 0, 16, 0, 0, 0, 0, 0, -12, 0, 0, 0, -4, 0, -8, 0, -4, 0, -32, 0, 466, 0, -8, 0, -12, 0, -32, 0, -8, 0, -32, 0, -4, 0, 0, 0, 0, 0, -16, 0, 0, 0, 8, 0, -20, 0, 0, 0, 0, 0, -16, 0, 466, 0, 16, 0, -8, 0, -16, 0, -36, 0, 0, 0, 0, 0, -48, 0, -36, 0, 0, 0, -52, 0, 32, 0, 4, 0, -80, 0, -28, 0, 0, 0, -52, 0, -32, 0, 0, 0, -8, 0, 434, 0, 32, 0, -24, 0, -16, 0, -32, 0, 16, 0, 16, 0, 0, 0, -4, 0, 48, 0, 0, 0, 0, 0, -72, 0, 0, 0, -12, 0, -16, 0, -4, 0, -48, 0, 12, 0, 32, 0, 0, 0, 16, 0, 16, 0, 48, 0, 0, 0, 0, 0, -316, 0, 0, 0, -32, 0, 16, 0, -52, 0, -8, 0, -240, 0, 0, 0, -2, 0, -24, 0, 4, 0, 0, 0, -12, 0, 32, 0, -16, 0, -16, 0, -304, 0, 8, 0, 16, 0, 24, 0, -32, 0, -128, 0, -8, 0, 16, 0, 0, 0, 64, 0, 462, 0, -112, 0, 12, 0, 0, 0, -204, 0, -16, 0, 16, 0, -104, 0, 12, 0, 0, 0, -4, 0, 0, 0, -16, 0, -64, 0, -64, 0, 80, 0, -36, 0, -32, 0, 4, 0, 8, 0, 56, 0, 64, 0, -252, 0, -32, 0, 0, 0, -144, 0, 60, 0, 16, 0, 76, 0, 144, 0, -64, 0, -8, 0, 454, 0, 32, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 88, 0, 80, 0, 72, 0, -96, 0, -300, 0, 0, 0, 52, 0, 80, 0, -32, 0, 48, 0, 0, 0, 64, 0, 32, 0, 48, 0, -12, 0, -48, 0, -60, 0, 0, 0, 64, 0, 0, 0, 0, 0, 48, 0, 76, 0, 0, 0, 92, 0, 80, 0, -4, 0, -88, 0, 482, 0, 96, 0, -272, 0, 80, 0, -4, 0, 16, 0, 76, 0, -48, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -8, 0, 68, 0, -32, 0, -56, 0, 176, 0, 44, 0, 0, 0, 28, 0, 0, 0, -4, 0, -144, 0, 76, 0, 32, 0, -8, 0, 96, 0, 48, 0, 48, 0, 68, 0, -32, 0, 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-80, 0, 8, 0, -16, 0, 860, 0, 112, 0, -80, 0, -16, 0, -92, 0, -16, 0, -80, 0, 0, 0, 16, 0, -144, 0, -24, 0, 80, 0, 932, 0, 16, 0, 466, 0, -80, 0, 60, 0, 0, 0, 16, 0, 112, 0, 0, 0, -40, 0, -608, 0, 16, 0, -16, 0, -128, 0, -88, 0, 192, 0, 804, 0, 192, 0, 140, 0, 16, 0, -8, 0, 0, 0, -20, 0, -40, 0, 140, 0, 128, 0, 20, 0, -160, 0, 48, 0, -16, 0, 312, 0, -192, 0, 64, 0, -32, 0, 0, 0, 48, 0, 1044, 0, 80, 0, -36, 0, 128, 0, -16, 0, -48, 0, 28, 0, -112, 0, 16, 0, -112, 0, 48, 0, 0, 0, 20, 0, 16, 0, -192, 0, -224, 0, -212, 0, 64, 0, -4, 0, -176, 0, 0, 0, 32, 0, 454, 0, -16, 0, 0, 0, -32, 0, 16, 0, -176, 0, 188, 0, -48, 0, 204, 0, 0, 0, -12, 0, -120, 0, 24, 0, 96, 0, -208, 0, 0, 0, -36, 0, -48, 0, 148, 0, -16, 0, 124, 0, 136, 0, 48, 0, -272, 0, 16, 0, 0, 0, -176, 0, -112, 0, 0, 0, -112, 0, 752, 0, -8, 0, 248, 0, -24, 0, -52, 0, -168, 0, 192, 0, -48, 0, -72, 0, 16, 0, 24, 0, 0, 0, -132, 0, 32, 0, 60, 0, 0, 0, 48, 0, -128, 0, 60, 0, 64, 0, -212, 0, -160, 0, 4, 0, -112, 0, 0, 0, -64, 0, -60, 0, -176, 0, 0, 0, -16, 0, 410, 0, -80, 0, 896, 0, -96, 0, -48, 0, -128, 0, -24, 0, 0, 0, 60, 0, -96, 0, -28, 0, -96, 0, 8, 0, 0, 0, -208, 0, -64, 0, 0, 0, -32, 0, 364, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 28392.2.a.v does not appear in mf_twists_nf
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hecke_orbit_code 94575592208363240 does not appear in mf_hecke_charpolys
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label 28392.2.a.v does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 158411842
{'hecke_orbit_code': 94575592208363240, 'n': 1, 'trace_an': 1}
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id: 158411843
{'hecke_orbit_code': 94575592208363240, 'n': 2, 'trace_an': 0}
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id: 158411844
{'hecke_orbit_code': 94575592208363240, 'n': 3, 'trace_an': 1}
