-
mf_newforms • Show schema
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{'Nk2': 141120, 'analytic_conductor': 281.71221833107717, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [5, -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': [35280, 1, [13231, 8821, 7841, 7057, 18721], [101, 101, 101, 101, 101]], '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': 101, 'hecke_orbit_code': 450359962770639312, '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': '35280.2.a.dw', 'level': 35280, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{5}-2q^{11}-2q^{13}-6q^{17}+2q^{19}+\\cdots', 'related_objects': ['EllipticCurve/Q/35280/dw'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '35280.2.a', 'trace_display': [0, 0, 1, 0], 'traces': [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, -6, 0, 2, 0, 0, 0, -4, 0, 1, 0, 0, 0, 8, 0, 10, 0, 0, 0, 0, 0, 10, 0, 0, 0, -6, 0, -8, 0, 0, 0, 8, 0, 0, 0, 0, 0, -14, 0, -2, 0, 0, 0, -4, 0, 0, 0, 0, 0, -2, 0, -4, 0, 0, 0, -6, 0, 10, 0, 0, 0, 0, 0, 16, 0, 0, 0, 4, 0, -6, 0, 0, 0, -10, 0, 0, 0, 0, 0, 2, 0, -10, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 35280.2.a.dw does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [20, 21, 20, 21, 31, 30, 29, 33, 20, 21, 20, 21, 29, 33, 31, 30], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [23, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24], 'ALdims_old': [461, 479, 476, 471, 465, 458, 467, 455, 484, 463, 468, 471, 459, 463, 457, 466], 'Nk2': 141120, 'analytic_conductor': 281.71221833107717, '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': [35280, 1, [13231, 8821, 7841, 7057, 18721], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 7873, 'dim': 410, 'eis_dim': 383, 'eis_new_dim': 0, 'hecke_orbit_code': 33589712, '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, 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, 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, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5], 'label': '35280.2.a', 'level': 35280, '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, 7], 'level_radical': 210, 'mf_dim': 8256, 'mf_new_dim': 410, 'num_forms': 251, 'plus_dim': 200, 'prim_orbit_index': 1, 'relative_dim': 410, 'sturm_bound': 16128, 'trace_display': [0, 0, 0, 0], 'traces': [410, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 8, 0, 0, 0, 10, 0, 410, 0, 0, 0, -12, 0, -4, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 32, 0, 0, 0, 0, 0, 4, 0, 14, 0, 0, 0, 36, 0, -4, 0, 0, 0, 0, 0, 24, 0, 0, 0, 10, 0, -8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 8, 0, -12, 0, 0, 0, -20, 0, 2, 0, 0, 0, 18, 0, -16, 0, 0, 0, -28, 0, -2, 0, 0, 0, 0, 0, 394, 0, 0, 0, 0, 0, -38, 0, 0, 0, -4, 0, 0, 0, 0, 0, -44, 0, -8, 0, 0, 0, -64, 0, 8, 0, 0, 0, -32, 0, -180, 0, 0, 0, -4, 0, -24, 0, 0, 0, 0, 0, -150, 0, 0, 0, 34, 0, 398, 0, 0, 0, -24, 0, 0, 0, 0, 0, -24, 0, -12, 0, 0, 0, -4, 0, -16, 0, 0, 0, -84, 0, -20, 0, 0, 0, 24, 0, 72, 0, 0, 0, 0, 0, 12, 0, 0, 0, -32, 0, -132, 0, 0, 0, -26, 0, 0, 0, 0, 0, 16, 0, -78, 0, 0, 0, 86, 0, -4, 0, 0, 0, -52, 0, -2, 0, 0, 0, 120, 0, -8, 0, 0, 0, 0, 0, -144, 0, 0, 0, -92, 0, -16, 0, 0, 0, -60, 0, 0, 0, 0, 0, 90, 0, -12, 0, 0, 0, 32, 0, -84, 0, 0, 0, 4, 0, 16, 0, 0, 0, 0, 0, -66, 0, 0, 0, 0, 0, 398, 0, 0, 0, 24, 0, 16, 0, 0, 0, 20, 0, 0, 0, 0, 0, 12, 0, -46, 0, 0, 0, -124, 0, 36, 0, 0, 0, -56, 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14, 0, 0, 0, 52, 0, 72, 0, 0, 0, 124, 0, 16, 0, 0, 0, 0, 0, 410, 0, 0, 0, 144, 0, -276, 0, 0, 0, 70, 0, 0, 0, 0, 0, 64, 0, -42, 0, 0, 0, -222, 0, -48, 0, 0, 0, 152, 