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{'Nk2': 33880, 'analytic_conductor': 67.63329051202449, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 1], [7, -1], [11, 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': [8470, 1, [6777, 6051, 7141], [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': [[3, [0, 1]], [13, [4, 1]], [17, [-4, 1]], [19, [-4, 1]]], 'hecke_orbit': 24, 'hecke_orbit_code': 103582791463084310, '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': '8470.2.a.x', 'level': 8470, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7, 11], 'level_radical': 770, 'minimal_twist': '8470.2.a.i', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-3q^{9}+\\cdots', 'related_objects': ['EllipticCurve/Q/8470/x'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8470.2.a', 'trace_display': [1, 0, -1, 1], 'trace_hash': 1619634636536247161, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.054', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [5, -1], [7, -1], [11, -1]], 10, 6], [[[2, 1], [5, -1], [7, 1], [11, 1]], 13, 3], [[[2, -1], [5, 1], [7, 1], [11, 1]], 17, 4], [[[2, -1], [5, -1], [7, 1], [11, 1]], 12, 3], [[[2, 1], [5, -1], [7, -1], [11, -1]], 15, 6], [[[2, 1], [5, 1], [7, -1], [11, -1]], 15, 6], [[[2, -1], [5, 1], [7, 1], [11, -1]], 10, 7], [[[2, -1], [5, -1], [7, 1], [11, -1]], 15, 7], [[[2, -1], [5, -1], [7, -1], [11, 1]], 17, 4], [[[2, 1], [5, -1], [7, 1], [11, -1]], 15, 7], [[[2, 1], [5, 1], [7, 1], [11, -1]], 15, 7], [[[2, 1], [5, 1], [7, 1], [11, 1]], 12, 6], [[[2, -1], [5, 1], [7, -1], [11, -1]], 15, 7], [[[2, -1], [5, 1], [7, -1], [11, 1]], 12, 5], [[[2, 1], [5, 1], [7, -1], [11, 1]], 13, 5], [[[2, 1], [5, -1], [7, -1], [11, 1]], 12, 3]], 'ALdims': [12, 15, 13, 15, 13, 15, 12, 15, 17, 10, 12, 15, 12, 15, 17, 10], 'Nk2': 33880, 'analytic_conductor': 67.63329051202449, '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': [8470, 1, [6777, 6051, 7141], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1537, 'dim': 218, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 13, 17, 19], 'hecke_orbit_code': 33562902, '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, 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, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8], 'label': '8470.2.a', 'level': 8470, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7, 11], 'level_radical': 770, 'mf_dim': 1632, 'mf_new_dim': 218, 'num_forms': 86, 'plus_dim': 98, 'prim_orbit_index': 1, 'relative_dim': 218, 'sturm_bound': 3168, 'trace_bound': 13, 'trace_display': [-2, -4, 0, 0], 'traces': [218, -2, -4, 218, 0, -4, 0, -2, 210, 0, 0, -4, -8, 0, -4, 218, -4, -10, -4, 0, 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mf_twists_cc • Show schema
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id: 48503813
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582791463084310, 'source_is_minimal': True, 'source_label': '8470.2.a.x.1.1', 'source_level': 8470, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582791463084310, 'target_is_minimal': True, 'target_label': '8470.2.a.x.1.1', 'target_level': 8470, 'twist_class_label': '8470.2.a.i.1.1', 'twist_class_level': 8470, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48503814
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582791463084310, 'source_is_minimal': True, 'source_label': '8470.2.a.x.1.1', 'source_level': 8470, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052526870, 'target_is_minimal': True, 'target_label': '8470.2.a.i.1.1', 'target_level': 8470, 'twist_class_label': '8470.2.a.i.1.1', 'twist_class_level': 8470, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4763825
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 103582791463084310, 'p': 2}
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id: 4763826
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 103582791463084310, 'p': 3}
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id: 4763827
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 103582791463084310, 'p': 5}
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id: 4763828
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 103582791463084310, 'p': 7}
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id: 4763829
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 103582791463084310, 'p': 11}
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id: 4763830
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 103582791463084310, 'p': 13}
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id: 4763831
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 103582791463084310, 'p': 17}
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id: 4763832
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 103582791463084310, 'p': 19}
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id: 4763833
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 103582791463084310, 'p': 23}
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id: 4763834
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 103582791463084310, 'p': 29}
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id: 4763835
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 103582791463084310, 'p': 31}
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id: 4763836
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 103582791463084310, 'p': 37}
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id: 4763837
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 103582791463084310, 'p': 41}
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id: 4763838
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 103582791463084310, 'p': 43}
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id: 4763839
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 103582791463084310, 'p': 47}
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id: 4763840
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 103582791463084310, 'p': 53}
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id: 4763841
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 103582791463084310, 'p': 59}
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id: 4763842
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 103582791463084310, 'p': 61}
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id: 4763843
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 103582791463084310, 'p': 67}
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id: 4763844
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 103582791463084310, 'p': 71}
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id: 4763845
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 103582791463084310, 'p': 73}
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id: 4763846
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 103582791463084310, 'p': 79}
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id: 4763847
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 103582791463084310, 'p': 83}
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id: 4763848
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 103582791463084310, 'p': 89}
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id: 4763849
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 103582791463084310, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 24, 'label': '8470.2.a.x', 'level': 8470, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 256329000
{'hecke_orbit_code': 103582791463084310, 'n': 1, 'trace_an': 1}
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id: 256329001
{'hecke_orbit_code': 103582791463084310, 'n': 2, 'trace_an': 1}
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id: 256329002
{'hecke_orbit_code': 103582791463084310, 'n': 3, 'trace_an': 0}
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id: 256329994
{'hecke_orbit_code': 103582791463084310, 'n': 995, 'trace_an': 10}
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id: 256329995
{'hecke_orbit_code': 103582791463084310, 'n': 996, 'trace_an': 0}
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id: 256329996
{'hecke_orbit_code': 103582791463084310, 'n': 997, 'trace_an': 48}
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id: 256329997
{'hecke_orbit_code': 103582791463084310, 'n': 998, 'trace_an': -4}
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id: 256329998
{'hecke_orbit_code': 103582791463084310, 'n': 999, 'trace_an': 0}
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id: 256329999
{'hecke_orbit_code': 103582791463084310, 'n': 1000, 'trace_an': -1}