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mf_newforms • Show schema
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{'Nk2': 54208, 'analytic_conductor': 108.21326481923917, 'atkin_lehner_eigenvals': [[2, -1], [7, 1], [11, 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': [13552, 1, [1695, 10165, 7745, 10529], [21, 21, 21, 21]], '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': 21, 'hecke_orbit_code': 90071992580977904, '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': '13552.2.a.u', 'level': 13552, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 11], 'level_radical': 154, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+2q^{3}-2q^{5}-q^{7}+q^{9}-6q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/13552/u'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '13552.2.a', 'trace_display': [0, 2, -2, -1], 'traces': [1, 0, 2, 0, -2, 0, -1, 0, 1, 0, 0, 0, -6, 0, -4, 0, 6, 0, -4, 0, -2, 0, 0, 0, -1, 0, -4, 0, 4, 0, 2, 0, 0, 0, 2, 0, -6, 0, -12, 0, -2, 0, -4, 0, -2, 0, -10, 0, 1, 0, 12, 0, -6, 0, 0, 0, -8, 0, -6, 0, 14, 0, -1, 0, 12, 0, 12, 0, 0, 0, 8, 0, 10, 0, -2, 0, 0, 0, 12, 0, -11, 0, 4, 0, -12, 0, 8, 0, 10, 0, 6, 0, 4, 0, 8, 0, 14, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 13552.2.a.u does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [42, 40, 42, 40, 41, 40, 37, 45], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [17, 18, 18, 18, 18, 18, 18, 18], 'ALdims_old': [205, 221, 222, 209, 211, 217, 221, 208], 'Nk2': 54208, 'analytic_conductor': 108.21326481923917, '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': [13552, 1, [1695, 10165, 7745, 10529], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2041, 'dim': 327, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_orbit_code': 33567984, '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, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10], 'label': '13552.2.a', 'level': 13552, '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, 7, 11], 'level_radical': 154, 'mf_dim': 2184, 'mf_new_dim': 327, 'num_forms': 106, 'plus_dim': 159, 'prim_orbit_index': 1, 'relative_dim': 327, 'sturm_bound': 4224, 'trace_display': [0, 0, -2, 1], 'traces': [327, 0, 0, 0, -2, 0, 1, 0, 331, 0, 0, 0, -2, 0, -16, 0, 6, 0, -8, 0, 0, 0, -4, 0, 329, 0, -24, 0, -6, 0, -8, 0, 0, 0, -6, 0, -14, 0, -16, 0, -2, 0, 12, 0, -10, 0, -24, 0, 327, 0, -32, 0, -6, 0, 0, 0, -8, 0, -24, 0, 6, 0, 5, 0, 4, 0, -8, 0, 16, 0, -12, 0, 22, 0, -24, 0, 0, 0, 0, 0, 327, 0, 32, 0, 12, 0, -64, 0, 22, 0, 6, 0, 32, 0, 48, 0, 22, 0, 0, 0, 14, 0, -8, 0, -8, 0, -44, 0, 10, 0, -16, 0, 6, 0, -48, 0, 38, 0, -10, 0, 0, 0, -80, 0, 12, 0, 8, 0, 0, 0, 64, 0, 8, 0, -112, 0, -26, 0, -40, 0, 64, 0, 0, 0, 36, 0, 0, 0, -22, 0, -40, 0, -2, 0, 32, 0, -50, 0, 48, 0, -8, 0, 0, 0, 0, 0, 40, 0, 353, 0, -48, 0, 14, 0, 7, 0, -56, 0, 64, 0, -26, 0, 72, 0, 4, 0, 0, 0, 0, 0, 68, 0, 22, 0, 16, 0, 10, 0, -24, 0, 16, 0, 14, 0, -36, 0, -84, 0, 0, 0, -36, 0, 0, 0, 24, 0, -8, 0, 48, 0, -36, 0, -88, 0, 341, 0, -56, 0, 22, 0, 0, 0, 22, 0, -16, 0, -16, 0, 112, 0, 54, 0, 48, 0, -2, 0, -16, 0, 40, 0, -8, 0, 0, 0, 8, 0, -2, 0, -2, 0, 2, 0, -16, 0, 84, 0, 48, 0, 14, 0, 24, 0, 8, 0, 0, 0, -38, 0, 8, 0, 22, 0, -16, 0, 128, 0, -2, 0, 357, 0, -96, 0, 30, 