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{'Nk2': 6348, 'analytic_conductor': 12.672258800777197, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -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': [1587, 1, [530, 1063], [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': [[2, [-1, 1]], [5, [0, 1]], [7, [-2, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543038003, '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': False, 'label': '1587.2.a.e', 'level': 1587, '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': [3, 23], 'level_radical': 69, 'minimal_twist': '69.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}-q^{4}+q^{6}+2q^{7}-3q^{8}+\\cdots', 'related_objects': ['EllipticCurve/Q/1587/e'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1587.2.a', 'trace_display': [1, 1, 0, 2], 'trace_hash': 1498216600514628217, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.982', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 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mf_newspaces • Show schema
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{'ALdims': [20, 22, 28, 15], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [11, 12, 12, 12], 'ALdims_old': [17, 22, 16, 21], 'Nk2': 6348, 'analytic_conductor': 12.672258800777197, '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': [1587, 1, [530, 1063], [1, 1]], 'conrey_index': 1, 'cusp_dim': 161, 'dim': 85, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 7], 'hecke_orbit_code': 33556019, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 6, 10, 10, 12], 'label': '1587.2.a', 'level': 1587, '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': [3, 23], 'level_radical': 69, 'mf_dim': 208, 'mf_new_dim': 85, 'num_forms': 22, 'plus_dim': 35, 'prim_orbit_index': 1, 'relative_dim': 85, 'sturm_bound': 368, 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mf_twists_cc • Show schema
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id: 43893557
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543038003, 'source_is_minimal': False, 'source_label': '1587.2.a.e.1.1', 'source_level': 1587, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543038003, 'target_is_minimal': False, 'target_label': '1587.2.a.e.1.1', 'target_level': 1587, 'twist_class_label': '69.2.a.a.1.1', 'twist_class_level': 69, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43893558
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543038003, 'source_is_minimal': False, 'source_label': '1587.2.a.e.1.1', 'source_level': 1587, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660929689, 'target_is_minimal': False, 'target_label': '4761.2.a.b.1.1', 'target_level': 4761, 'twist_class_label': '69.2.a.a.1.1', 'twist_class_level': 69, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43893559
{'conductor': 23, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543038003, 'source_is_minimal': False, 'source_label': '1587.2.a.e.1.1', 'source_level': 1587, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33554501, 'target_is_minimal': True, 'target_label': '69.2.a.a.1.1', 'target_level': 69, 'twist_class_label': '69.2.a.a.1.1', 'twist_class_level': 69, 'twisting_char_label': '23.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 43893560
{'conductor': 69, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543038003, 'source_is_minimal': False, 'source_label': '1587.2.a.e.1.1', 'source_level': 1587, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33554639, 'target_is_minimal': False, 'target_label': '207.2.a.a.1.1', 'target_level': 207, 'twist_class_label': '69.2.a.a.1.1', 'twist_class_level': 69, 'twisting_char_label': '69.68', 'twisting_conrey_index': 68, 'weight': 2}
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id: 43893561
{'conductor': 92, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543038003, 'source_is_minimal': False, 'source_label': '1587.2.a.e.1.1', 'source_level': 1587, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288296528, 'target_is_minimal': False, 'target_label': '1104.2.a.c.1.1', 'target_level': 1104, 'twist_class_label': '69.2.a.a.1.1', 'twist_class_level': 69, 'twisting_char_label': '92.91', 'twisting_conrey_index': 91, 'weight': 2}
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id: 43893562
{'conductor': 115, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543038003, 'source_is_minimal': False, 'source_label': '1587.2.a.e.1.1', 'source_level': 1587, 'target_conrey_index': 1174, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021666517255869, 'target_is_minimal': False, 'target_label': '1725.2.b.g.1174.2', 'target_level': 1725, 'twist_class_label': '69.2.a.a.1.1', 'twist_class_level': 69, 'twisting_char_label': '115.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 43893563
{'conductor': 115, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543038003, 'source_is_minimal': False, 'source_label': '1587.2.a.e.1.1', 'source_level': 1587, 'target_conrey_index': 1174, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021666517255869, 'target_is_minimal': False, 'target_label': '1725.2.b.g.1174.1', 'target_level': 1725, 'twist_class_label': '69.2.a.a.1.1', 'twist_class_level': 69, 'twisting_char_label': '115.68', 'twisting_conrey_index': 68, 'weight': 2}
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id: 43893564
{'conductor': 115, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543038003, 'source_is_minimal': False, 'source_label': '1587.2.a.e.1.1', 'source_level': 1587, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543038141, 'target_is_minimal': False, 'target_label': '1725.2.a.e.1.1', 'target_level': 1725, 'twist_class_label': '69.2.a.a.1.1', 'twist_class_level': 69, 'twisting_char_label': '115.114', 'twisting_conrey_index': 114, 'weight': 2}
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id: 43893565
{'conductor': 161, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543038003, 'source_is_minimal': False, 'source_label': '1587.2.a.e.1.1', 'source_level': 1587, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307262773, 'target_is_minimal': False, 'target_label': '3381.2.a.k.1.1', 'target_level': 3381, 'twist_class_label': '69.2.a.a.1.1', 'twist_class_level': 69, 'twisting_char_label': '161.160', 'twisting_conrey_index': 160, 'weight': 2}
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id: 43893566
