-
mf_newforms • Show schema
Hide schema
{'Nk2': 48552, 'analytic_conductor': 96.92241797343013, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, -1], [17, 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': [12138, 1, [8093, 10405, 9829], [26, 26, 26]], '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': 26, 'hecke_orbit_code': 112589990717828970, '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': '12138.2.a.z', 'level': 12138, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 17], 'level_radical': 714, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\\cdots', 'related_objects': ['EllipticCurve/Q/12138/z'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '12138.2.a', 'trace_display': [1, 1, -1, 1], 'traces': [1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 3, 1, 0, 1, -1, 1, 0, 1, 0, -1, 1, 3, -4, 1, -4, 0, 1, 1, 3, -1, 5, 1, 3, 0, -1, 1, -4, 0, 0, -1, 0, 1, 6, 3, -1, -4, 12, 1, 1, -4, 0, 0, -7, 1, -3, 1, 0, 3, 7, -1, 6, 5, 1, 1, 0, 3, 6, 0, -4, -1, 12, 1, -3, -4, -4, 0, 3, 0, 5, -1, 1, 0, -8, 1, 0, 6, 3, 3, -16, -1, 0, -4, 5, 12, 0, 1, 7, 1, 3, -4], 'weight': 2, 'weight_parity': 1}
-
label 12138.2.a.z does not appear in mf_hecke_nf
-
mf_newspaces • Show schema
Hide schema
{'ALdims': [18, 16, 18, 16, 18, 16, 18, 16, 21, 12, 14, 20, 14, 20, 21, 12], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], 'ALdims_old': [118, 145, 135, 129, 135, 129, 135, 127, 132, 132, 130, 133, 139, 124, 123, 141], 'Nk2': 48552, 'analytic_conductor': 96.92241797343013, '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': [12138, 1, [8093, 10405, 9829], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2377, 'dim': 270, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_orbit_code': 33566570, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 12, 12], 'label': '12138.2.a', 'level': 12138, '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, 17], 'level_radical': 714, 'mf_dim': 2520, 'mf_new_dim': 270, 'num_forms': 82, 'plus_dim': 120, 'prim_orbit_index': 1, 'relative_dim': 270, 'sturm_bound': 4896, 'trace_display': [-2, 0, -4, 0], 'traces': [270, -2, 0, 270, -4, 0, 0, -2, 270, -4, -8, 0, -20, 0, -8, 270, 0, -2, -16, -4, -2, 0, 0, 0, 258, -4, 0, 0, -12, -8, -16, -2, -16, 0, 8, 270, -20, 16, -8, -4, -4, -2, -8, -8, -4, 0, 16, 0, 270, 2, 0, -20, 36, 0, 0, 0, -16, 12, 32, -8, -4, 32, 0, 270, 24, 0, -40, 0, 0, -8, 16, -2, 12, -12, -32, -16, -16, 0, 0, -4, 270, 28, 0, -2, 0, -8, 0, 0, -36, -4, 0, 0, -16, -16, 32, 0, 12, -2, -8, 258, 28, 0, -48, -4, 4, -28, -8, 0, 28, 0, -16, 0, 28, 24, 16, -12, -20, 32, 0, -8, 246, -36, 16, -16, 24, 0, 0, -2, -16, -8, 48, -16, 16, 24, -8, 0, 44, 0, 64, 8, 32, 0, 112, 270, 56, 12, 0, -20, 36, 32, 32, 16, 0, 0, 0, -8, 12, 48, 0, -4, -16, -2, 32, -4, 16, 32, 64, -2, 242, 0, -16, -8, -4, 0, 0, -8, 16, 28, -40, -4, 12, 8, -24, 0, -40, 0, 0, 16, -2, 32, -32, 0, 12, 12, 16, 270, -60, 0, 48, 2, -16, -20, -32, 0, -56, -32, 0, -20, -32, 4, -64, 36, 0, 16, 48, 