- 
              mf_newforms •   Show schema
  Hide schema
   
        {'Nk2': 154880, 'analytic_conductor': 309.1807566263976, 'atkin_lehner_eigenvals': [[2, -1], [5, 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': [38720, 1, [13311, 12101, 30977, 14401], [27, 27, 27, 27]], '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': 27, 'hecke_orbit_code': 117093590345226048, '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': '38720.2.a.ba', 'level': 38720, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}-q^{5}+3q^{7}-2q^{9}+q^{15}+8q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/38720/ba'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '38720.2.a', 'trace_display': [0, -1, -1, 3], 'traces': [1, 0, -1, 0, -1, 0, 3, 0, -2, 0, 0, 0, 0, 0, 1, 0, 8, 0, 8, 0, -3, 0, 0, 0, 1, 0, 5, 0, -2, 0, -6, 0, 0, 0, -3, 0, 0, 0, 0, 0, 5, 0, 1, 0, 2, 0, 5, 0, 2, 0, -8, 0, -8, 0, 0, 0, -8, 0, -10, 0, -7, 0, -6, 0, 0, 0, -7, 0, 0, 0, 14, 0, -16, 0, -1, 0, 0, 0, -10, 0, 1, 0, -12, 0, -8, 0, 2, 0, 9, 0, 0, 0, 6, 0, -8, 0, 12, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
- 
              label 38720.2.a.ba does not appear in mf_hecke_nf
          
- 
              mf_newspaces •   Show schema
  Hide schema
   
        {'ALdims': [102, 115, 114, 105, 114, 105, 102, 115], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [35, 36, 36, 36, 36, 36, 36, 36], 'ALdims_old': [655, 677, 666, 663, 678, 651, 666, 665], 'Nk2': 154880, 'analytic_conductor': 309.1807566263976, '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': [38720, 1, [13311, 12101, 30977, 14401], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 6193, 'dim': 872, 'eis_dim': 287, 'eis_new_dim': 0, 'hecke_orbit_code': 33593152, '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, 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, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], 'label': '38720.2.a', 'level': 38720, '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, 5, 11], 'level_radical': 110, 'mf_dim': 6480, 'mf_new_dim': 872, 'num_forms': 263, 'plus_dim': 414, 'prim_orbit_index': 1, 'relative_dim': 872, 'sturm_bound': 12672, 'trace_display': [0, 0, 0, 0], 'traces': [872, 0, 0, 0, 0, 0, 0, 0, 872, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 872, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 872, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 872, 0, 0, 0, -16, 0, 0, 0, -16, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -16, 0, 0, 0, 64, 0, 0, 0, -16, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 80, 0, 0, 0, -48, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 888, 0, 0, 0, -96, 0, 0, 0, -16, 0, 0, 0, -48, 0, 0, 0, 16, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 64, 0, 0, 0, -64, 0, 0, 0, 872, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 80, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -16, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 192, 0, 0, 0, 48, 0, 0, 0, -16, 0, 0, 0, 984, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, -16, 0, 0, 0, -112, 0, 0, 0, 80, 0, 0, 0, 16, 0, 0, 0, 128, 0, 0, 0, 16, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 144, 0, 0, 0, 80, 0, 0, 0, -128, 0, 0, 0, 968, 0, 0, 0, -48, 0, 0, 0, 144, 0, 0, 0, 192, 0, 0, 0, 160, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 176, 0, 0, 0, 112, 0, 0, 0, 16, 0, 0, 0, 64, 0, 0, 0, 80, 0, 0, 0, -304, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -176, 0, 0, 0, 936, 0, 0, 0, 32, 0, 0, 0, 48, 0, 0, 0, -320, 0, 0, 0, -16, 0, 0, 0, -16, 0, 0, 0, 32, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 64, 0, 0, 0, 48, 0, 0, 0, 128, 0, 0, 0, -128, 0, 0, 0, 32, 0, 0, 0, -240, 0, 0, 0, 32, 0, 0, 0, 16, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 16, 0, 0, 0, 936, 0, 0, 0, -96, 0, 0, 0, 80, 0, 0, 0, -16, 0, 0, 0, 16, 0, 0, 0, -160, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -48, 0, 0, 0, 160, 0, 0, 0, 144, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -16, 0, 0, 0, 128, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 48, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 872, 0, 0, 0, 192, 0, 0, 0, -80, 0, 0, 0, 208, 0, 0, 0, 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-32, 0, 0, 0, 160, 0, 0, 0, 16, 0, 0, 0, -32, 0, 0, 0, 96, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 872, 0, 0, 0, 48, 0, 0, 0, -32, 0, 0, 0, 112, 0, 0, 0, 96, 0, 0, 0, 576, 0, 0, 0, 64, 0, 0, 0, -208, 0, 0, 0, 400, 0, 0, 0, 16, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
- 
              source_label 38720.2.a.ba does not appear in mf_twists_nf
          
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              hecke_orbit_code 117093590345226048 does not appear in mf_hecke_charpolys
          
