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mf_newforms • Show schema
Hide schema
{'Nk2': 47040, 'analytic_conductor': 93.90407277702573, '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': [11760, 1, [1471, 8821, 7841, 7057, 6961], [34, 34, 34, 34, 34]], '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': 34, 'hecke_orbit_code': 148618787736792560, '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': '11760.2.a.bh', 'level': 11760, '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^{3}+q^{5}+q^{9}+6q^{11}-3q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/11760/bh'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '11760.2.a', 'trace_display': [0, -1, 1, 0], 'traces': [1, 0, -1, 0, 1, 0, 0, 0, 1, 0, 6, 0, -3, 0, -1, 0, -4, 0, -1, 0, 0, 0, 4, 0, 1, 0, -1, 0, -8, 0, -1, 0, -6, 0, 0, 0, 7, 0, 3, 0, -6, 0, -1, 0, 1, 0, -2, 0, 0, 0, 4, 0, 4, 0, 6, 0, 1, 0, 8, 0, -14, 0, 0, 0, -3, 0, -7, 0, -4, 0, -6, 0, 1, 0, -1, 0, 0, 0, 1, 0, 1, 0, -2, 0, -4, 0, 8, 0, -12, 0, 0, 0, 1, 0, -1, 0, -6, 0, 6, 0], 'weight': 2, 'weight_parity': 1}
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label 11760.2.a.bh does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [11, 9, 11, 9, 9, 12, 9, 12, 12, 9, 8, 12, 8, 12, 12, 9], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], 'ALdims_old': [142, 161, 161, 145, 155, 146, 151, 154, 152, 153, 152, 150, 160, 146, 144, 157], 'Nk2': 47040, 'analytic_conductor': 93.90407277702573, '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': [11760, 1, [1471, 8821, 7841, 7057, 6961], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2593, 'dim': 164, 'eis_dim': 191, 'eis_new_dim': 0, 'hecke_orbit_code': 33566192, '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, 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, 4, 4, 4, 4, 4, 4], 'label': '11760.2.a', 'level': 11760, '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': 2784, 'mf_new_dim': 164, 'num_forms': 110, 'plus_dim': 75, 'prim_orbit_index': 1, 'relative_dim': 164, 'sturm_bound': 5376, 'trace_display': [0, 2, 0, 0], 'traces': [164, 0, 2, 0, 0, 0, 0, 0, 164, 0, -8, 0, 0, 0, 2, 0, 0, 0, 8, 0, 0, 0, -8, 0, 164, 0, 2, 0, 16, 0, 8, 0, 0, 0, 0, 0, 16, 0, 4, 0, -8, 0, -16, 0, 0, 0, -24, 0, 0, 0, 4, 0, 0, 0, -8, 0, 8, 0, -40, 0, -24, 0, 0, 0, -8, 0, -16, 0, -8, 0, -48, 0, 8, 0, 2, 0, 0, 0, -24, 0, 164, 0, -24, 0, -8, 0, -12, 0, 8, 0, 0, 0, 0, 0, 0, 0, 24, 0, -8, 0, -16, 0, -64, 0, 0, 0, -72, 0, 8, 0, 4, 0, 48, 0, 16, 0, 0, 0, 0, 0, 196, 0, -36, 0, 0, 0, -8, 0, 16, 0, 40, 0, 0, 0, 2, 0, 48, 0, -56, 0, -24, 0, 16, 0, 8, 0, 0, 0, 32, 0, -144, 0, 0, 0, -16, 0, 0, 0, -20, 0, 0, 0, -120, 0, 0, 0, -88, 0, 188, 0, 8, 0, 0, 0, 0, 0, -16, 0, -8, 0, -24, 0, -124, 0, 8, 0, -16, 0, 0, 0, 80, 0, 40, 0, 12, 0, 32, 0, 24, 0, 32, 0, 0, 0, 0, 0, -8, 0, 32, 0, -144, 0, -16, 0, 24, 0, 0, 0, 36, 0, 16, 0, 0, 0, 164, 0, -40, 0, 56, 0, 0, 0, 64, 0, -8, 0, 16, 0, -112, 0, 40, 0, 2, 0, 0, 0, -120, 0, -32, 0, 56, 0, 32, 0, -12, 0, 48, 0, 0, 0, 16, 0, -8, 0, -24, 0, -36, 0, 48, 0, -24, 0, 0, 0, -8, 0, 16, 0, 8, 0, 40, 0, 72, 0, -8, 0, 0, 0, 140, 0, -164, 0, -32, 0, 40, 0, 0, 0, 16, 0, 0, 0, -4, 0, -16, 0, 56, 0, 16, 0, 160, 