0, -16, -12, 16, 0, 0, 0, -32, 0, 258, 28, 48, -16, -52, 64, 8, 12, 44, -4, 48, 32, -64, 0, -80, -8, -116, 22, 0, -4, -4, 0, -48, 32, 48, -72, -48, 0, 0, -64, 0, 270, -36, 48, -32, 24, -12, 16, 0, 0, 8, -24, -40, -40, -68, -8, -80, 0, 12, 12, -56, 0, -4, 16, -16, -8, -132, -16, 16, 16, 16, 0, 16, -2, 0, 456, -32, 12, 492, 0, -112, -12, -16, 500, -160, -32, -16, -16, -8, -16, 568, 0, 16, -16, 8, -32, -48, 0, -68, 492, 8, 0, -60, 32, -128, -4, 16, -16, 0, 270, 500, 8, -16, 28, -16, 16, -72, 0, -20, 64, -16, -2, 12, 434, -48, 0, -240, 16, 0, -8, 0, 12, 8, 0, -52, 0, -8, 0, 572, 24, -128, -36, 0, 72, -112, -4, 182, -68, 0, 0, -152, 8, -128, 0, -4, 568, -16, -16, -12, 0, 0, -16, -56, -2, 32, 32, 16, -96, -48, 0, 48, -36, -8, 12, 436, 48, 0, -2, -24, -20, -64, -8, -68, 16, -16, 258, -100, -32, 32, 28, -4, -16, -192, 0, -84, 440, 16, -48, 8, 0, 80, -4, -72, 0, 0, 4, -92, -104, 16, -28, 0, 0, -8, -8, -48, -48, -112, 0, 524, 0, 112, 28, 32, -32, -48, 0, 270, 0, -24, -16, 88, -32, 0, 0, -100, 2, -112, 28, -32, -16, -32, 24, -36, 476, 0, 16, -84, 0, -32, -12, 64, -20, -96, -20, 48, 32, -88, 32, 32, 0, -96, 0, 36, -16, -144, -8, 136, -84, 24, 246, 392, 0, 16, -36, 48, -4, -88, 16, 0, -32, 0, -16, -32, 24, 80, 24, -16, -48, 80, 0, 88, -80, -32, 0, -52, 0, 48, -2, -16, 556, 96, -16, -96, 16, 72, -8, -132, 12, -32, 48, 2, -48, 0, -16, 94, -120, 32, 16, 104, 40, 80, 24, 32, 44, -8, -8, -36, -144, -8, 0, 456, -4, 80, 44, -4, 80, -96, 0, -16, -28, 96, 64, -60, 32, 32, 8, 0, -164, -112, 32, -40, 96, 0, 0, 76, 0, -16, 112, 64, -32, 96, 270, -52, 0, 32, 56, 88, -80, -32, 12, 24, -84, 32, 0, 16, 64, 16, -20, 60, 0, 0, 36, -32, -32, -208, 32, -116, -48, -40, 32, -20, 0, 16, 16, 20, -24, -48, 0, 644, 48, 48, 0, -20, -24, 64, 0, 0, -64, -32, -8, 278, -100, 48, 12, 0, -8, -112, 48, 0, 28, 128, 0, -20, 32, 16, -4, -132, -16, 128, -16, 16, 0, -144, -2, -32, 420, 0, 32, 100, -16, -112, -4, 12, 16, -8, 16, -148, -88, 0, 32, 48, -12, -64, 64, -40, 112, -208, -2, -4, -100, -32, 242, 44, 64, 32, 0, -24, -160, 120, -16, 88, 0, -8, -8, 600, -16, -224, -4, -16, 96, 0, 0, 0, 44, 0, 0, -28, 0, 144, -8, 16, -116, -24, 16, 12, 16, 0, 28, -48, 0, -16, -40, -32, 32, 112, -4, 32, -58, 16, 12, 76, -64, -160, 8, 270, 488, 0, -24, 108, -80, -8, 0, 64, 28, 24, -40, -144, 0, 128, 0, -56, -156, 0, 0, 32, 0, -160, 16, -48, -88, 96, -2, -76, 72, 112, 32, -180, -32, 16, -32, 0, -160, -112, 0, 92, 0, -40, 12, 652, -8, 48, 12, -12, 20, -144, 16, -304, 0, 0, 270, 184, -40, -48, -60, -32, -32, -96, 0, 120, -20, -48, 48, -228, -16, 0, 2, -36, 28, 224, -16, -32, 16, -72, -20, 140, -4, 80, -32, 88, -144, -16, 0, -128, 380, 0, -56, -124, -48, 80, -32, -160, 32, 72, 0, 92, 0, -176, -20, 0, 24, -128, -32, -16, 48, -96, 4, 130, -108, 16, -64, 228, -16, -32, 36, -56, 0, 16, 0, -4, 40, 32, 16, 28, -48, -16, 48, 36, -144, 48, 0, 664, -52, 0, -16, -48, -64, -208, -12, 12, 0, 48, 16, 60, 32, 40, 0, -100, -2, -104, 0, -96, -8, -96, 0, -32, -136, -8, -32, -16, -16, -112, 