-
mf_newforms • Show schema
{'Nk2': 16560, 'analytic_conductor': 33.05806643681008, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, -1], [23, 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': [4140, 1, [2071, 461, 1657, 3961], [1, 1, 1, 1]], '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': 0, 'hecke_cutters': [[7, [2, 1]], [11, [4, 1]], [13, [2, 1]], [17, [-6, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797781548, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4140.2.a.g', 'level': 4140, '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, 23], 'level_radical': 690, 'minimal_twist': '4140.2.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{5}-2q^{7}-4q^{11}-2q^{13}+6q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/4140/g'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4140.2.a', 'trace_display': [0, 0, 1, -2], 'trace_hash': 566814264671456909, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.984', 'prec': 17}, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
{'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 5, 3, 3, 5, 5, 6, 6, 5], 'Nk2': 16560, 'analytic_conductor': 33.05806643681008, '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': [4140, 1, [2071, 461, 1657, 3961], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 841, 'dim': 38, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17], 'hecke_orbit_code': 33558572, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 5, 5], 'label': '4140.2.a', 'level': 4140, '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, 23], 'level_radical': 690, 'mf_dim': 888, 'mf_new_dim': 38, 'num_forms': 21, 'plus_dim': 16, 'prim_orbit_index': 1, 'relative_dim': 38, 'sturm_bound': 1728, 'trace_bound': 13, 'trace_display': [0, 0, 0, -4], 'traces': [38, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 8, 0, 0, 0, 0, 0, 38, 0, 0, 0, 10, 0, 14, 0, 0, 0, -6, 0, 12, 0, 0, 0, -10, 0, 32, 0, 0, 0, -12, 0, 40, 0, 0, 0, -4, 0, 0, 0, 0, 0, -6, 0, -4, 0, 0, 0, 4, 0, 4, 0, 0, 0, -38, 0, 12, 0, 0, 0, -4, 0, -28, 0, 0, 0, 20, 0, -10, 0, 0, 0, 20, 0, 12, 0, 0, 0, 8, 0, -8, 0, 0, 0, 38, 0, -24, 0, 0, 0, -20, 0, -20, 0, 0, 0, -28, 0, 2, 0, 0, 0, 2, 0, 62, 0, 0, 0, 0, 0, 24, 0, 0, 0, 36, 0, 44, 0, 0, 0, 16, 0, -6, 0, 0, 0, 8, 0, 8, 0, 0, 0, 24, 0, -4, 0, 0, 0, 16, 0, 4, 0, 0, 0, -2, 0, 60, 0, 0, 0, 64, 0, 46, 0, 0, 0, -4, 0, -4, 0, 0, 0, -92, 0, -12, 0, 0, 0, -6, 0, 28, 0, 0, 0, 32, 0, -40, 0, 0, 0, -4, 0, 52, 0, 0, 0, 60, 0, -8, 0, 0, 0, -56, 0, 10, 0, 0, 0, 12, 0, 12, 0, 0, 0, -76, 0, 40, 0, 0, 0, 32, 0, 48, 0, 0, 0, -44, 0, -20, 0, 0, 0, 62, 0, 12, 0, 0, 0, -8, 0, 64, 0, 0, 0, 12, 0, 12, 0, 0, 0, -4, 0, 34, 0, 0, 0, 92, 0, -10, 0, 0, 0, 54, 0, 78, 0, 0, 0, 0, 0, 0, 0, 0, 0, 104, 0, 60, 0, 0, 0, 76, 0, 28, 0, 0, 0, 36, 0, 8, 0, 0, 0, -8, 0, 0, 0, 0, 0, 8, 0, 56, 0, 0, 0, 20, 0, 36, 0, 0, 0, -112, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 36, 0, -2, 0, 0, 0, -46, 0, 56, 0, 0, 0, 24, 0, 100, 0, 0, 0, -96, 0, -38, 0, 0, 0, -40, 0, -8, 0, 0, 0, 36, 0, -34, 0, 0, 0, 32, 0, -4, 0, 0, 0, 130, 0, -80, 0, 0, 0, 72, 0, -4, 0, 0, 0, -76, 0, -40, 0, 0, 0, -60, 0, -2, 0, 0, 0, -24, 0, -16, 0, 0, 0, -92, 0, -72, 0, 0, 0, 116, 0, -26, 0, 0, 0, 36, 0, 38, 0, 0, 0, 84, 0, -172, 0, 0, 0, 4, 0, 60, 0, 0, 0, 24, 0, -36, 0, 0, 0, -20, 0, 84, 0, 0, 0, 112, 0, -8, 0, 0, 0, 30, 0, 48, 0, 0, 0, 20, 0, -60, 0, 0, 0, 40, 0, -44, 0, 0, 0, -4, 0, -62, 0, 0, 0, -168, 0, 8, 0, 0, 0, 40, 0, -28, 0, 0, 0, -8, 0, -96, 0, 0, 0, -14, 0, -76, 0, 0, 0, -116, 0, -22, 0, 0, 0, 28, 0, -16, 0, 0, 0, -16, 0, -56, 0, 0, 0, 8, 0, -128, 0, 0, 0, -176, 0, -24, 0, 0, 0, -36, 0, 38, 0, 0, 0, -72, 0, -30, 0, 0, 0, 56, 0, -88, 0, 0, 0, -36, 0, 72, 0, 0, 0, -192, 0, -148, 0, 0, 0, 36, 0, -24, 0, 0, 0, 100, 0, 42, 0, 0, 0, 56, 0, -52, 0, 0, 0, 0, 0, -20, 0, 0, 0, -86, 0, 132, 0, 0, 0, -68, 0, -56, 0, 0, 0, 76, 0, -8, 0, 0, 0, 40, 0, -14, 0, 0, 0, -16, 0, 20, 0, 0, 0, -132, 0, 8, 0, 0, 0, 84, 0, -20, 0, 0, 0, -108, 0, 38, 0, 0, 0, -150, 0, 16, 0, 0, 0, 0, 0, -88, 0, 0, 0, 64, 0, 92, 0, 0, 0, 152, 0, -72, 0, 0, 0, 144, 0, 0, 0, 0, 0, -52, 0, -16, 0, 0, 0, -16, 0, -8, 0, 0, 0, 56, 0, 32, 0, 0, 0, -20, 0, 148, 0, 0, 0, -92, 0, -36, 0, 0, 0, -148, 0, 80, 0, 0, 0, 16, 0, 76, 0, 0, 0, 32, 0, 108, 0, 0, 0, -20, 0, 8, 