0, 72, 0, 0, 0, 0, 0, 48, 0, 0, 0, 32, 0, 0, 0, 12, 0, 0, 0, 8, 0, 16, 0, -24, 0, 8, 0, 68, 0, 0, 0, 0, 0, 8, 0, 392, 0, 72, 0, 4, 0, -32, 0, 0, 0, 0, 0, 288, 0, 148, 0, -22, 0, 16, 0, -48, 0, -8, 0, 0, 0, 64, 0, 2, 0, -16, 0, 296, 0, 16, 0, 88, 0, 0, 0, -16, 0, 32, 0, 32, 0, 0, 0, 32, 0, 48, 0, 0, 0, 8, 0, -216, 0, 0, 0, 288, 0, -24, 0, -44, 0, 0, 0, 24, 0, 40, 0, -40, 0, 88, 0, -24, 0, 0, 0, 0, 0, 32, 0, -16, 0, 40, 0, -12, 0, 64, 0, 24, 0, 0, 0, 392, 0, 16, 0, -12, 0, 40, 0, 48, 0, 32, 0, 0, 0, 88, 0, 4, 0, 64, 0, 40, 0, -16, 0, -88, 0, 0, 0, -212, 0, 32, 0, 8, 0, 0, 0, 112, 0, -16, 0, 0, 0, 0, 0, 280, 0, 16, 0, 104, 0, 48, 0, -8, 0, 0, 0, 152, 0, -24, 0, 88, 0, -24, 0, 110, 0, -48, 0, 0, 0, 8, 0, 64, 0, -64, 0, 76, 0, -24, 0, 72, 0, 0, 0, 240, 0, 244, 0, -40, 0, -32, 0, -48, 0, 32, 0, 0, 0, -24, 0, 76, 0, 16, 0, -248, 0, -24, 0, -16, 0, 0, 0, -12, 0, -128, 0, 240, 0, -32, 0, -40, 0, 8, 0, 0, 0, 104, 0, 40, 0, 32, 0, -8, 0, 24, 0, 4, 0, 0, 0, -48, 0, -8, 0, 248, 0, -128, 0, -100, 0, -16, 0, 0, 0, 16, 0, 304, 0, -24, 0, -16, 0, -32, 0, 128, 0, 0, 0, 0, 0, -48, 0, -20, 0, 64, 0, 40, 0, -8, 0, 0, 0, 164, 0, 64, 0, -144, 0, -96, 0, 8, 0, -80, 0, 0, 0, -48, 0, -8, 0, -168, 0, -16, 0, 88, 0, 96, 0, 0, 0, -96, 0, -24, 0, 8, 0, 168, 0, 8, 0, -104, 0, 0, 0, 256, 0, 32, 0, -64, 0, 72, 0, 2, 0, -160, 0, 0, 0, 0, 0, 136, 0, 8, 0, 124, 0, 16, 0, -104, 0, 0, 0, 80, 0, -64, 0, -108, 0, 48, 0, -48, 0, -8, 0, 0, 0, 24, 0, -24, 0, -128, 0, -64, 0, 16, 0, 16, 0, 0, 0, -116, 0, 16, 0, -240, 0, 164, 0, -272, 0, -144, 0, 0, 0, 32, 0, 104, 0, -48, 0, 200, 0, 24, 0, -24, 0, 0, 0, 8, 0, 48, 0, 96, 0, -80, 0, -80, 0, -56, 0, 0, 0, -8, 0, -112, 0, -24, 0, 52, 0, 128, 0, 8, 0, 0, 0, 224, 0, 0, 0, -12, 0, 24, 0, 184, 0, 56, 0, 0, 0, 32, 0, -12, 0, -96, 0, 176, 0, 8, 0, -176, 0, 0, 0, 12, 0, 24, 0, -136, 0, -48, 0, -8, 0, 64, 0, 0, 0, 16, 0, 16, 0, 0, 0, 360, 0, 8, 0, 52, 0, 0, 0, 72, 0, 0, 0, 144, 0, 284, 0, 68, 0, 64, 0, 0, 0, 64, 0, -48, 0, -16, 0, 0, 0, 0, 0, 40, 0, 0, 0, -88, 0, 8, 0, 38, 0, -96, 0, -144, 0, 24, 0, 0, 0, 0, 0, 220, 0, 72, 0, 48, 0, 16, 0, 88, 0, 0, 0, -8, 0, 32, 0, -72, 0, -48, 0, -240, 0, 48, 0, 0, 0, 48, 0, 208, 0, -16, 0, -160, 0, -96, 0, 28, 0, 0, 0, 104, 0, -16, 0, -32, 0, 16, 0, -64, 0, 104, 0, 0, 0, -16, 0, -128, 0, -40, 0, -76, 0, 224, 0, -128, 0, 0, 0, -328, 0, -160, 0, 60, 0, -16, 0, -16, 0, -96, 0, 0, 0, 180, 0, -72, 0, 16, 0, 248, 0, -80, 0, 152, 0, 0, 0, 4, 0, -128, 0, -176, 0, 8, 0, 168, 0, -24, 0, 0, 0, -128, 0, 120, 0, 8, 0, -16, 0, -96, 0, 4, 0], 'weight': 2, 'weight_parity': 1}
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source_label 11760.2.a.bh does not appear in mf_twists_nf
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hecke_orbit_code 148618787736792560 does not appear in mf_hecke_charpolys
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label 11760.2.a.bh does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 166462742
{'hecke_orbit_code': 148618787736792560, 'n': 1, 'trace_an': 1}
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id: 166462743
{'hecke_orbit_code': 148618787736792560, 'n': 2, 'trace_an': 0}
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id: 166462744