0, 40, 0, 0, 0, 80, 0, -20, 0, 64, 0, 84, 0, 40, 0, 128, 0, -152, 0, -18, 0, -38, 0, -14, 0, 0, 0, 80, 0, 104, 0, -126, 0, 152, 0, -8, 0, -32, 0, -6, 0, 56, 0, -26, 0, 80, 0, 0, 0, 1, 0, -16, 0, 36, 0, 14, 0, -48, 0, -50, 0, 80, 0, 16, 0, 32, 0, 331, 0, 0, 0, 28, 0, 152, 0, 38, 0, -10, 0, -70, 0, -16, 0, 116, 0, -32, 0, -80, 0, 96, 0, 0, 0, -36, 0, -46, 0, -104, 0, -8, 0, 88, 0, -50, 0, 8, 0, -42, 0, -104, 0, -18, 0, 0, 0, 46, 0, 16, 0, 0, 0, 8, 0, 40, 0, 40, 0, 10, 0, 80, 0, 58, 0, 30, 0, 0, 0, 104, 0, 6, 0, 136, 0, -48, 0, -104, 0, 331, 0, 88, 0, -20, 0, 48, 0, 78, 0, 0, 0, 48, 0, -44, 0, -98, 0, 56, 0, -66, 0, -92, 0, -48, 0, 56, 0, 12, 0, -192, 0, 0, 0, -192, 0, 18, 0, 176, 0, -12, 0, -40, 0, -140, 0, -76, 0, 0, 0, -164, 0, -244, 0, 0, 0, -24, 0, -104, 0, -48, 0, 96, 0, -44, 0, -64, 0, -170, 0, -50, 0, -128, 0, 0, 0, 0, 0, 64, 0, -34, 0, 0, 0, 48, 0, -48, 0, 271, 0, 72, 0, -236, 0, -96, 0, -16, 0, 0, 0, -14, 0, -72, 0, 84, 0, -20, 0, -34, 0, 80, 0, -32, 0, 56, 0, 2, 0, 8, 0, 0, 0, 136, 0, -156, 0, -31, 0, -98, 0, -108, 0, -64, 0, 44, 0, -2, 0, 32, 0, -8, 0, 0, 0, 84, 0, 80, 0, 32, 0, -144, 0, 46, 0, -20, 0, 32, 0, -92, 0, 54, 0, -136, 0, 0, 0, -72, 0, -32, 0, -200, 0, -142, 0, -72, 0, 94, 0, 88, 0, 144, 0, 34, 0, 291, 0, 0, 0, -124, 0, -116, 0, -224, 0, -232, 0, -2, 0, 108, 0, -42, 0, -152, 0, 192, 0, -168, 0, 0, 0, -64, 0, -254, 0, -160, 0, 174, 0, 60, 0, 94, 0, -32, 0, 24, 0, -24, 0, 0, 0, 0, 0, -66, 0, -504, 0, -90, 0, -6, 0, -152, 0, 64, 0, -132, 0, -56, 0, -76, 0, -128, 0, 0, 0, -176, 0, 92, 0, 80, 0, 26, 0, -72, 0, -208, 0, -10, 0, -118, 0, 24, 0, -80, 0, 0, 0, 32, 0, 0, 0, 0, 0, 24, 0, -10, 0, -48, 0, 283, 0, 72, 0, -170, 0, -16, 0, 0, 0, -156, 0, -128, 0, -120, 0, -12, 0, 160, 0, -12, 0, -20, 0, -72, 0, 8, 0, -110, 0, 0, 0, -18, 0, 46, 0, 284, 0, -64, 0, 54, 0, 48, 0, -170, 0, 96, 0, 16, 0, 176, 0, 0, 0, 88, 0, -108, 0, -168, 0, 144, 0, 58, 0, 20, 0, 0, 0, 14, 0, 56, 0, -82, 0, 0, 0, 32, 0, 208, 0, -18, 0, 56, 0, 128, 0, 104, 0, -16, 0, 62, 0, 26, 0, -12, 0, 0, 0, -12, 0, 118, 0, -8, 0, 6, 0, 8, 0, 144, 0, 96, 0, 281, 0, 296, 0, -102, 0, 0, 0, -120, 0, -124, 0, -26, 0, 104, 0, -82, 0, 8, 0, 16, 0, -296, 0, 36, 0, -96, 0, 0, 0, -152, 0, -98, 0, 12, 0, 90, 0, 248, 0, -98, 0, -316, 0, 128, 0, 64, 0, -32, 0, 0, 0, -128, 0, -184, 0, 64, 0, -16, 0, -44, 0, 0, 0, -44, 0, -32, 0, -42, 0, -192, 0, 0, 0, 232, 0, 56, 0, 168, 0, -88, 0, -48, 0, -314, 0, -144, 0, 38, 0, -8, 0, 96, 0, 0, 0, -26, 0, 312, 0, 22, 0, 104, 0, 16, 0, -372, 0, -36, 0, 152, 0, 22, 0, 128, 0, 0, 0, 74, 0, 391, 0, 76, 0, -228, 0, 120, 0, -360, 0, -88, 0, -56, 0, -192, 0, -330, 0, 0, 0, -78, 0, 216, 0, -76, 0, 64, 0, 160, 0, -336, 0, -584, 0, 208, 0, 110, 0, 264, 0], 'weight': 2, 'weight_parity': 1}
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source_label 13552.2.a.u does not appear in mf_twists_nf
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hecke_orbit_code 90071992580977904 does not appear in mf_hecke_charpolys
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label 13552.2.a.u does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 157097342
{'hecke_orbit_code': 90071992580977904, 'n': 1, 'trace_an': 1}
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id: 157097343