0, -60, 0, 0, 0, -208, 0, 80, 0, 0, 0, 0, 0, -164, 0, 0, 0, 120, 0, -60, 0, 0, 0, 200, 0, 0, 0, 0, 0, -226, 0, 8, 0, 0, 0, 8, 0, -20, 0, 0, 0, -16, 0, 32, 0, 0, 0, -64, 0, 144, 0, 0, 0, 0, 0, 108, 0, 0, 0, 72, 0, -64, 0, 0, 0, -48, 0, 0, 0, 0, 0, -12, 0, -234, 0, 0, 0, 308, 0, 72, 0, 0, 0, -112, 0, 176, 0, 0, 0, -30, 0, -12, 0, 0, 0, 0, 0, 92, 0, 0, 0, -12, 0, -32, 0, 0, 0, 148, 0, 0, 0, 0, 0, -48, 0, 36, 0, 0, 0, -88, 0, -4, 0, 0, 0, 40, 0, -48, 0, 0, 0, 12, 0, 10, 0, 0, 0, 0, 0, 56, 0, 0, 0, 152, 0, 116, 0, 0, 0, 296, 0, 0, 0, 0, 0, -108, 0, -172, 0, 0, 0, -26, 0, 88, 0, 0, 0, -96, 0, -170, 0, 0, 0, -366, 0, 128, 0, 0, 0, 0, 0, 126, 0, 0, 0, 112, 0, 302, 0, 0, 0, -32, 0, 0, 0, 0, 0, 108, 0, -40, 0, 0, 0, -12, 0, -32, 0, 0, 0, -54, 0, -52, 0, 0, 0, 144, 0, 156, 0, 0, 0, 0, 0, 120, 0, 0, 0, -48, 0, 162, 0, 0, 0, 90, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 240, 0, -96, 0, 0, 0, 0, 0, 94, 0, 0, 0, 228, 0, -96, 0, 0, 0, 0, 0, -376, 0, 0, 0, -88, 0, -8, 0, 0, 0, -152, 0, 0, 0, 0, 0, 104, 0, 20, 0, 0, 0, 12, 0, 172, 0, 0, 0, 146, 0, 80, 0, 0, 0, -52, 0, -76, 0, 0, 0, 0, 0, 330, 0, 0, 0, -40, 0, 170, 0, 0, 0, -148, 0, 0, 0, 0, 0, 156, 0, 328, 0, 0, 0, -98, 0, -36, 0, 0, 0, 252, 0, 252, 0, 0, 0, 0, 0, 96, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 35280.2.a.dw does not appear in mf_twists_nf
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hecke_orbit_code 450359962770639312 does not appear in mf_hecke_charpolys
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label 35280.2.a.dw does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 181593342
{'hecke_orbit_code': 450359962770639312, 'n': 1, 'trace_an': 1}
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id: 181593343
{'hecke_orbit_code': 450359962770639312, 'n': 2, 'trace_an': 0}
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id: 181593344
{'hecke_orbit_code': 450359962770639312, 'n': 3, 'trace_an': 0}
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id: 181593345
{'hecke_orbit_code': 450359962770639312, 'n': 4, 'trace_an': 0}
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id: 181593346
{'hecke_orbit_code': 450359962770639312, 'n': 5, 'trace_an': 1}
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id: 181593347
{'hecke_orbit_code': 450359962770639312, 'n': 6, 'trace_an': 0}
-
id: 181593348
{'hecke_orbit_code': 450359962770639312, 'n': 7, 'trace_an': 0}
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id: 181593349
{'hecke_orbit_code': 450359962770639312, 'n': 8, 'trace_an': 0}
-
id: 181593350
{'hecke_orbit_code': 450359962770639312, 'n': 9, 'trace_an': 0}
-
id: 181593351
{'hecke_orbit_code': 450359962770639312, 'n': 10, 'trace_an': 0}
-
id: 181593352
{'hecke_orbit_code': 450359962770639312, 'n': 11, 'trace_an': -2}
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id: 181593353
{'hecke_orbit_code': 450359962770639312, 'n': 12, 'trace_an': 0}
-
id: 181593354
{'hecke_orbit_code': 450359962770639312, 'n': 13, 'trace_an': -2}
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id: 181593355
{'hecke_orbit_code': 450359962770639312, 'n': 14, 'trace_an': 0}
-
id: 181593356
{'hecke_orbit_code': 450359962770639312, 'n': 15, 'trace_an': 0}
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id: 181593357
{'hecke_orbit_code': 450359962770639312, 'n': 16, 'trace_an': 0}
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id: 181593358
{'hecke_orbit_code': 450359962770639312, 'n': 17, 'trace_an': -6}
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id: 181593359
{'hecke_orbit_code': 450359962770639312, 'n': 18, 'trace_an': 0}