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id: 158411845
{'hecke_orbit_code': 94575592208363240, 'n': 4, 'trace_an': 0}
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id: 158411846
{'hecke_orbit_code': 94575592208363240, 'n': 5, 'trace_an': -3}
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id: 158411847
{'hecke_orbit_code': 94575592208363240, 'n': 6, 'trace_an': 0}
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id: 158411848
{'hecke_orbit_code': 94575592208363240, 'n': 7, 'trace_an': 1}
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id: 158411849
{'hecke_orbit_code': 94575592208363240, 'n': 8, 'trace_an': 0}
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id: 158411850
{'hecke_orbit_code': 94575592208363240, 'n': 9, 'trace_an': 1}
-
id: 158411851
{'hecke_orbit_code': 94575592208363240, 'n': 10, 'trace_an': 0}
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id: 158411852
{'hecke_orbit_code': 94575592208363240, 'n': 11, 'trace_an': -4}
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id: 158411853
{'hecke_orbit_code': 94575592208363240, 'n': 12, 'trace_an': 0}
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id: 158411854
{'hecke_orbit_code': 94575592208363240, 'n': 13, 'trace_an': 0}
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id: 158411855
{'hecke_orbit_code': 94575592208363240, 'n': 14, 'trace_an': 0}
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id: 158411856
{'hecke_orbit_code': 94575592208363240, 'n': 15, 'trace_an': -3}
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id: 158411857
{'hecke_orbit_code': 94575592208363240, 'n': 16, 'trace_an': 0}
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id: 158411858
{'hecke_orbit_code': 94575592208363240, 'n': 17, 'trace_an': -6}
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id: 158411859
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id: 158411860
{'hecke_orbit_code': 94575592208363240, 'n': 19, 'trace_an': -7}
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id: 158411861
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id: 158411862
{'hecke_orbit_code': 94575592208363240, 'n': 21, 'trace_an': 1}
-
id: 158411863
{'hecke_orbit_code': 94575592208363240, 'n': 22, 'trace_an': 0}
-
id: 158411864
{'hecke_orbit_code': 94575592208363240, 'n': 23, 'trace_an': -1}
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id: 158411865
{'hecke_orbit_code': 94575592208363240, 'n': 24, 'trace_an': 0}
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id: 158411866
{'hecke_orbit_code': 94575592208363240, 'n': 25, 'trace_an': 4}
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id: 158411867
{'hecke_orbit_code': 94575592208363240, 'n': 26, 'trace_an': 0}
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id: 158411868
{'hecke_orbit_code': 94575592208363240, 'n': 27, 'trace_an': 1}
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id: 158411869
{'hecke_orbit_code': 94575592208363240, 'n': 28, 'trace_an': 0}
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id: 158411870
{'hecke_orbit_code': 94575592208363240, 'n': 29, 'trace_an': 1}
-
id: 158411871
{'hecke_orbit_code': 94575592208363240, 'n': 30, 'trace_an': 0}
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id: 158411872