{'hecke_orbit_code': 90071992580977904, 'n': 2, 'trace_an': 0}
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id: 157097344
{'hecke_orbit_code': 90071992580977904, 'n': 3, 'trace_an': 2}
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id: 157097345
{'hecke_orbit_code': 90071992580977904, 'n': 4, 'trace_an': 0}
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id: 157097346
{'hecke_orbit_code': 90071992580977904, 'n': 5, 'trace_an': -2}
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id: 157097347
{'hecke_orbit_code': 90071992580977904, 'n': 6, 'trace_an': 0}
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id: 157097348
{'hecke_orbit_code': 90071992580977904, 'n': 7, 'trace_an': -1}
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id: 157097349
{'hecke_orbit_code': 90071992580977904, 'n': 8, 'trace_an': 0}
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id: 157097350
{'hecke_orbit_code': 90071992580977904, 'n': 9, 'trace_an': 1}
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id: 157097351
{'hecke_orbit_code': 90071992580977904, 'n': 10, 'trace_an': 0}
-
id: 157097352
{'hecke_orbit_code': 90071992580977904, 'n': 11, 'trace_an': 0}
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id: 157097353
{'hecke_orbit_code': 90071992580977904, 'n': 12, 'trace_an': 0}
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id: 157097354
{'hecke_orbit_code': 90071992580977904, 'n': 13, 'trace_an': -6}
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id: 157097355
{'hecke_orbit_code': 90071992580977904, 'n': 14, 'trace_an': 0}
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id: 157097356
{'hecke_orbit_code': 90071992580977904, 'n': 15, 'trace_an': -4}
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id: 157097357
{'hecke_orbit_code': 90071992580977904, 'n': 16, 'trace_an': 0}
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id: 157097358
{'hecke_orbit_code': 90071992580977904, 'n': 17, 'trace_an': 6}
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id: 157097359
{'hecke_orbit_code': 90071992580977904, 'n': 18, 'trace_an': 0}
-
id: 157097360
{'hecke_orbit_code': 90071992580977904, 'n': 19, 'trace_an': -4}
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id: 157097361
{'hecke_orbit_code': 90071992580977904, 'n': 20, 'trace_an': 0}
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id: 157097362
{'hecke_orbit_code': 90071992580977904, 'n': 21, 'trace_an': -2}
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id: 157097363
{'hecke_orbit_code': 90071992580977904, 'n': 22, 'trace_an': 0}
-
id: 157097364
{'hecke_orbit_code': 90071992580977904, 'n': 23, 'trace_an': 0}
-
id: 157097365
{'hecke_orbit_code': 90071992580977904, 'n': 24, 'trace_an': 0}
-
id: 157097366
{'hecke_orbit_code': 90071992580977904, 'n': 25, 'trace_an': -1}
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id: 157097367
{'hecke_orbit_code': 90071992580977904, 'n': 26, 'trace_an': 0}
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id: 157097368
{'hecke_orbit_code': 90071992580977904, 'n': 27, 'trace_an': -4}
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id: 157097369
{'hecke_orbit_code': 90071992580977904, 'n': 28, 'trace_an': 0}
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id: 157097370