-
id: 181593360
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-
id: 181593361
{'hecke_orbit_code': 450359962770639312, 'n': 20, 'trace_an': 0}
-
id: 181593362
{'hecke_orbit_code': 450359962770639312, 'n': 21, 'trace_an': 0}
-
id: 181593363
{'hecke_orbit_code': 450359962770639312, 'n': 22, 'trace_an': 0}
-
id: 181593364
{'hecke_orbit_code': 450359962770639312, 'n': 23, 'trace_an': -4}
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id: 181593365
{'hecke_orbit_code': 450359962770639312, 'n': 24, 'trace_an': 0}
-
id: 181593366
{'hecke_orbit_code': 450359962770639312, 'n': 25, 'trace_an': 1}
-
id: 181593367
{'hecke_orbit_code': 450359962770639312, 'n': 26, 'trace_an': 0}
-
id: 181593368
{'hecke_orbit_code': 450359962770639312, 'n': 27, 'trace_an': 0}
-
id: 181593369
{'hecke_orbit_code': 450359962770639312, 'n': 28, 'trace_an': 0}
-
id: 181593370
{'hecke_orbit_code': 450359962770639312, 'n': 29, 'trace_an': 8}
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id: 181593371
{'hecke_orbit_code': 450359962770639312, 'n': 30, 'trace_an': 0}
-
id: 181593372
{'hecke_orbit_code': 450359962770639312, 'n': 31, 'trace_an': 10}
-
id: 181593373
{'hecke_orbit_code': 450359962770639312, 'n': 32, 'trace_an': 0}
-
id: 181593374
{'hecke_orbit_code': 450359962770639312, 'n': 33, 'trace_an': 0}
-
id: 181593375
{'hecke_orbit_code': 450359962770639312, 'n': 34, 'trace_an': 0}
-
id: 181593376
{'hecke_orbit_code': 450359962770639312, 'n': 35, 'trace_an': 0}
-
id: 181593377
{'hecke_orbit_code': 450359962770639312, 'n': 36, 'trace_an': 0}
-
id: 181593378
{'hecke_orbit_code': 450359962770639312, 'n': 37, 'trace_an': 10}
-
id: 181593379
{'hecke_orbit_code': 450359962770639312, 'n': 38, 'trace_an': 0}
-
id: 181593380
{'hecke_orbit_code': 450359962770639312, 'n': 39, 'trace_an': 0}
-
id: 181593381
{'hecke_orbit_code': 450359962770639312, 'n': 40, 'trace_an': 0}
-
id: 181593382
{'hecke_orbit_code': 450359962770639312, 'n': 41, 'trace_an': -6}
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id: 181593383
{'hecke_orbit_code': 450359962770639312, 'n': 42, 'trace_an': 0}
-
id: 181593384
{'hecke_orbit_code': 450359962770639312, 'n': 43, 'trace_an': -8}
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id: 181593385
{'hecke_orbit_code': 450359962770639312, 'n': 44, 'trace_an': 0}
-
id: 181593386
{'hecke_orbit_code': 450359962770639312, 'n': 45, 'trace_an': 0}
-
id: 181593387
{'hecke_orbit_code': 450359962770639312, 'n': 46, 'trace_an': 0}
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id: 181593388
{'hecke_orbit_code': 450359962770639312, 'n': 47, 'trace_an': 8}
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id: 181593389
{'hecke_orbit_code': 450359962770639312, 'n': 48, 'trace_an': 0}
-
id: 181593390
{'hecke_orbit_code': 450359962770639312, 'n': 49, 'trace_an': 0}
-
id: 181593391
{'hecke_orbit_code': 450359962770639312, 'n': 50, 'trace_an': 0}
-
id: 181593392
{'hecke_orbit_code': 450359962770639312, 'n': 51, 'trace_an': 0}
-
id: 181593393
{'hecke_orbit_code': 450359962770639312, 'n': 52, 'trace_an': 0}
-
id: 181593394
{'hecke_orbit_code': 450359962770639312, 'n': 53, 'trace_an': -14}
-
id: 181593395
{'hecke_orbit_code': 450359962770639312, 'n': 54, 'trace_an': 0}
-
id: 181593396
{'hecke_orbit_code': 450359962770639312, 'n': 55, 'trace_an': -2}
-
id: 181593397
{'hecke_orbit_code': 450359962770639312, 'n': 56, 'trace_an': 0}
-
id: 181593398
{'hecke_orbit_code': 450359962770639312, 'n': 57, 'trace_an': 0}
-
id: 181593399
{'hecke_orbit_code': 450359962770639312, 'n': 58, 'trace_an': 0}
-
id: 181593400