{'hecke_orbit_code': 94575592208363240, 'n': 31, 'trace_an': -7}
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id: 158411873
{'hecke_orbit_code': 94575592208363240, 'n': 32, 'trace_an': 0}
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id: 158411874
{'hecke_orbit_code': 94575592208363240, 'n': 33, 'trace_an': -4}
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id: 158411875
{'hecke_orbit_code': 94575592208363240, 'n': 34, 'trace_an': 0}
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id: 158411876
{'hecke_orbit_code': 94575592208363240, 'n': 35, 'trace_an': -3}
-
id: 158411877
{'hecke_orbit_code': 94575592208363240, 'n': 36, 'trace_an': 0}
-
id: 158411878
{'hecke_orbit_code': 94575592208363240, 'n': 37, 'trace_an': -12}
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id: 158411879
{'hecke_orbit_code': 94575592208363240, 'n': 38, 'trace_an': 0}
-
id: 158411880
{'hecke_orbit_code': 94575592208363240, 'n': 39, 'trace_an': 0}
-
id: 158411881
{'hecke_orbit_code': 94575592208363240, 'n': 40, 'trace_an': 0}
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id: 158411882
{'hecke_orbit_code': 94575592208363240, 'n': 41, 'trace_an': -6}
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id: 158411883
{'hecke_orbit_code': 94575592208363240, 'n': 42, 'trace_an': 0}
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id: 158411884
{'hecke_orbit_code': 94575592208363240, 'n': 43, 'trace_an': -11}
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id: 158411885
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id: 158411886
{'hecke_orbit_code': 94575592208363240, 'n': 45, 'trace_an': -3}
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id: 158411887
{'hecke_orbit_code': 94575592208363240, 'n': 46, 'trace_an': 0}
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id: 158411888
{'hecke_orbit_code': 94575592208363240, 'n': 47, 'trace_an': -3}
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id: 158411889
{'hecke_orbit_code': 94575592208363240, 'n': 48, 'trace_an': 0}
-
id: 158411890
{'hecke_orbit_code': 94575592208363240, 'n': 49, 'trace_an': 1}
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id: 158411891
{'hecke_orbit_code': 94575592208363240, 'n': 50, 'trace_an': 0}
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id: 158411892
{'hecke_orbit_code': 94575592208363240, 'n': 51, 'trace_an': -6}
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id: 158411893
{'hecke_orbit_code': 94575592208363240, 'n': 52, 'trace_an': 0}
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id: 158411894
{'hecke_orbit_code': 94575592208363240, 'n': 53, 'trace_an': -3}
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id: 158411895
{'hecke_orbit_code': 94575592208363240, 'n': 54, 'trace_an': 0}
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id: 158411896
{'hecke_orbit_code': 94575592208363240, 'n': 55, 'trace_an': 12}
-
id: 158411897
{'hecke_orbit_code': 94575592208363240, 'n': 56, 'trace_an': 0}
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id: 158411898
{'hecke_orbit_code': 94575592208363240, 'n': 57, 'trace_an': -7}
-
id: 158411899
{'hecke_orbit_code': 94575592208363240, 'n': 58, 'trace_an': 0}
-
id: 158411900
{'hecke_orbit_code': 94575592208363240, 'n': 59, 'trace_an': 12}
-
id: 158411901
{'hecke_orbit_code': 94575592208363240, 'n': 60, 'trace_an': 0}