{'hecke_orbit_code': 148618787736792560, 'n': 3, 'trace_an': -1}
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id: 166462745
{'hecke_orbit_code': 148618787736792560, 'n': 4, 'trace_an': 0}
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id: 166462746
{'hecke_orbit_code': 148618787736792560, 'n': 5, 'trace_an': 1}
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id: 166462747
{'hecke_orbit_code': 148618787736792560, 'n': 6, 'trace_an': 0}
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id: 166462748
{'hecke_orbit_code': 148618787736792560, 'n': 7, 'trace_an': 0}
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id: 166462749
{'hecke_orbit_code': 148618787736792560, 'n': 8, 'trace_an': 0}
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id: 166462750
{'hecke_orbit_code': 148618787736792560, 'n': 9, 'trace_an': 1}
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id: 166462751
{'hecke_orbit_code': 148618787736792560, 'n': 10, 'trace_an': 0}
-
id: 166462752
{'hecke_orbit_code': 148618787736792560, 'n': 11, 'trace_an': 6}
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id: 166462753
{'hecke_orbit_code': 148618787736792560, 'n': 12, 'trace_an': 0}
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id: 166462754
{'hecke_orbit_code': 148618787736792560, 'n': 13, 'trace_an': -3}
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id: 166462755
{'hecke_orbit_code': 148618787736792560, 'n': 14, 'trace_an': 0}
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id: 166462756
{'hecke_orbit_code': 148618787736792560, 'n': 15, 'trace_an': -1}
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id: 166462757
{'hecke_orbit_code': 148618787736792560, 'n': 16, 'trace_an': 0}
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id: 166462758
{'hecke_orbit_code': 148618787736792560, 'n': 17, 'trace_an': -4}
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id: 166462759
{'hecke_orbit_code': 148618787736792560, 'n': 18, 'trace_an': 0}
-
id: 166462760
{'hecke_orbit_code': 148618787736792560, 'n': 19, 'trace_an': -1}
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id: 166462761
{'hecke_orbit_code': 148618787736792560, 'n': 20, 'trace_an': 0}
-
id: 166462762
{'hecke_orbit_code': 148618787736792560, 'n': 21, 'trace_an': 0}
-
id: 166462763
{'hecke_orbit_code': 148618787736792560, 'n': 22, 'trace_an': 0}
-
id: 166462764
{'hecke_orbit_code': 148618787736792560, 'n': 23, 'trace_an': 4}
-
id: 166462765
{'hecke_orbit_code': 148618787736792560, 'n': 24, 'trace_an': 0}
-
id: 166462766
{'hecke_orbit_code': 148618787736792560, 'n': 25, 'trace_an': 1}
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id: 166462767
{'hecke_orbit_code': 148618787736792560, 'n': 26, 'trace_an': 0}
-
id: 166462768
{'hecke_orbit_code': 148618787736792560, 'n': 27, 'trace_an': -1}
-
id: 166462769
{'hecke_orbit_code': 148618787736792560, 'n': 28, 'trace_an': 0}
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id: 166462770
{'hecke_orbit_code': 148618787736792560, 'n': 29, 'trace_an': -8}
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id: 166462771
{'hecke_orbit_code': 148618787736792560, 'n': 30, 'trace_an': 0}
