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{'Nk2': 24192, 'analytic_conductor': 48.29352314247038, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, -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': [6048, 1, [4159, 3781, 3809, 2593], [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': [[5, [-3, 1]], [11, [1, 1]], [13, [-2, 1]], [17, [-2, 1]]], 'hecke_orbit': 24, 'hecke_orbit_code': 103582791463081888, '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': '6048.2.a.x', 'level': 6048, '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], 'level_radical': 42, 'minimal_twist': '6048.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+3q^{5}+q^{7}-q^{11}+2q^{13}+2q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/6048/x'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6048.2.a', 'trace_display': [0, 0, 3, 1], 'trace_hash': 737147412879792097, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.019', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.975', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 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mf_hecke_cc • Show schema
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'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [11, 13, 13, 11, 13, 11, 11, 13], 'Nk2': 24192, 'analytic_conductor': 48.29352314247038, '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': [6048, 1, [4159, 3781, 3809, 2593], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1105, 'dim': 96, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 17], 'hecke_orbit_code': 33560480, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '6048.2.a', 'level': 6048, '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], 'level_radical': 42, 'mf_dim': 1200, 'mf_new_dim': 96, 'num_forms': 48, 'plus_dim': 44, 'prim_orbit_index': 1, 'relative_dim': 96, 'sturm_bound': 2304, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [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, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 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, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -560, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48492448
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582791463081888, 'source_is_minimal': True, 'source_label': '6048.2.a.x.1.1', 'source_level': 6048, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582791463081888, 'target_is_minimal': True, 'target_label': '6048.2.a.x.1.1', 'target_level': 6048, 'twist_class_label': '6048.2.a.b.1.1', 'twist_class_level': 6048, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48492449
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582791463081888, 'source_is_minimal': True, 'source_label': '6048.2.a.x.1.1', 'source_level': 6048, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288301472, 'target_is_minimal': True, 'target_label': '6048.2.a.c.1.1', 'target_level': 6048, 'twist_class_label': '6048.2.a.b.1.1', 'twist_class_level': 6048, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48492450
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582791463081888, 'source_is_minimal': True, 'source_label': '6048.2.a.x.1.1', 'source_level': 6048, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992580970400, 'target_is_minimal': True, 'target_label': '6048.2.a.u.1.1', 'target_level': 6048, 'twist_class_label': '6048.2.a.b.1.1', 'twist_class_level': 6048, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48492451
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 103582791463081888, 'source_is_minimal': True, 'source_label': '6048.2.a.x.1.1', 'source_level': 6048, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660930976, 'target_is_minimal': True, 'target_label': '6048.2.a.b.1.1', 'target_level': 6048, 'twist_class_label': '6048.2.a.b.1.1', 'twist_class_level': 6048, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4074225
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 103582791463081888, 'p': 2}
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id: 4074226
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 103582791463081888, 'p': 3}
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id: 4074227
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 103582791463081888, 'p': 5}
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id: 4074228
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 103582791463081888, 'p': 7}
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id: 4074229
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 103582791463081888, 'p': 11}
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id: 4074230
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 103582791463081888, 'p': 13}
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id: 4074231
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 103582791463081888, 'p': 17}
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id: 4074232
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 103582791463081888, 'p': 19}
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id: 4074233
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 103582791463081888, 'p': 23}
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id: 4074234
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 103582791463081888, 'p': 29}
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id: 4074235
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 103582791463081888, 'p': 31}
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id: 4074236
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 103582791463081888, 'p': 37}
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id: 4074237
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 103582791463081888, 'p': 41}
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id: 4074238
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 103582791463081888, 'p': 43}
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id: 4074239
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 103582791463081888, 'p': 47}
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id: 4074240
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 103582791463081888, 'p': 53}
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id: 4074241
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 103582791463081888, 'p': 59}
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id: 4074242
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 103582791463081888, 'p': 61}
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id: 4074243
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 103582791463081888, 'p': 67}
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id: 4074244
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 103582791463081888, 'p': 71}
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id: 4074245
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 103582791463081888, 'p': 73}
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id: 4074246
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 103582791463081888, 'p': 79}
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id: 4074247
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 103582791463081888, 'p': 83}
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id: 4074248
{'charpoly_factorization': [[[-15, 1], 1]], 'hecke_orbit_code': 103582791463081888, 'p': 89}
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id: 4074249
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 103582791463081888, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 24, 'label': '6048.2.a.x', 'level': 6048, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 255825000
{'hecke_orbit_code': 103582791463081888, 'n': 1, 'trace_an': 1}
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id: 255825001
{'hecke_orbit_code': 103582791463081888, 'n': 2, 'trace_an': 0}
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