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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_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, [0, 1]], [11, [-4, 1]], [13, [-6, 1]], [17, [-2, 1]], [19, [-4, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72057594071489808, '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': False, 'label': '7440.2.a.q', 'level': 7440, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'minimal_twist': '930.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-q^{5}+q^{9}+4q^{11}+6q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/7440/q'], '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, 0], 'trace_hash': 260192791600479823, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.032', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', '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], [0], [0], [1], [0], [4], [0], [6], [0], [-1], [0], [2], [0], [4], [0], [0], [0], [4], [0], [1], [0], [1], [0], [2], [0], [1], [0], [4], [0], [0], [0], [-2], [0], [6], [0], [-6], [0], [4], [0], [-1], [0], [0], [0], [-7], [0], [2], [0], [2], [0], [-4], [0], [4], [0], [4], [0], [-6], [0], [0], [0], [-6], [0], [-16], [0], [4], [0], [12], [0], [-6], [0], [1], [0], [0], [0], [16], [0], [1], [0], [12], [0], [-2], [0], [2], [0], [-18], [0], [0], [0], [1], [0], [-4], [0], [-14], [0], [4], [0]], 'ap': [[0], [1], [-1], [0], [4], [6], [2], [4], [4], [2], [1], [-2], [-6], [4], [0], [2], [4], [-6], [-16], [12], [-6], [16], [12], [-18], [-14], [2], [-8], [-4], [6], [-10], [8], [4], [18], [-8], [10], [-16], [18], [24], [-12], [-14], [4], [-6], [-4], [-22], [2], [-16], [4], [8], [-20], [10], [22], [0], [-14], [-20], [22], [12], [18], [8], [6], [10], [0], [-6], [16], [28], [26], [2], [-24], [2], [4], [-2], [-6], [20], [-16], [-38], [20], [-4], [-6], [-14], [14], [-6], [12], [14], [12], [2], [32], [4], [-18], [-22], [-14], [24], [4], [-36], [40], [-20], [-16], [-32], [18], [-14], [-20], [-10], [-16], [-30], [12], [6], [-40], [-30], [-4], [14], [4], [10], [0], [-26], [46], [-32], [-8], [30], [20], [12], [18], [-36], [-34], [34], [42], [36], [-28], [-38], [-46], [24], [-16], [2], [16], [-12], [24], [-18], [22], [-14], [50], [-28], [18], [-10], [-12], [-22], [-40], [-52], [50], [-28], [58], [54], [-48], [-36], [-38], [-42], [-52], [24], [56], [48], [32], [-42], [10], [18], [44], [-30], [8], [12], [22], [4], [16], [26], [18], [-6], [52], [-14], [36], [-46], [-8], [-26], [4], [-54], [8], [2], [-16], [-36], [2], [-30], [-16], [10], [10], [24], [58], [-4], [2], [20], [32], [-30], [-44], [26], [50], [-6], [-66], [0], [50], [-16], [-14], [66], [68], [10], [56], [12], [-6], [-28], [2], [10], [-40], [36], [-24], [42], [-16], [-70], [36], [34], [-46], [0], [-6], [-40], [-12], [-62], [54], [32], [-16], [12], [-58], [4], [-32], [-66], [-4], [-52], [-30], [42], [-28], [-56], [36], [-40], [32], [10], [-14], [60], [-8], [-12], [-56], [24], [26], [-30], [20], [42], [2], [4], [-2], [28], [42], [50], [56], [-4], [-6], [-46], [-62], [-60], [34], [-14], [24], [26], [-58], [-76], [26], [24], [74], [8], [-84], [74], [42], [-12], [80], [-80], [72], [-58], [-32], [-24], [-30], [42], [24], [-26], [-78], [-12], [-62], [-44], [-34], [-30], [40], [-6], [-44], [84], [50], [34], [-72], [12], [-40], [-62], [76], [-82], [80], [2], [-20], [-70], [-30], [-44], [-24], [34], [-12], [-72], [-54], [78], [40], [58], [-6], [16], [54], [34], [4], [-64], [36], [26], [-50], [-30], [-56], [-60], [-4], [44], [-70], [-34], [-6], [-40], [-26], [66], [-70], [-40], [50], [12], [-58], [12], [-16], [90], [24], [-22], [-54], [32], [-50], [-6], [80], [-84], [66], [88], [66], [-18], [-28], [-84], [-48], [-54], [-30], [-8], [-6], [100], [-12], [32], [66], [0], [-18], [-92], [-100], [-46], [-54], [58], [-30], [2], [16], [-6], [40], [32], [40], [86], [76], [-92], [-22], [-6], [4], [80], [12], [-86], [-40], [-78], [48], [10], [-62], [-10], [32], [-42], [-86], [56], [-62], [70], [-92], [-28], [34], [-22], [36], [80], [82], [-54], [104], [24], [-34], [8], [-30], [14], [60], [4], [2], [-86], [84], [30], [64], [-64], [-22], [-60], [72], [-32], [22], [-2], [-46], [34], [20]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 72057594071489808, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '7440.2.a.q', 'level': 7440, 'maxp': 3067, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [31, -1]], 6, 3], [[[2, -1], [3, 1], [5, 1], [31, -1]], 7, 4], [[[2, 1], [3, 1], [5, -1], [31, -1]], 6, 4], [[[2, -1], [3, 1], [5, 1], [31, 1]], 8, 4], [[[2, 1], [3, 1], [5, 1], [31, 1]], 7, 3], [[[2, -1], [3, 1], [5, -1], [31, 1]], 6, 4], [[[2, -1], [3, 1], [5, -1], [31, -1]], 9, 6], [[[2, 1], [3, 1], [5, -1], [31, 1]], 9, 3], [[[2, -1], [3, -1], [5, 1], [31, 1]], 7, 4], [[[2, -1], [3, -1], [5, -1], [31, 1]], 9, 5], [[[2, 1], [3, -1], [5, -1], [31, -1]], 9, 3], [[[2, 1], [3, 1], [5, 1], [31, -1]], 8, 2], [[[2, 1], [3, -1], [5, 1], [31, -1]], 7, 4], [[[2, 1], [3, -1], [5, -1], [31, 1]], 6, 2], [[[2, 1], [3, -1], [5, 1], [31, 1]], 8, 2], [[[2, -1], [3, -1], [5, 1], [31, -1]], 8, 5]], '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_indexes': [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_prime': False, 'level_is_prime_power': 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, 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mf_twists_nf • Show schema
Hide schema
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id: 1349052
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '7440.2.a.q', 'source_level': 7440, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '930.2.a.b', 'target_level': 930, 'twist_class_label': '930.2.a.b', 'twist_class_level': 930, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1349053