0, -64, -20, -256, 258, 0, -64, -24, 28, -136, -48, -112, 48, 28, 16, -48, -16, -64, 396, -96, -52, -24, 0, -160, 64, 16, -292, 224, 8, -204, 0, -48, 12, 12, 0, -16, 44, -112, 32, 0, -4, -164, 32, -96, 48, -148, -48, -128, 32, 4, 48, 8, -64, -40, 144, -64, 0, -100, -28, 32, -80, 128, 0, -32, -8, 158, 40, -8, -116, 248, -8, -192, 22, 0, -152, -160, 0, -40, -112, 72, -4, -228, 16, -256, -4, 28, 8, 64, 0, -136, 0, -16, -48, 192, 0, -256, 32, -112, -32, -272, 48, 44, 152, -16, -72], 'weight': 2, 'weight_parity': 1}
-
source_label 12138.2.a.z does not appear in mf_twists_nf
-
hecke_orbit_code 112589990717828970 does not appear in mf_hecke_charpolys
-
label 12138.2.a.z does not appear in mf_newform_portraits
-
mf_hecke_traces • Show schema
Hide schema
-
id: 161451742
{'hecke_orbit_code': 112589990717828970, 'n': 1, 'trace_an': 1}
-
id: 161451743
{'hecke_orbit_code': 112589990717828970, 'n': 2, 'trace_an': 1}
-
id: 161451744
{'hecke_orbit_code': 112589990717828970, 'n': 3, 'trace_an': 1}
-
id: 161451745
{'hecke_orbit_code': 112589990717828970, 'n': 4, 'trace_an': 1}
-
id: 161451746
{'hecke_orbit_code': 112589990717828970, 'n': 5, 'trace_an': -1}
-
id: 161451747
{'hecke_orbit_code': 112589990717828970, 'n': 6, 'trace_an': 1}
-
id: 161451748
{'hecke_orbit_code': 112589990717828970, 'n': 7, 'trace_an': 1}
-
id: 161451749
{'hecke_orbit_code': 112589990717828970, 'n': 8, 'trace_an': 1}
-
id: 161451750
{'hecke_orbit_code': 112589990717828970, 'n': 9, 'trace_an': 1}
-
id: 161451751
{'hecke_orbit_code': 112589990717828970, 'n': 10, 'trace_an': -1}
-
id: 161451752
{'hecke_orbit_code': 112589990717828970, 'n': 11, 'trace_an': 3}
-
id: 161451753
{'hecke_orbit_code': 112589990717828970, 'n': 12, 'trace_an': 1}
-
id: 161451754
{'hecke_orbit_code': 112589990717828970, 'n': 13, 'trace_an': 0}
-
id: 161451755
{'hecke_orbit_code': 112589990717828970, 'n': 14, 'trace_an': 1}
-
id: 161451756
{'hecke_orbit_code': 112589990717828970, 'n': 15, 'trace_an': -1}
-
id: 161451757
{'hecke_orbit_code': 112589990717828970, 'n': 16, 'trace_an': 1}
-
id: 161451758
{'hecke_orbit_code': 112589990717828970, 'n': 17, 'trace_an': 0}
-
id: 161451759
{'hecke_orbit_code': 112589990717828970, 'n': 18, 'trace_an': 1}
-
id: 161451760
{'hecke_orbit_code': 112589990717828970, 'n': 19, 'trace_an': 0}
-
id: 161451761
{'hecke_orbit_code': 112589990717828970, 'n': 20, 'trace_an': -1}
-
id: 161451762
{'hecke_orbit_code': 112589990717828970, 'n': 21, 'trace_an': 1}
-
id: 161451763
{'hecke_orbit_code': 112589990717828970, 'n': 22, 'trace_an': 3}
-
id: 161451764
{'hecke_orbit_code': 112589990717828970, 'n': 23, 'trace_an': -4}
-
id: 161451765
{'hecke_orbit_code': 112589990717828970, 'n': 24, 'trace_an': 1}
-
id: 161451766
{'hecke_orbit_code': 112589990717828970, 'n': 25, 'trace_an': -4}
-
id: 161451767
{'hecke_orbit_code': 112589990717828970, 'n': 26, 'trace_an': 0}
-
id: 161451768
{'hecke_orbit_code': 112589990717828970, 'n': 27, 'trace_an': 1}
-
id: 161451769