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id: 158411902
{'hecke_orbit_code': 94575592208363240, 'n': 61, 'trace_an': -4}
-
id: 158411903
{'hecke_orbit_code': 94575592208363240, 'n': 62, 'trace_an': 0}
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id: 158411904
{'hecke_orbit_code': 94575592208363240, 'n': 63, 'trace_an': 1}
-
id: 158411905
{'hecke_orbit_code': 94575592208363240, 'n': 64, 'trace_an': 0}
-
id: 158411906
{'hecke_orbit_code': 94575592208363240, 'n': 65, 'trace_an': 0}
-
id: 158411907
{'hecke_orbit_code': 94575592208363240, 'n': 66, 'trace_an': 0}
-
id: 158411908
{'hecke_orbit_code': 94575592208363240, 'n': 67, 'trace_an': 6}
-
id: 158411909
{'hecke_orbit_code': 94575592208363240, 'n': 68, 'trace_an': 0}
-
id: 158411910
{'hecke_orbit_code': 94575592208363240, 'n': 69, 'trace_an': -1}
-
id: 158411911
{'hecke_orbit_code': 94575592208363240, 'n': 70, 'trace_an': 0}
-
id: 158411912
{'hecke_orbit_code': 94575592208363240, 'n': 71, 'trace_an': -12}
-
id: 158411913
{'hecke_orbit_code': 94575592208363240, 'n': 72, 'trace_an': 0}
-
id: 158411914
{'hecke_orbit_code': 94575592208363240, 'n': 73, 'trace_an': -11}
-
id: 158411915
{'hecke_orbit_code': 94575592208363240, 'n': 74, 'trace_an': 0}
-
id: 158411916
{'hecke_orbit_code': 94575592208363240, 'n': 75, 'trace_an': 4}
-
id: 158411917
{'hecke_orbit_code': 94575592208363240, 'n': 76, 'trace_an': 0}
-
id: 158411918
{'hecke_orbit_code': 94575592208363240, 'n': 77, 'trace_an': -4}
-
id: 158411919
{'hecke_orbit_code': 94575592208363240, 'n': 78, 'trace_an': 0}
-
id: 158411920
{'hecke_orbit_code': 94575592208363240, 'n': 79, 'trace_an': -15}
-
id: 158411921
{'hecke_orbit_code': 94575592208363240, 'n': 80, 'trace_an': 0}
-
id: 158411922
{'hecke_orbit_code': 94575592208363240, 'n': 81, 'trace_an': 1}
-
id: 158411923
{'hecke_orbit_code': 94575592208363240, 'n': 82, 'trace_an': 0}
-
id: 158411924
{'hecke_orbit_code': 94575592208363240, 'n': 83, 'trace_an': -15}
-
id: 158411925
{'hecke_orbit_code': 94575592208363240, 'n': 84, 'trace_an': 0}
-
id: 158411926
{'hecke_orbit_code': 94575592208363240, 'n': 85, 'trace_an': 18}
-
id: 158411927
{'hecke_orbit_code': 94575592208363240, 'n': 86, 'trace_an': 0}
-
id: 158411928
{'hecke_orbit_code': 94575592208363240, 'n': 87, 'trace_an': 1}
-
id: 158411929
{'hecke_orbit_code': 94575592208363240, 'n': 88, 'trace_an': 0}
-
id: 158411930
{'hecke_orbit_code': 94575592208363240, 'n': 89, 'trace_an': 11}
-
id: 158411931
{'hecke_orbit_code': 94575592208363240, 'n': 90, 'trace_an': 0}
-
id: 158411932
{'hecke_orbit_code': 94575592208363240, 'n': 91, 'trace_an': 0}
-
id: 158411933
{'hecke_orbit_code': 94575592208363240, 'n': 92, 'trace_an': 0}
-
id: 158411934
{'hecke_orbit_code': 94575592208363240, 'n': 93, 'trace_an': -7}
-
id: 158411935
{'hecke_orbit_code': 94575592208363240, 'n': 94, 'trace_an': 0}
-
id: 158411936
{'hecke_orbit_code': 94575592208363240, 'n': 95, 'trace_an': 21}
-
id: 158411937
{'hecke_orbit_code': 94575592208363240, 'n': 96, 'trace_an': 0}
-
id: 158411938
{'hecke_orbit_code': 94575592208363240, 'n': 97, 'trace_an': -7}
-
id: 158411939
{'hecke_orbit_code': 94575592208363240, 'n': 98, 'trace_an': 0}
-
id: 158411940
{'hecke_orbit_code': 94575592208363240, 'n': 99, 'trace_an': -4}
-
id: 158411941
{'hecke_orbit_code': 94575592208363240, 'n': 100, 'trace_an': 0}