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '7440.2.a.q', 'source_level': 7440, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '2790.2.a.ba', 'target_level': 2790, 'twist_class_label': '930.2.a.b', 'twist_class_level': 930, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1349054
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '7440.2.a.q', 'source_level': 7440, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '4650.2.a.bp', 'target_level': 4650, 'twist_class_label': '930.2.a.b', 'twist_class_level': 930, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1349055
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '7440.2.a.q', 'source_level': 7440, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '4650.2.d.o', 'target_level': 4650, 'twist_class_label': '930.2.a.b', 'twist_class_level': 930, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1349056
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '7440.2.a.q', 'source_level': 7440, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '7440.2.a.q', 'target_level': 7440, 'twist_class_label': '930.2.a.b', 'twist_class_level': 930, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4474075
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071489808, 'p': 2}
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id: 4474076
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 72057594071489808, 'p': 3}
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id: 4474077
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 72057594071489808, 'p': 5}
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id: 4474078
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071489808, 'p': 7}
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id: 4474079
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 72057594071489808, 'p': 11}
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id: 4474080
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 72057594071489808, 'p': 13}
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id: 4474081
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 72057594071489808, 'p': 17}
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id: 4474082
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 72057594071489808, 'p': 19}
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id: 4474083
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 72057594071489808, 'p': 23}
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id: 4474084
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 72057594071489808, 'p': 29}
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id: 4474085
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 72057594071489808, 'p': 31}
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id: 4474086
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 72057594071489808, 'p': 37}
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id: 4474087
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 72057594071489808, 'p': 41}
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id: 4474088
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 72057594071489808, 'p': 43}
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id: 4474089
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071489808, 'p': 47}
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id: 4474090
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 72057594071489808, 'p': 53}
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id: 4474091
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 72057594071489808, 'p': 59}
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id: 4474092
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 72057594071489808, 'p': 61}
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id: 4474093
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 72057594071489808, 'p': 67}
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id: 4474094
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 72057594071489808, 'p': 71}
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id: 4474095
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 72057594071489808, 'p': 73}
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id: 4474096
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 72057594071489808, 'p': 79}
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id: 4474097
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 72057594071489808, 'p': 83}
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id: 4474098
{'charpoly_factorization': [[[18, 1], 1]], 'hecke_orbit_code': 72057594071489808, 'p': 89}
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id: 4474099
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 72057594071489808, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 17, 'label': '7440.2.a.q', '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: 239147000
{'hecke_orbit_code': 72057594071489808, 'n': 1, 'trace_an': 1}
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id: 239147001
{'hecke_orbit_code': 72057594071489808, 'n': 2, 'trace_an': 0}
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id: 239147002
{'hecke_orbit_code': 72057594071489808, 'n': 3, 'trace_an': 1}
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id: 239147003
{'hecke_orbit_code': 72057594071489808, 'n': 4, 'trace_an': 0}
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id: 239147004
{'hecke_orbit_code': 72057594071489808, 'n': 5, 'trace_an': -1}
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id: 239147005
{'hecke_orbit_code': 72057594071489808, 'n': 6, 'trace_an': 0}
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