{'hecke_orbit_code': 112589990717828970, 'n': 28, 'trace_an': 1}
-
id: 161451770
{'hecke_orbit_code': 112589990717828970, 'n': 29, 'trace_an': 3}
-
id: 161451771
{'hecke_orbit_code': 112589990717828970, 'n': 30, 'trace_an': -1}
-
id: 161451772
{'hecke_orbit_code': 112589990717828970, 'n': 31, 'trace_an': 5}
-
id: 161451773
{'hecke_orbit_code': 112589990717828970, 'n': 32, 'trace_an': 1}
-
id: 161451774
{'hecke_orbit_code': 112589990717828970, 'n': 33, 'trace_an': 3}
-
id: 161451775
{'hecke_orbit_code': 112589990717828970, 'n': 34, 'trace_an': 0}
-
id: 161451776
{'hecke_orbit_code': 112589990717828970, 'n': 35, 'trace_an': -1}
-
id: 161451777
{'hecke_orbit_code': 112589990717828970, 'n': 36, 'trace_an': 1}
-
id: 161451778
{'hecke_orbit_code': 112589990717828970, 'n': 37, 'trace_an': -4}
-
id: 161451779
{'hecke_orbit_code': 112589990717828970, 'n': 38, 'trace_an': 0}
-
id: 161451780
{'hecke_orbit_code': 112589990717828970, 'n': 39, 'trace_an': 0}
-
id: 161451781
{'hecke_orbit_code': 112589990717828970, 'n': 40, 'trace_an': -1}
-
id: 161451782
{'hecke_orbit_code': 112589990717828970, 'n': 41, 'trace_an': 0}
-
id: 161451783
{'hecke_orbit_code': 112589990717828970, 'n': 42, 'trace_an': 1}
-
id: 161451784
{'hecke_orbit_code': 112589990717828970, 'n': 43, 'trace_an': 6}
-
id: 161451785
{'hecke_orbit_code': 112589990717828970, 'n': 44, 'trace_an': 3}
-
id: 161451786
{'hecke_orbit_code': 112589990717828970, 'n': 45, 'trace_an': -1}
-
id: 161451787
{'hecke_orbit_code': 112589990717828970, 'n': 46, 'trace_an': -4}
-
id: 161451788
{'hecke_orbit_code': 112589990717828970, 'n': 47, 'trace_an': 12}
-
id: 161451789
{'hecke_orbit_code': 112589990717828970, 'n': 48, 'trace_an': 1}
-
id: 161451790
{'hecke_orbit_code': 112589990717828970, 'n': 49, 'trace_an': 1}
-
id: 161451791
{'hecke_orbit_code': 112589990717828970, 'n': 50, 'trace_an': -4}
-
id: 161451792
{'hecke_orbit_code': 112589990717828970, 'n': 51, 'trace_an': 0}
-
id: 161451793
{'hecke_orbit_code': 112589990717828970, 'n': 52, 'trace_an': 0}
-
id: 161451794
{'hecke_orbit_code': 112589990717828970, 'n': 53, 'trace_an': -7}
-
id: 161451795
{'hecke_orbit_code': 112589990717828970, 'n': 54, 'trace_an': 1}
-
id: 161451796
{'hecke_orbit_code': 112589990717828970, 'n': 55, 'trace_an': -3}
-
id: 161451797
{'hecke_orbit_code': 112589990717828970, 'n': 56, 'trace_an': 1}
-
id: 161451798
{'hecke_orbit_code': 112589990717828970, 'n': 57, 'trace_an': 0}
-
id: 161451799
{'hecke_orbit_code': 112589990717828970, 'n': 58, 'trace_an': 3}
-
id: 161451800
{'hecke_orbit_code': 112589990717828970, 'n': 59, 'trace_an': 7}
-
id: 161451801
{'hecke_orbit_code': 112589990717828970, 'n': 60, 'trace_an': -1}
-
id: 161451802
{'hecke_orbit_code': 112589990717828970, 'n': 61, 'trace_an': 6}
-
id: 161451803
{'hecke_orbit_code': 112589990717828970, 'n': 62, 'trace_an': 5}
-
id: 161451804
{'hecke_orbit_code': 112589990717828970, 'n': 63, 'trace_an': 1}
-
id: 161451805
{'hecke_orbit_code': 112589990717828970, 'n': 64, 'trace_an': 1}