0, 0, 0, -40, 0, -4, 0, 0, 0, -22, 0, 40, 0, 0, 0, 10, 0, 124, 0, 0, 0, -128, 0, -276, 0, 0, 0, 52, 0, -114, 0, 0, 0, -112, 0, -24, 0, 0, 0, -102, 0, 124, 0, 0, 0, -48, 0, 36, 0, 0, 0, 14, 0, 64, 0, 0, 0, 0, 0, 12, 0, 0, 0, -48, 0, 14, 0, 0, 0, -8, 0, -112, 0, 0, 0, -18, 0, -124, 0, 0, 0, 122, 0, -80, 0, 0, 0, -108, 0, -100, 0, 0, 0, -240, 0, 8, 0, 0, 0, 70, 0, -74, 0, 0, 0, 56, 0, -72, 0, 0, 0, 28, 0, -164, 0, 0, 0, -220, 0, -110, 0, 0, 0, 176, 0, 16, 0, 0, 0, -68, 0, -88, 0, 0, 0, 48, 0, 28, 0, 0, 0, 14, 0, 12, 0, 0, 0, -52, 0, -34, 0, 0, 0, 64, 0, 4, 0, 0, 0, -88, 0, 84, 0, 0, 0, -6, 0, -148, 0, 0, 0, 100, 0, -48, 0, 0, 0, -80, 0, 8, 0, 0, 0, -72, 0, -8, 0, 0, 0, -70, 0, -126, 0, 0, 0, -8, 0, 108, 0, 0, 0, 88, 0, -36, 0, 0, 0, 40, 0, 72, 0, 0, 0, -104, 0, 12, 0, 0, 0, -22, 0, -48, 0, 0, 0, 8, 0, -136, 0, 0, 0, 44, 0, 16, 0, 0, 0, 100, 0, -4, 0, 0, 0, 144, 0, -16, 0, 0, 0, 52, 0, 212, 0, 0, 0, 16, 0, -244, 0, 0, 0, 100, 0, -20, 0, 0, 0, 108, 0, 8, 0, 0, 0, 124, 0, 24, 0, 0, 0, -8, 0, 162, 0, 0, 0, 60, 0, -96, 0, 0, 0], 'weight': 2, 'weight_parity': 1} -
mf_twists_cc • Show schema
-
id: 45556124
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797781548, 'source_is_minimal': True, 'source_label': '4140.2.a.g.1.1', 'source_level': 4140, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797781548, 'target_is_minimal': True, 'target_label': '4140.2.a.g.1.1', 'target_level': 4140, 'twist_class_label': '4140.2.a.c.1.1', 'twist_class_level': 4140, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2} -
id: 45556125
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797781548, 'source_is_minimal': True, 'source_label': '4140.2.a.g.1.1', 'source_level': 4140, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288299564, 'target_is_minimal': True, 'target_label': '4140.2.a.c.1.1', 'target_level': 4140, 'twist_class_label': '4140.2.a.c.1.1', 'twist_class_level': 4140, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
-
id: 45556124
-
mf_hecke_charpolys • Show schema
-
id: 3509700
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797781548, 'p': 2} -
id: 3509701
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797781548, 'p': 3} -
id: 3509702
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 27021597797781548, 'p': 5} -
id: 3509703
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 27021597797781548, 'p': 7} -
id: 3509704
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 27021597797781548, 'p': 11} -
id: 3509705
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 27021597797781548, 'p': 13} -
id: 3509706
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 27021597797781548, 'p': 17} -
id: 3509707
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 27021597797781548, 'p': 19} -
id: 3509708
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 27021597797781548, 'p': 23} -
id: 3509709
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 27021597797781548, 'p': 29} -
id: 3509710
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 27021597797781548, 'p': 31} -
id: 3509711
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 27021597797781548, 'p': 37} -
id: 3509712
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797781548, 'p': 41} -
id: 3509713
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797781548, 'p': 43} -
id: 3509714
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 27021597797781548, 'p': 47} -
id: 3509715
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 27021597797781548, 'p': 53} -
id: 3509716
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 27021597797781548, 'p': 59} -
id: 3509717
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797781548, 'p': 61} -
id: 3509718
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 27021597797781548, 'p': 67} -
id: 3509719
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 27021597797781548, 'p': 71} -
id: 3509720
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 27021597797781548, 'p': 73} -
id: 3509721
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 27021597797781548, 'p': 79} -
id: 3509722
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 27021597797781548, 'p': 83} -
id: 3509723
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797781548, 'p': 89} -
