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{'Nk2': 29760, 'analytic_conductor': 59.4086991038326, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -1], [31, 1]], 'atkin_lehner_string': '---+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7440, 1, [6511, 1861, 4961, 2977, 5521], [1, 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, [-4, 1]], [11, [2, 1]], [13, [-2, 1]], [17, [0, 1]], [19, [0, 1]]], 'hecke_orbit': 28, 'hecke_orbit_code': 121597189972565264, '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': '7440.2.a.bb', 'level': 7440, '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, 31], 'level_radical': 930, 'minimal_twist': '930.2.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+q^{5}+4q^{7}+q^{9}-2q^{11}+2q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/7440/bb'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7440.2.a', 'trace_display': [0, 1, 1, 4], 'trace_hash': 1220359425428533266, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.023', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [1], [0], [4], [0], [1], [0], [-2], [0], [2], [0], [1], [0], [0], [0], [0], [0], [4], [0], [6], [0], [1], [0], [1], [0], [-8], [0], [-1], [0], [-2], [0], [4], [0], [-2], [0], [2], [0], [6], [0], [-4], [0], [1], [0], [12], [0], [9], [0], [0], [0], [-2], [0], [-2], [0], [0], [0], [12], [0], [-8], [0], [4], [0], [2], [0], [4], [0], [6], [0], [8], [0], [4], [0], [1], [0], [-8], [0], [-4], [0], [1], [0], [16], [0], [0], [0], [-8], [0], [-2], [0], [8], [0], [-1], [0], [0], [0], [-2], [0], [-2], [0]], 'ap': [[0], [1], [1], [4], [-2], [2], [0], [0], [6], [-8], [-1], [-2], [6], [-4], [12], [-2], [12], [-8], [4], [8], [4], [-4], [16], [-2], [-2], [-10], [4], [4], [-18], [18], [6], [4], [-12], [-18], [14], [-20], [18], [-12], [18], [18], [-14], [-12], [-8], [22], [2], [12], [20], [2], [4], [4], [-6], [-8], [10], [-2], [-14], [6], [0], [0], [-2], [6], [-20], [14], [4], [-24], [-4], [-22], [-26], [-16], [-16], [2], [4], [0], [-18], [6], [-16], [-6], [-36], [18], [-10], [30], [-12], [18], [16], [-4], [24], [-12], [-34], [8], [24], [42], [36], [8], [-2], [42], [34], [0], [-12], [6], [12], [-42], [-28], [42], [-20], [-26], [34], [42], [0], [14], [-24], [-26], [-8], [6], [-34], [-10], [8], [-30], [44], [-14], [-34], [-44], [30], [8], [50], [20], [28], [26], [-40], [-20], [-24], [-14], [-10], [-26], [32], [-18], [30], [-18], [-42], [16], [30], [2], [-32], [0], [22], [16], [-4], [40], [6], [18], [-22], [18], [18], [-2], [-52], [-36], [-52], [-32], [0], [-42], [-2], [36], [28], [4], [-2], [-24], [-18], [54], [52], [6], [-6], [-34], [18], [4], [-40], [46], [-48], [-50], [-44], [42], [-40], [4], [8], [18], [38], [-60], [-32], [4], [-42], [-60], [-42], [32], [-20], [-20], [18], [8], [-20], [32], [-26], [-30], [-42], [28], [-42], [40], [-50], [10], [-32], [-6], [-32], [-60], [26], [-68], [4], [60], [8], [-52], [-12], [-38], [-68], [58], [2], [14], [32], [-56], [-46], [60], [28], [-32], [-18], [-64], [-62], [-32], [-54], [36], [64], [54], [48], [18], [30], [-54], [34], [72], [4], [-70], [-14], [-64], [-64], [64], [58], [22], [-54], [40], [-34], [-14], [74], [70], [-14], [24], [30], [12], [58], [-34], [-24], [-60], [-4], [14], [0], [-28], [-34], [-66], [76], [-6], [-22], [-24], [28], [4], [22], [64], [-60], [-48], [62], [-22], [-36], [-32], [24], [-26], [-4], [-16], [-44], [-62], [-32], [42], [18], [-60], [12], [40], [-74], [-44], [-48], [-54], [-62], [24], [-14], [-14], [72], [-36], [-10], [62], [-52], [-58], [-52], [-34], [22], [36], [50], [-40], [-4], [-34], [-86], [-68], [46], [2], [-78], [60], [86], [40], [-6], [-78], [40], [68], [82], [78], [-34], [-42], [-64], [12], [-28], [92], [-48], [-6], [86], [-50], [-38], [-12], [56], [-4], [-46], [20], [54], [72], [72], [54], [62], [-56], [10], [-38], [22], [0], [-60], [-90], [56], [0], [-50], [-78], [-18], [-12], [12], [16], [-2], [34], [-82], [52], [16], [36], [62], [96], [-82], [42], [-24], [10], [42], [-20], [56], [-36], [58], [-44], [42], [28], [48], [38], [88], [2], [-6], [42], [-12], [68], [-32], [-22], [-8], [-18], [-22], [12], [60], [-54], [44], [-2], [76], [56], [-98], [-10], [88], [10], [-12], [-26], [-36], [102], [-62], [42], [28], [68], [-58], [8], [-60], [-46], [58], [68], [106], [66], [-60], [82], [-18], [36], [-42], [-92], [-50], [-40], [-58], [18], [-66], [88], [92]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 121597189972565264, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '7440.2.a.bb', 'level': 7440, 'maxp': 3067, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [7, 8, 9, 6, 8, 7, 6, 9, 8, 7, 6, 9, 7, 8, 9, 6], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [82, 90, 92, 85, 87, 90, 88, 83, 91, 82, 84, 91, 89, 86, 84, 89], 'Nk2': 29760, 'analytic_conductor': 59.4086991038326, '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': [7440, 1, [6511, 1861, 4961, 2977, 5521], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1513, 'dim': 120, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 19], 'hecke_orbit_code': 33561872, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5], 'label': '7440.2.a', 'level': 7440, '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, 31], 'level_radical': 930, 'mf_dim': 1560, 'mf_new_dim': 120, 'num_forms': 58, 'plus_dim': 52, 'prim_orbit_index': 1, 'relative_dim': 120, 'sturm_bound': 3072, 'trace_bound': 17, 'trace_display': [0, 0, 0, -8], 'traces': [120, 0, 0, 0, 0, 0, -8, 0, 120, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 120, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -16, 0, -16, 0, 0, 0, 0, 0, 104, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, -16, 0, 8, 0, 0, 0, 32, 0, 0, 0, 0, 0, 32, 0, -16, 0, 120, 0, 48, 0, 0, 0, -24, 0, -16, 0, -48, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -40, 0, 0, 0, -96, 0, 32, 0, 0, 0, 64, 0, 0, 0, 0, 0, -80, 0, 168, 0, -48, 0, 0, 0, -16, 0, 0, 0, 48, 0, -32, 0, 0, 0, 64, 0, -80, 0, -32, 0, 0, 0, 0, 0, 0, 0, 32, 0, -64, 0, 0, 0, 0, 0, -32, 0, 0, 0, 64, 0, 8, 0, 0, 0, 16, 0, 136, 0, 0, 0, 0, 0, -8, 0, 0, 0, 32, 0, -32, 0, -32, 0, 16, 0, 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'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1349099