{'conductor': 184, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543038003, 'source_is_minimal': False, 'source_label': '1587.2.a.e.1.1', 'source_level': 1587, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170411328, 'target_is_minimal': False, 'target_label': '4416.2.a.f.1.1', 'target_level': 4416, 'twist_class_label': '69.2.a.a.1.1', 'twist_class_level': 69, 'twisting_char_label': '184.45', 'twisting_conrey_index': 45, 'weight': 2}
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id: 43893567
{'conductor': 184, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543038003, 'source_is_minimal': False, 'source_label': '1587.2.a.e.1.1', 'source_level': 1587, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582791463080256, 'target_is_minimal': False, 'target_label': '4416.2.a.x.1.1', 'target_level': 4416, 'twist_class_label': '69.2.a.a.1.1', 'twist_class_level': 69, 'twisting_char_label': '184.91', 'twisting_conrey_index': 91, 'weight': 2}
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id: 43893568
{'conductor': 253, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543038003, 'source_is_minimal': False, 'source_label': '1587.2.a.e.1.1', 'source_level': 1587, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33562781, 'target_is_minimal': False, 'target_label': '8349.2.a.a.1.1', 'target_level': 8349, 'twist_class_label': '69.2.a.a.1.1', 'twist_class_level': 69, 'twisting_char_label': '253.252', 'twisting_conrey_index': 252, 'weight': 2}
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id: 43893569
{'conductor': 276, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543038003, 'source_is_minimal': False, 'source_label': '1587.2.a.e.1.1', 'source_level': 1587, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307262704, 'target_is_minimal': False, 'target_label': '3312.2.a.k.1.1', 'target_level': 3312, 'twist_class_label': '69.2.a.a.1.1', 'twist_class_level': 69, 'twisting_char_label': '276.275', 'twisting_conrey_index': 275, 'weight': 2}
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id: 43893570
{'conductor': 345, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543038003, 'source_is_minimal': False, 'source_label': '1587.2.a.e.1.1', 'source_level': 1587, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575592208340023, 'target_is_minimal': False, 'target_label': '5175.2.a.v.1.1', 'target_level': 5175, 'twist_class_label': '69.2.a.a.1.1', 'twist_class_level': 69, 'twisting_char_label': '345.344', 'twisting_conrey_index': 344, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2058700
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 18014398543038003, 'p': 2}
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id: 2058701
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 18014398543038003, 'p': 3}
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id: 2058702
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543038003, 'p': 5}
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id: 2058703
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 18014398543038003, 'p': 7}
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id: 2058704
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 18014398543038003, 'p': 11}
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id: 2058705
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 18014398543038003, 'p': 13}
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id: 2058706
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 18014398543038003, 'p': 17}
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id: 2058707
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 18014398543038003, 'p': 19}
-
id: 2058708
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543038003, 'p': 23}
-
id: 2058709
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 18014398543038003, 'p': 29}
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id: 2058710
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 18014398543038003, 'p': 31}
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id: 2058711
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 18014398543038003, 'p': 37}
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id: 2058712
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 18014398543038003, 'p': 41}
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id: 2058713
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 18014398543038003, 'p': 43}
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id: 2058714
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543038003, 'p': 47}
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id: 2058715
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 18014398543038003, 'p': 53}
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id: 2058716
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 18014398543038003, 'p': 59}
-
id: 2058717
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 18014398543038003, 'p': 61}
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id: 2058718
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 18014398543038003, 'p': 67}
-
id: 2058719
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 18014398543038003, 'p': 71}
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id: 2058720
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 18014398543038003, 'p': 73}
-
id: 2058721
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 18014398543038003, 'p': 79}
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id: 2058722
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 18014398543038003, 'p': 83}
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id: 2058723
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 18014398543038003, 'p': 89}
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id: 2058724
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 18014398543038003, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '1587.2.a.e', 'level': 1587, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 38123347
{'hecke_orbit_code': 18014398543038003, 'n': 1, 'trace_an': 1}
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id: 38123348
{'hecke_orbit_code': 18014398543038003, 'n': 2, 'trace_an': 1}
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id: 38123349
{'hecke_orbit_code': 18014398543038003, 'n': 3, 'trace_an': 1}
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id: 38123350
{'hecke_orbit_code': 18014398543038003, 'n': 4, 'trace_an': -1}
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id: 38123351
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