-
id: 161451806
{'hecke_orbit_code': 112589990717828970, 'n': 65, 'trace_an': 0}
-
id: 161451807
{'hecke_orbit_code': 112589990717828970, 'n': 66, 'trace_an': 3}
-
id: 161451808
{'hecke_orbit_code': 112589990717828970, 'n': 67, 'trace_an': 6}
-
id: 161451809
{'hecke_orbit_code': 112589990717828970, 'n': 68, 'trace_an': 0}
-
id: 161451810
{'hecke_orbit_code': 112589990717828970, 'n': 69, 'trace_an': -4}
-
id: 161451811
{'hecke_orbit_code': 112589990717828970, 'n': 70, 'trace_an': -1}
-
id: 161451812
{'hecke_orbit_code': 112589990717828970, 'n': 71, 'trace_an': 12}
-
id: 161451813
{'hecke_orbit_code': 112589990717828970, 'n': 72, 'trace_an': 1}
-
id: 161451814
{'hecke_orbit_code': 112589990717828970, 'n': 73, 'trace_an': -3}
-
id: 161451815
{'hecke_orbit_code': 112589990717828970, 'n': 74, 'trace_an': -4}
-
id: 161451816
{'hecke_orbit_code': 112589990717828970, 'n': 75, 'trace_an': -4}
-
id: 161451817
{'hecke_orbit_code': 112589990717828970, 'n': 76, 'trace_an': 0}
-
id: 161451818
{'hecke_orbit_code': 112589990717828970, 'n': 77, 'trace_an': 3}
-
id: 161451819
{'hecke_orbit_code': 112589990717828970, 'n': 78, 'trace_an': 0}
-
id: 161451820
{'hecke_orbit_code': 112589990717828970, 'n': 79, 'trace_an': 5}
-
id: 161451821
{'hecke_orbit_code': 112589990717828970, 'n': 80, 'trace_an': -1}
-
id: 161451822
{'hecke_orbit_code': 112589990717828970, 'n': 81, 'trace_an': 1}
-
id: 161451823
{'hecke_orbit_code': 112589990717828970, 'n': 82, 'trace_an': 0}
-
id: 161451824
{'hecke_orbit_code': 112589990717828970, 'n': 83, 'trace_an': -8}
-
id: 161451825
{'hecke_orbit_code': 112589990717828970, 'n': 84, 'trace_an': 1}
-
id: 161451826
{'hecke_orbit_code': 112589990717828970, 'n': 85, 'trace_an': 0}
-
id: 161451827
{'hecke_orbit_code': 112589990717828970, 'n': 86, 'trace_an': 6}
-
id: 161451828
{'hecke_orbit_code': 112589990717828970, 'n': 87, 'trace_an': 3}
-
id: 161451829
{'hecke_orbit_code': 112589990717828970, 'n': 88, 'trace_an': 3}
-
id: 161451830
{'hecke_orbit_code': 112589990717828970, 'n': 89, 'trace_an': -16}
-
id: 161451831
{'hecke_orbit_code': 112589990717828970, 'n': 90, 'trace_an': -1}
-
id: 161451832
{'hecke_orbit_code': 112589990717828970, 'n': 91, 'trace_an': 0}
-
id: 161451833
{'hecke_orbit_code': 112589990717828970, 'n': 92, 'trace_an': -4}
-
id: 161451834
{'hecke_orbit_code': 112589990717828970, 'n': 93, 'trace_an': 5}
-
id: 161451835
{'hecke_orbit_code': 112589990717828970, 'n': 94, 'trace_an': 12}
-
id: 161451836
{'hecke_orbit_code': 112589990717828970, 'n': 95, 'trace_an': 0}
-
id: 161451837
{'hecke_orbit_code': 112589990717828970, 'n': 96, 'trace_an': 1}
-
id: 161451838
{'hecke_orbit_code': 112589990717828970, 'n': 97, 'trace_an': 7}
-
id: 161451839
{'hecke_orbit_code': 112589990717828970, 'n': 98, 'trace_an': 1}
-
id: 161451840
{'hecke_orbit_code': 112589990717828970, 'n': 99, 'trace_an': 3}
-
id: 161451841
{'hecke_orbit_code': 112589990717828970, 'n': 100, 'trace_an': -4}