id: 3509724
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 27021597797781548, 'p': 97}
-
id: 3509700
-
mf_newform_portraits • Show schema
{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '4140.2.a.g', 'level': 4140, 'portrait': 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', 'weight': 2} -
mf_hecke_traces • Show schema
-
id: 45592705
{'hecke_orbit_code': 27021597797781548, 'n': 1, 'trace_an': 1} -
id: 45592706
{'hecke_orbit_code': 27021597797781548, 'n': 2, 'trace_an': 0} -
id: 45592707
{'hecke_orbit_code': 27021597797781548, 'n': 3, 'trace_an': 0} -
id: 45592708
{'hecke_orbit_code': 27021597797781548, 'n': 4, 'trace_an': 0} -
id: 45592709
{'hecke_orbit_code': 27021597797781548, 'n': 5, 'trace_an': 1} -
id: 45592710
{'hecke_orbit_code': 27021597797781548, 'n': 6, 'trace_an': 0} -
id: 45592711
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{'hecke_orbit_code': 27021597797781548, 'n': 709, 'trace_an': 22} -
id: 45592919
{'hecke_orbit_code': 27021597797781548, 'n': 719, 'trace_an': 4} -
id: 45592920
{'hecke_orbit_code': 27021597797781548, 'n': 727, 'trace_an': 38} -
id: 45592921
{'hecke_orbit_code': 27021597797781548, 'n': 729, 'trace_an': 0} -
id: 45592922
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id: 45592923
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id: 45592924
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id: 45592925
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id: 45592926
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id: 45592927
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id: 45592928
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id: 45592929
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id: 45592930
{'hecke_orbit_code': 27021597797781548, 'n': 787, 'trace_an': 26} -
id: 45592931
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id: 45592932
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id: 45592933
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id: 45592934
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id: 45592935
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id: 45592936
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id: 45592937
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id: 45592938
{'hecke_orbit_code': 27021597797781548, 'n': 839, 'trace_an': 24} -
id: 45592939
{'hecke_orbit_code': 27021597797781548, 'n': 841, 'trace_an': -13} -
id: 45592940
{'hecke_orbit_code': 27021597797781548, 'n': 853, 'trace_an': 38} -
id: 45592941
{'hecke_orbit_code': 27021597797781548, 'n': 857, 'trace_an': 24} -
id: 45592942
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id: 45592943
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id: 45592944
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id: 45592945
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id: 45592946
{'hecke_orbit_code': 27021597797781548, 'n': 883, 'trace_an': -4} -
id: 45592947
{'hecke_orbit_code': 27021597797781548, 'n': 887, 'trace_an': 36} -
id: 45592948
{'hecke_orbit_code': 27021597797781548, 'n': 907, 'trace_an': 22} -
id: 45592949
{'hecke_orbit_code': 27021597797781548, 'n': 911, 'trace_an': 0} -
id: 45592950
{'hecke_orbit_code': 27021597797781548, 'n': 919, 'trace_an': -46} -
id: 45592951
{'hecke_orbit_code': 27021597797781548, 'n': 929, 'trace_an': -48} -
id: 45592952
{'hecke_orbit_code': 27021597797781548, 'n': 937, 'trace_an': -30} -
id: 45592953
{'hecke_orbit_code': 27021597797781548, 'n': 941, 'trace_an': 14} -
id: 45592954
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id: 45592955
{'hecke_orbit_code': 27021597797781548, 'n': 953, 'trace_an': 38} -
id: 45592956
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id: 45592957
{'hecke_orbit_code': 27021597797781548, 'n': 967, 'trace_an': -8} -
id: 45592958
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id: 45592959
{'hecke_orbit_code': 27021597797781548, 'n': 977, 'trace_an': 34} -
id: 45592960
{'hecke_orbit_code': 27021597797781548, 'n': 983, 'trace_an': -48} -
id: 45592961
{'hecke_orbit_code': 27021597797781548, 'n': 991, 'trace_an': -32} -
id: 45592962
{'hecke_orbit_code': 27021597797781548, 'n': 997, 'trace_an': -38}
-
id: 45592705
Embedded newform data - 4140.2.a.g.1.1