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '7440.2.a.bb', 'source_level': 7440, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '930.2.a.c', 'target_level': 930, 'twist_class_label': '930.2.a.c', 'twist_class_level': 930, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1349100
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '7440.2.a.bb', 'source_level': 7440, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2790.2.a.o', 'target_level': 2790, 'twist_class_label': '930.2.a.c', 'twist_class_level': 930, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1349101
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '7440.2.a.bb', 'source_level': 7440, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 49, 'target_is_minimal': False, 'target_label': '4650.2.a.bw', 'target_level': 4650, 'twist_class_label': '930.2.a.c', 'twist_class_level': 930, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1349102
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '7440.2.a.bb', 'source_level': 7440, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '4650.2.d.v', 'target_level': 4650, 'twist_class_label': '930.2.a.c', 'twist_class_level': 930, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1349103
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '7440.2.a.bb', 'source_level': 7440, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '7440.2.a.bb', 'target_level': 7440, 'twist_class_label': '930.2.a.c', 'twist_class_level': 930, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4474400
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 121597189972565264, 'p': 2}
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id: 4474401
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 121597189972565264, 'p': 3}
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id: 4474402
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 121597189972565264, 'p': 5}
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id: 4474403
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 121597189972565264, 'p': 7}
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id: 4474404
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 121597189972565264, 'p': 11}
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id: 4474405
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 121597189972565264, 'p': 13}
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id: 4474406
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 121597189972565264, 'p': 17}
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id: 4474407
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 121597189972565264, 'p': 19}
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id: 4474408
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 121597189972565264, 'p': 23}
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id: 4474409
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 121597189972565264, 'p': 29}
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id: 4474410
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 121597189972565264, 'p': 31}
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id: 4474411
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 121597189972565264, 'p': 37}
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id: 4474412
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 121597189972565264, 'p': 41}
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id: 4474413
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 121597189972565264, 'p': 43}
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id: 4474414
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 121597189972565264, 'p': 47}
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id: 4474415
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 121597189972565264, 'p': 53}
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id: 4474416
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 121597189972565264, 'p': 59}
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id: 4474417
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 121597189972565264, 'p': 61}
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id: 4474418
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 121597189972565264, 'p': 67}
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id: 4474419
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 121597189972565264, 'p': 71}
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id: 4474420
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 121597189972565264, 'p': 73}
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id: 4474421
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 121597189972565264, 'p': 79}
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id: 4474422
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 121597189972565264, 'p': 83}
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id: 4474423
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 121597189972565264, 'p': 89}
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id: 4474424
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 121597189972565264, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 28, 'label': '7440.2.a.bb', 'level': 7440, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 67686019
{'hecke_orbit_code': 121597189972565264, 'n': 1, 'trace_an': 1}
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