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id: 166462772
{'hecke_orbit_code': 148618787736792560, 'n': 31, 'trace_an': -1}
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id: 166462773
{'hecke_orbit_code': 148618787736792560, 'n': 32, 'trace_an': 0}
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id: 166462774
{'hecke_orbit_code': 148618787736792560, 'n': 33, 'trace_an': -6}
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id: 166462775
{'hecke_orbit_code': 148618787736792560, 'n': 34, 'trace_an': 0}
-
id: 166462776
{'hecke_orbit_code': 148618787736792560, 'n': 35, 'trace_an': 0}
-
id: 166462777
{'hecke_orbit_code': 148618787736792560, 'n': 36, 'trace_an': 0}
-
id: 166462778
{'hecke_orbit_code': 148618787736792560, 'n': 37, 'trace_an': 7}
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id: 166462779
{'hecke_orbit_code': 148618787736792560, 'n': 38, 'trace_an': 0}
-
id: 166462780
{'hecke_orbit_code': 148618787736792560, 'n': 39, 'trace_an': 3}
-
id: 166462781
{'hecke_orbit_code': 148618787736792560, 'n': 40, 'trace_an': 0}
-
id: 166462782
{'hecke_orbit_code': 148618787736792560, 'n': 41, 'trace_an': -6}
-
id: 166462783
{'hecke_orbit_code': 148618787736792560, 'n': 42, 'trace_an': 0}
-
id: 166462784
{'hecke_orbit_code': 148618787736792560, 'n': 43, 'trace_an': -1}
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id: 166462785
{'hecke_orbit_code': 148618787736792560, 'n': 44, 'trace_an': 0}
-
id: 166462786
{'hecke_orbit_code': 148618787736792560, 'n': 45, 'trace_an': 1}
-
id: 166462787
{'hecke_orbit_code': 148618787736792560, 'n': 46, 'trace_an': 0}
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id: 166462788
{'hecke_orbit_code': 148618787736792560, 'n': 47, 'trace_an': -2}
-
id: 166462789
{'hecke_orbit_code': 148618787736792560, 'n': 48, 'trace_an': 0}
-
id: 166462790
{'hecke_orbit_code': 148618787736792560, 'n': 49, 'trace_an': 0}
-
id: 166462791
{'hecke_orbit_code': 148618787736792560, 'n': 50, 'trace_an': 0}
-
id: 166462792
{'hecke_orbit_code': 148618787736792560, 'n': 51, 'trace_an': 4}
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id: 166462793
{'hecke_orbit_code': 148618787736792560, 'n': 52, 'trace_an': 0}
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id: 166462794
{'hecke_orbit_code': 148618787736792560, 'n': 53, 'trace_an': 4}
-
id: 166462795
{'hecke_orbit_code': 148618787736792560, 'n': 54, 'trace_an': 0}
-
id: 166462796
{'hecke_orbit_code': 148618787736792560, 'n': 55, 'trace_an': 6}
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id: 166462797
{'hecke_orbit_code': 148618787736792560, 'n': 56, 'trace_an': 0}
-
id: 166462798
{'hecke_orbit_code': 148618787736792560, 'n': 57, 'trace_an': 1}
-
id: 166462799
{'hecke_orbit_code': 148618787736792560, 'n': 58, 'trace_an': 0}
-
id: 166462800
{'hecke_orbit_code': 148618787736792560, 'n': 59, 'trace_an': 8}
-
id: 166462801
{'hecke_orbit_code': 148618787736792560, 'n': 60, 'trace_an': 0}
-
id: 166462802
{'hecke_orbit_code': 148618787736792560, 'n': 61, 'trace_an': -14}
-
id: 166462803
{'hecke_orbit_code': 148618787736792560, 'n': 62, 'trace_an': 0}
-
id: 166462804
{'hecke_orbit_code': 148618787736792560, 'n': 63, 'trace_an': 0}
