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{'Nk2': 24960, 'analytic_conductor': 49.82665086127896, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, 1], [13, 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': [6240, 1, [1951, 2341, 2081, 2497, 5761], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [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, [-4, 1]], [11, [-4, 1]], [17, [-2, 1]], [19, [4, 1]]], 'hecke_orbit': 24, 'hecke_orbit_code': 103582791463082080, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '6240.2.a.x', 'level': 6240, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '6240.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-q^{5}+4q^{7}+q^{9}+4q^{11}-q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/6240/x'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6240.2.a', 'trace_display': [0, 1, -1, 4], 'trace_hash': 386388929047362836, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.012', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.039', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.073', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.087', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.250', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.026', 'prec': 17}, 'traces': [1, 0, 1, 0, -1, 0, 4, 0, 1, 0, 4, 0, -1, 0, -1, 0, 2, 0, -4, 0, 4, 0, 0, 0, 1, 0, 1, 0, 6, 0, 0, 0, 4, 0, -4, 0, 10, 0, -1, 0, 2, 0, -4, 0, -1, 0, 4, 0, 9, 0, 2, 0, -6, 0, -4, 0, -4, 0, -4, 0, -2, 0, 4, 0, 1, 0, -4, 0, 0, 0, -8, 0, -2, 0, 1, 0, 16, 0, 16, 0, 1, 0, 4, 0, -2, 0, 6, 0, 10, 0, -4, 0, 0, 0, 4, 0, -2, 0, 4, 0, -10, 0, 8, 0, -4, 0, 4, 0, 10, 0, 10, 0, -14, 0, 0, 0, -1, 0, 8, 0, 5, 0, 2, 0, -1, 0, 16, 0, -4, 0, -8, 0, -16, 0, -1, 0, -2, 0, -8, 0, 4, 0, -4, 0, -6, 0, 9, 0, -14, 0, 8, 0, 2, 0, 0, 0, 2, 0, -6, 0, 0, 0, -4, 0, -4, 0, -12, 0, 1, 0, -4, 0, 2, 0, 4, 0, -4, 0, 0, 0, -2, 0, -2, 0, -10, 0, 8, 0, 4, 0, 0, 0, 14, 0, 1, 0, -22, 0, 24, 0, -4, 0, 24, 0, -2, 0, 0, 0, -16, 0, -8, 0, -8, 0, 4, 0, 0, 0, -2, 0, -2, 0, 4, 0, 1, 0, 12, 0, 26, 0, 16, 0, -6, 0, -4, 0, 16, 0, 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mf_newspaces • Show schema
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'char_values': [6240, 1, [1951, 2341, 2081, 2497, 5761], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1313, 'dim': 96, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17, 19], 'hecke_orbit_code': 33560672, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4], 'label': '6240.2.a', 'level': 6240, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 1376, 'mf_new_dim': 96, 'num_forms': 58, 'plus_dim': 40, 'prim_orbit_index': 1, 'relative_dim': 96, 'sturm_bound': 2688, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 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'weight_parity': 1}
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mf_twists_cc • Show schema
Hide schema
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id: 48493198
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582791463082080, 'source_is_minimal': True, 'source_label': '6240.2.a.x.1.1', 'source_level': 6240, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582791463082080, 'target_is_minimal': True, 'target_label': '6240.2.a.x.1.1', 'target_level': 6240, 'twist_class_label': '6240.2.a.a.1.1', 'twist_class_level': 6240, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48493199
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582791463082080, 'source_is_minimal': True, 'source_label': '6240.2.a.x.1.1', 'source_level': 6240, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33560672, 'target_is_minimal': True, 'target_label': '6240.2.a.a.1.1', 'target_level': 6240, 'twist_class_label': '6240.2.a.a.1.1', 'twist_class_level': 6240, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4129925
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 103582791463082080, 'p': 2}
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id: 4129926
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 103582791463082080, 'p': 3}
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id: 4129927
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 103582791463082080, 'p': 5}
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id: 4129928
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 103582791463082080, 'p': 7}
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id: 4129929
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 103582791463082080, 'p': 11}
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id: 4129930
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 103582791463082080, 'p': 13}
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id: 4129931
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 103582791463082080, 'p': 17}
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id: 4129932
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 103582791463082080, 'p': 19}
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id: 4129933
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 103582791463082080, 'p': 23}
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id: 4129934
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 103582791463082080, 'p': 29}
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id: 4129935
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 103582791463082080, 'p': 31}
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id: 4129936
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 103582791463082080, 'p': 37}
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id: 4129937
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 103582791463082080, 'p': 41}
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id: 4129938
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 103582791463082080, 'p': 43}
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id: 4129939
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 103582791463082080, 'p': 47}
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id: 4129940
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 103582791463082080, 'p': 53}
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id: 4129941
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 103582791463082080, 'p': 59}
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id: 4129942
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 103582791463082080, 'p': 61}
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id: 4129943
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 103582791463082080, 'p': 67}
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id: 4129944
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 103582791463082080, 'p': 71}
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id: 4129945
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 103582791463082080, 'p': 73}
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id: 4129946
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 103582791463082080, 'p': 79}
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id: 4129947
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 103582791463082080, 'p': 83}
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id: 4129948
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 103582791463082080, 'p': 89}
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id: 4129949
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 103582791463082080, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 24, 'label': '6240.2.a.x', 'level': 6240, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 255861000
{'hecke_orbit_code': 103582791463082080, 'n': 1, 'trace_an': 1}
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id: 255861001
{'hecke_orbit_code': 103582791463082080, 'n': 2, 'trace_an': 0}
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id: 255861002
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{'hecke_orbit_code': 103582791463082080, 'n': 987, 'trace_an': 16}
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id: 255861987
{'hecke_orbit_code': 103582791463082080, 'n': 988, 'trace_an': 0}
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id: 255861988
{'hecke_orbit_code': 103582791463082080, 'n': 989, 'trace_an': 0}
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id: 255861989
{'hecke_orbit_code': 103582791463082080, 'n': 990, 'trace_an': 0}
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id: 255861990
{'hecke_orbit_code': 103582791463082080, 'n': 991, 'trace_an': -48}
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id: 255861991
{'hecke_orbit_code': 103582791463082080, 'n': 992, 'trace_an': 0}
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id: 255861992
{'hecke_orbit_code': 103582791463082080, 'n': 993, 'trace_an': 4}
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id: 255861993
{'hecke_orbit_code': 103582791463082080, 'n': 994, 'trace_an': 0}
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id: 255861994
{'hecke_orbit_code': 103582791463082080, 'n': 995, 'trace_an': -24}
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id: 255861995
{'hecke_orbit_code': 103582791463082080, 'n': 996, 'trace_an': 0}
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id: 255861996
{'hecke_orbit_code': 103582791463082080, 'n': 997, 'trace_an': 10}
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id: 255861997
{'hecke_orbit_code': 103582791463082080, 'n': 998, 'trace_an': 0}
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id: 255861998
{'hecke_orbit_code': 103582791463082080, 'n': 999, 'trace_an': 10}
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id: 255861999
{'hecke_orbit_code': 103582791463082080, 'n': 1000, 'trace_an': 0}