- 
              label 38720.2.a.ba does not appear in mf_newform_portraits
          
- 
              mf_hecke_traces •   Show schema
  Hide schema
   
        
                      - 
              id: 162665342
              {'hecke_orbit_code': 117093590345226048, 'n': 1, 'trace_an': 1}
- 
              id: 162665343
              {'hecke_orbit_code': 117093590345226048, 'n': 2, 'trace_an': 0}
- 
              id: 162665344
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- 
              id: 162665345
              {'hecke_orbit_code': 117093590345226048, 'n': 4, 'trace_an': 0}
- 
              id: 162665346
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- 
              id: 162665347
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- 
              id: 162665348
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- 
              id: 162665349
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- 
              id: 162665350
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- 
              id: 162665351
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- 
              id: 162665352
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- 
              id: 162665353
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- 
              id: 162665354
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- 
              id: 162665355
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- 
              id: 162665356
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- 
              id: 162665357
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- 
              id: 162665358
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- 
              id: 162665359
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- 
              id: 162665360
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- 
              id: 162665361
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- 
              id: 162665362
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- 
              id: 162665363
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- 
              id: 162665364
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- 
              id: 162665365
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- 
              id: 162665366
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- 
              id: 162665367
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- 
              id: 162665368
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- 
              id: 162665369
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- 
              id: 162665370
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- 
              id: 162665371
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- 
              id: 162665372
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- 
              id: 162665373
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- 
              id: 162665374
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- 
              id: 162665375
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- 
              id: 162665376
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- 
              id: 162665377
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- 
              id: 162665378
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- 
              id: 162665379
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- 
              id: 162665380
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- 
              id: 162665381
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- 
              id: 162665382
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- 
              id: 162665383
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- 
              id: 162665384
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- 
              id: 162665385
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- 
              id: 162665386
              {'hecke_orbit_code': 117093590345226048, 'n': 45, 'trace_an': 2}
- 
              id: 162665387
              {'hecke_orbit_code': 117093590345226048, 'n': 46, 'trace_an': 0}
- 
              id: 162665388
              {'hecke_orbit_code': 117093590345226048, 'n': 47, 'trace_an': 5}
- 
              id: 162665389
              {'hecke_orbit_code': 117093590345226048, 'n': 48, 'trace_an': 0}
- 
              id: 162665390
              {'hecke_orbit_code': 117093590345226048, 'n': 49, 'trace_an': 2}
- 
              id: 162665391
              {'hecke_orbit_code': 117093590345226048, 'n': 50, 'trace_an': 0}
- 
              id: 162665392
              {'hecke_orbit_code': 117093590345226048, 'n': 51, 'trace_an': -8}
- 
              id: 162665393
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- 
              id: 162665394
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- 
              id: 162665395
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- 
              id: 162665396
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- 
              id: 162665397
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- 
              id: 162665398
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- 
              id: 162665399
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- 
              id: 162665400
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- 
              id: 162665401
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- 
              id: 162665402
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- 
              id: 162665403
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- 
              id: 162665404
              {'hecke_orbit_code': 117093590345226048, 'n': 63, 'trace_an': -6}
- 
              id: 162665405
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- 
              id: 162665406
              {'hecke_orbit_code': 117093590345226048, 'n': 65, 'trace_an': 0}
- 
              id: 162665407
              {'hecke_orbit_code': 117093590345226048, 'n': 66, 'trace_an': 0}
- 
              id: 162665408
              {'hecke_orbit_code': 117093590345226048, 'n': 67, 'trace_an': -7}
- 
              id: 162665409
              {'hecke_orbit_code': 117093590345226048, 'n': 68, 'trace_an': 0}
- 
              id: 162665410
              {'hecke_orbit_code': 117093590345226048, 'n': 69, 'trace_an': 0}
- 
              id: 162665411
              {'hecke_orbit_code': 117093590345226048, 'n': 70, 'trace_an': 0}
- 
              id: 162665412
              {'hecke_orbit_code': 117093590345226048, 'n': 71, 'trace_an': 14}
- 
              id: 162665413
              {'hecke_orbit_code': 117093590345226048, 'n': 72, 'trace_an': 0}
- 
              id: 162665414
              {'hecke_orbit_code': 117093590345226048, 'n': 73, 'trace_an': -16}
- 
              id: 162665415
              {'hecke_orbit_code': 117093590345226048, 'n': 74, 'trace_an': 0}
- 
              id: 162665416
              {'hecke_orbit_code': 117093590345226048, 'n': 75, 'trace_an': -1}
- 
              id: 162665417
              {'hecke_orbit_code': 117093590345226048, 'n': 76, 'trace_an': 0}
- 
              id: 162665418
              {'hecke_orbit_code': 117093590345226048, 'n': 77, 'trace_an': 0}
- 
              id: 162665419
              {'hecke_orbit_code': 117093590345226048, 'n': 78, 'trace_an': 0}
- 
              id: 162665420
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- 
              id: 162665421
              {'hecke_orbit_code': 117093590345226048, 'n': 80, 'trace_an': 0}
- 
              id: 162665422
              {'hecke_orbit_code': 117093590345226048, 'n': 81, 'trace_an': 1}
- 
              id: 162665423
              {'hecke_orbit_code': 117093590345226048, 'n': 82, 'trace_an': 0}
- 
              id: 162665424
              {'hecke_orbit_code': 117093590345226048, 'n': 83, 'trace_an': -12}
- 
              id: 162665425
              {'hecke_orbit_code': 117093590345226048, 'n': 84, 'trace_an': 0}
- 
              id: 162665426
              {'hecke_orbit_code': 117093590345226048, 'n': 85, 'trace_an': -8}
- 
              id: 162665427
              {'hecke_orbit_code': 117093590345226048, 'n': 86, 'trace_an': 0}
- 
              id: 162665428
              {'hecke_orbit_code': 117093590345226048, 'n': 87, 'trace_an': 2}
- 
              id: 162665429
              {'hecke_orbit_code': 117093590345226048, 'n': 88, 'trace_an': 0}
- 
              id: 162665430
              {'hecke_orbit_code': 117093590345226048, 'n': 89, 'trace_an': 9}
- 
              id: 162665431
              {'hecke_orbit_code': 117093590345226048, 'n': 90, 'trace_an': 0}
- 
              id: 162665432
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