{'hecke_orbit_code': 450359962770639312, 'n': 59, 'trace_an': -4}
-
id: 181593401
{'hecke_orbit_code': 450359962770639312, 'n': 60, 'trace_an': 0}
-
id: 181593402
{'hecke_orbit_code': 450359962770639312, 'n': 61, 'trace_an': 0}
-
id: 181593403
{'hecke_orbit_code': 450359962770639312, 'n': 62, 'trace_an': 0}
-
id: 181593404
{'hecke_orbit_code': 450359962770639312, 'n': 63, 'trace_an': 0}
-
id: 181593405
{'hecke_orbit_code': 450359962770639312, 'n': 64, 'trace_an': 0}
-
id: 181593406
{'hecke_orbit_code': 450359962770639312, 'n': 65, 'trace_an': -2}
-
id: 181593407
{'hecke_orbit_code': 450359962770639312, 'n': 66, 'trace_an': 0}
-
id: 181593408
{'hecke_orbit_code': 450359962770639312, 'n': 67, 'trace_an': -4}
-
id: 181593409
{'hecke_orbit_code': 450359962770639312, 'n': 68, 'trace_an': 0}
-
id: 181593410
{'hecke_orbit_code': 450359962770639312, 'n': 69, 'trace_an': 0}
-
id: 181593411
{'hecke_orbit_code': 450359962770639312, 'n': 70, 'trace_an': 0}
-
id: 181593412
{'hecke_orbit_code': 450359962770639312, 'n': 71, 'trace_an': -6}
-
id: 181593413
{'hecke_orbit_code': 450359962770639312, 'n': 72, 'trace_an': 0}
-
id: 181593414
{'hecke_orbit_code': 450359962770639312, 'n': 73, 'trace_an': 10}
-
id: 181593415
{'hecke_orbit_code': 450359962770639312, 'n': 74, 'trace_an': 0}
-
id: 181593416
{'hecke_orbit_code': 450359962770639312, 'n': 75, 'trace_an': 0}
-
id: 181593417
{'hecke_orbit_code': 450359962770639312, 'n': 76, 'trace_an': 0}
-
id: 181593418
{'hecke_orbit_code': 450359962770639312, 'n': 77, 'trace_an': 0}
-
id: 181593419
{'hecke_orbit_code': 450359962770639312, 'n': 78, 'trace_an': 0}
-
id: 181593420
{'hecke_orbit_code': 450359962770639312, 'n': 79, 'trace_an': 16}
-
id: 181593421
{'hecke_orbit_code': 450359962770639312, 'n': 80, 'trace_an': 0}
-
id: 181593422
{'hecke_orbit_code': 450359962770639312, 'n': 81, 'trace_an': 0}
-
id: 181593423
{'hecke_orbit_code': 450359962770639312, 'n': 82, 'trace_an': 0}
-
id: 181593424
{'hecke_orbit_code': 450359962770639312, 'n': 83, 'trace_an': 4}
-
id: 181593425
{'hecke_orbit_code': 450359962770639312, 'n': 84, 'trace_an': 0}
-
id: 181593426
{'hecke_orbit_code': 450359962770639312, 'n': 85, 'trace_an': -6}
-
id: 181593427
{'hecke_orbit_code': 450359962770639312, 'n': 86, 'trace_an': 0}
-
id: 181593428
{'hecke_orbit_code': 450359962770639312, 'n': 87, 'trace_an': 0}
-
id: 181593429
{'hecke_orbit_code': 450359962770639312, 'n': 88, 'trace_an': 0}
-
id: 181593430
{'hecke_orbit_code': 450359962770639312, 'n': 89, 'trace_an': -10}
-
id: 181593431
{'hecke_orbit_code': 450359962770639312, 'n': 90, 'trace_an': 0}
-
id: 181593432
{'hecke_orbit_code': 450359962770639312, 'n': 91, 'trace_an': 0}
-
id: 181593433
{'hecke_orbit_code': 450359962770639312, 'n': 92, 'trace_an': 0}
-
id: 181593434
{'hecke_orbit_code': 450359962770639312, 'n': 93, 'trace_an': 0}
-
id: 181593435
{'hecke_orbit_code': 450359962770639312, 'n': 94, 'trace_an': 0}
-
id: 181593436
{'hecke_orbit_code': 450359962770639312, 'n': 95, 'trace_an': 2}
-
id: 181593437
{'hecke_orbit_code': 450359962770639312, 'n': 96, 'trace_an': 0}
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id: 181593438
{'hecke_orbit_code': 450359962770639312, 'n': 97, 'trace_an': -10}
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id: 181593439
{'hecke_orbit_code': 450359962770639312, 'n': 98, 'trace_an': 0}
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id: 181593440
{'hecke_orbit_code': 450359962770639312, 'n': 99, 'trace_an': 0}
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id: 181593441
{'hecke_orbit_code': 450359962770639312, 'n': 100, 'trace_an': 0}