-
id: 166462805
{'hecke_orbit_code': 148618787736792560, 'n': 64, 'trace_an': 0}
-
id: 166462806
{'hecke_orbit_code': 148618787736792560, 'n': 65, 'trace_an': -3}
-
id: 166462807
{'hecke_orbit_code': 148618787736792560, 'n': 66, 'trace_an': 0}
-
id: 166462808
{'hecke_orbit_code': 148618787736792560, 'n': 67, 'trace_an': -7}
-
id: 166462809
{'hecke_orbit_code': 148618787736792560, 'n': 68, 'trace_an': 0}
-
id: 166462810
{'hecke_orbit_code': 148618787736792560, 'n': 69, 'trace_an': -4}
-
id: 166462811
{'hecke_orbit_code': 148618787736792560, 'n': 70, 'trace_an': 0}
-
id: 166462812
{'hecke_orbit_code': 148618787736792560, 'n': 71, 'trace_an': -6}
-
id: 166462813
{'hecke_orbit_code': 148618787736792560, 'n': 72, 'trace_an': 0}
-
id: 166462814
{'hecke_orbit_code': 148618787736792560, 'n': 73, 'trace_an': 1}
-
id: 166462815
{'hecke_orbit_code': 148618787736792560, 'n': 74, 'trace_an': 0}
-
id: 166462816
{'hecke_orbit_code': 148618787736792560, 'n': 75, 'trace_an': -1}
-
id: 166462817
{'hecke_orbit_code': 148618787736792560, 'n': 76, 'trace_an': 0}
-
id: 166462818
{'hecke_orbit_code': 148618787736792560, 'n': 77, 'trace_an': 0}
-
id: 166462819
{'hecke_orbit_code': 148618787736792560, 'n': 78, 'trace_an': 0}
-
id: 166462820
{'hecke_orbit_code': 148618787736792560, 'n': 79, 'trace_an': 1}
-
id: 166462821
{'hecke_orbit_code': 148618787736792560, 'n': 80, 'trace_an': 0}
-
id: 166462822
{'hecke_orbit_code': 148618787736792560, 'n': 81, 'trace_an': 1}
-
id: 166462823
{'hecke_orbit_code': 148618787736792560, 'n': 82, 'trace_an': 0}
-
id: 166462824
{'hecke_orbit_code': 148618787736792560, 'n': 83, 'trace_an': -2}
-
id: 166462825
{'hecke_orbit_code': 148618787736792560, 'n': 84, 'trace_an': 0}
-
id: 166462826
{'hecke_orbit_code': 148618787736792560, 'n': 85, 'trace_an': -4}
-
id: 166462827
{'hecke_orbit_code': 148618787736792560, 'n': 86, 'trace_an': 0}
-
id: 166462828
{'hecke_orbit_code': 148618787736792560, 'n': 87, 'trace_an': 8}
-
id: 166462829
{'hecke_orbit_code': 148618787736792560, 'n': 88, 'trace_an': 0}
-
id: 166462830
{'hecke_orbit_code': 148618787736792560, 'n': 89, 'trace_an': -12}
-
id: 166462831
{'hecke_orbit_code': 148618787736792560, 'n': 90, 'trace_an': 0}
-
id: 166462832
{'hecke_orbit_code': 148618787736792560, 'n': 91, 'trace_an': 0}
-
id: 166462833
{'hecke_orbit_code': 148618787736792560, 'n': 92, 'trace_an': 0}
-
id: 166462834
{'hecke_orbit_code': 148618787736792560, 'n': 93, 'trace_an': 1}
-
id: 166462835
{'hecke_orbit_code': 148618787736792560, 'n': 94, 'trace_an': 0}
-
id: 166462836
{'hecke_orbit_code': 148618787736792560, 'n': 95, 'trace_an': -1}
-
id: 166462837
{'hecke_orbit_code': 148618787736792560, 'n': 96, 'trace_an': 0}
-
id: 166462838
{'hecke_orbit_code': 148618787736792560, 'n': 97, 'trace_an': -6}
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id: 166462839
{'hecke_orbit_code': 148618787736792560, 'n': 98, 'trace_an': 0}
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id: 166462840
{'hecke_orbit_code': 148618787736792560, 'n': 99, 'trace_an': 6}
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id: 166462841
{'hecke_orbit_code': 148618787736792560, 'n': 100, 'trace_an': 0}