{'hecke_orbit_code': 90071992580977904, 'n': 29, 'trace_an': 4}
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id: 157097371
{'hecke_orbit_code': 90071992580977904, 'n': 30, 'trace_an': 0}
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id: 157097372
{'hecke_orbit_code': 90071992580977904, 'n': 31, 'trace_an': 2}
-
id: 157097373
{'hecke_orbit_code': 90071992580977904, 'n': 32, 'trace_an': 0}
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id: 157097374
{'hecke_orbit_code': 90071992580977904, 'n': 33, 'trace_an': 0}
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id: 157097375
{'hecke_orbit_code': 90071992580977904, 'n': 34, 'trace_an': 0}
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id: 157097376
{'hecke_orbit_code': 90071992580977904, 'n': 35, 'trace_an': 2}
-
id: 157097377
{'hecke_orbit_code': 90071992580977904, 'n': 36, 'trace_an': 0}
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id: 157097378
{'hecke_orbit_code': 90071992580977904, 'n': 37, 'trace_an': -6}
-
id: 157097379
{'hecke_orbit_code': 90071992580977904, 'n': 38, 'trace_an': 0}
-
id: 157097380
{'hecke_orbit_code': 90071992580977904, 'n': 39, 'trace_an': -12}
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id: 157097381
{'hecke_orbit_code': 90071992580977904, 'n': 40, 'trace_an': 0}
-
id: 157097382
{'hecke_orbit_code': 90071992580977904, 'n': 41, 'trace_an': -2}
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id: 157097383
{'hecke_orbit_code': 90071992580977904, 'n': 42, 'trace_an': 0}
-
id: 157097384
{'hecke_orbit_code': 90071992580977904, 'n': 43, 'trace_an': -4}
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id: 157097385
{'hecke_orbit_code': 90071992580977904, 'n': 44, 'trace_an': 0}
-
id: 157097386
{'hecke_orbit_code': 90071992580977904, 'n': 45, 'trace_an': -2}
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id: 157097387
{'hecke_orbit_code': 90071992580977904, 'n': 46, 'trace_an': 0}
-
id: 157097388
{'hecke_orbit_code': 90071992580977904, 'n': 47, 'trace_an': -10}
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id: 157097389
{'hecke_orbit_code': 90071992580977904, 'n': 48, 'trace_an': 0}
-
id: 157097390
{'hecke_orbit_code': 90071992580977904, 'n': 49, 'trace_an': 1}
-
id: 157097391
{'hecke_orbit_code': 90071992580977904, 'n': 50, 'trace_an': 0}
-
id: 157097392
{'hecke_orbit_code': 90071992580977904, 'n': 51, 'trace_an': 12}
-
id: 157097393
{'hecke_orbit_code': 90071992580977904, 'n': 52, 'trace_an': 0}
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id: 157097394
{'hecke_orbit_code': 90071992580977904, 'n': 53, 'trace_an': -6}
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id: 157097395
{'hecke_orbit_code': 90071992580977904, 'n': 54, 'trace_an': 0}
-
id: 157097396
{'hecke_orbit_code': 90071992580977904, 'n': 55, 'trace_an': 0}
-
id: 157097397
{'hecke_orbit_code': 90071992580977904, 'n': 56, 'trace_an': 0}
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id: 157097398
{'hecke_orbit_code': 90071992580977904, 'n': 57, 'trace_an': -8}
-
id: 157097399
{'hecke_orbit_code': 90071992580977904, 'n': 58, 'trace_an': 0}
-
id: 157097400
{'hecke_orbit_code': 90071992580977904, 'n': 59, 'trace_an': -6}
-
id: 157097401
{'hecke_orbit_code': 90071992580977904, 'n': 60, 'trace_an': 0}
-
id: 157097402
{'hecke_orbit_code': 90071992580977904, 'n': 61, 'trace_an': 14}
-
id: 157097403
{'hecke_orbit_code': 90071992580977904, 'n': 62, 'trace_an': 0}
-
id: 157097404
{'hecke_orbit_code': 90071992580977904, 'n': 63, 'trace_an': -1}
-
id: 157097405
{'hecke_orbit_code': 90071992580977904, 'n': 64, 'trace_an': 0}
-
id: 157097406
{'hecke_orbit_code': 90071992580977904, 'n': 65, 'trace_an': 12}
-
id: 157097407
{'hecke_orbit_code': 90071992580977904, 'n': 66, 'trace_an': 0}
-
id: 157097408
{'hecke_orbit_code': 90071992580977904, 'n': 67, 'trace_an': 12}
-
id: 157097409
{'hecke_orbit_code': 90071992580977904, 'n': 68, 'trace_an': 0}
-
id: 157097410
{'hecke_orbit_code': 90071992580977904, 'n': 69, 'trace_an': 0}
-
id: 157097411
{'hecke_orbit_code': 90071992580977904, 'n': 70, 'trace_an': 0}
-
id: 157097412
{'hecke_orbit_code': 90071992580977904, 'n': 71, 'trace_an': 8}
-
id: 157097413
{'hecke_orbit_code': 90071992580977904, 'n': 72, 'trace_an': 0}
-
id: 157097414
{'hecke_orbit_code': 90071992580977904, 'n': 73, 'trace_an': 10}
-
id: 157097415
{'hecke_orbit_code': 90071992580977904, 'n': 74, 'trace_an': 0}
-
id: 157097416
{'hecke_orbit_code': 90071992580977904, 'n': 75, 'trace_an': -2}
-
id: 157097417
{'hecke_orbit_code': 90071992580977904, 'n': 76, 'trace_an': 0}
-
id: 157097418
{'hecke_orbit_code': 90071992580977904, 'n': 77, 'trace_an': 0}
-
id: 157097419
{'hecke_orbit_code': 90071992580977904, 'n': 78, 'trace_an': 0}
-
id: 157097420
{'hecke_orbit_code': 90071992580977904, 'n': 79, 'trace_an': 12}
-
id: 157097421
{'hecke_orbit_code': 90071992580977904, 'n': 80, 'trace_an': 0}
-
id: 157097422
{'hecke_orbit_code': 90071992580977904, 'n': 81, 'trace_an': -11}
-
id: 157097423
{'hecke_orbit_code': 90071992580977904, 'n': 82, 'trace_an': 0}
-
id: 157097424
{'hecke_orbit_code': 90071992580977904, 'n': 83, 'trace_an': 4}
-
id: 157097425
{'hecke_orbit_code': 90071992580977904, 'n': 84, 'trace_an': 0}
-
id: 157097426
{'hecke_orbit_code': 90071992580977904, 'n': 85, 'trace_an': -12}
-
id: 157097427
{'hecke_orbit_code': 90071992580977904, 'n': 86, 'trace_an': 0}
-
id: 157097428
{'hecke_orbit_code': 90071992580977904, 'n': 87, 'trace_an': 8}
-
id: 157097429
{'hecke_orbit_code': 90071992580977904, 'n': 88, 'trace_an': 0}
-
id: 157097430
{'hecke_orbit_code': 90071992580977904, 'n': 89, 'trace_an': 10}
-
id: 157097431
{'hecke_orbit_code': 90071992580977904, 'n': 90, 'trace_an': 0}
-
id: 157097432
{'hecke_orbit_code': 90071992580977904, 'n': 91, 'trace_an': 6}
-
id: 157097433
{'hecke_orbit_code': 90071992580977904, 'n': 92, 'trace_an': 0}
-
id: 157097434
{'hecke_orbit_code': 90071992580977904, 'n': 93, 'trace_an': 4}
-
id: 157097435
{'hecke_orbit_code': 90071992580977904, 'n': 94, 'trace_an': 0}
-
id: 157097436
{'hecke_orbit_code': 90071992580977904, 'n': 95, 'trace_an': 8}
-
id: 157097437
{'hecke_orbit_code': 90071992580977904, 'n': 96, 'trace_an': 0}
-
id: 157097438
{'hecke_orbit_code': 90071992580977904, 'n': 97, 'trace_an': 14}
-
id: 157097439
{'hecke_orbit_code': 90071992580977904, 'n': 98, 'trace_an': 0}
-
id: 157097440
{'hecke_orbit_code': 90071992580977904, 'n': 99, 'trace_an': 0}
-
id: 157097441
{'hecke_orbit_code': 90071992580977904, 'n': 100, 'trace_an': 0}