# Stored data for newform 9576.2.a.bh, downloaded from the LMFDB on 11 October 2024. {"Nk2": 38304, "analytic_conductor": 76.4647449755781, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, 1], [7, -1], [19, -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": [9576, 1, [7183, 4789, 5321, 4105, 1009], [1, 1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 28, "field_disc_factorization": [[2, 2], [7, 1]], "field_poly": [-7, 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, [-6, 2, 1]], [11, [2, 1]], [13, [4, 1]], [17, [2, -6, 1]]], "hecke_orbit": 34, "hecke_orbit_code": 148618787736790376, "hecke_ring_generator_nbound": 5, "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": true, "label": "9576.2.a.bh", "level": 9576, "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, 19], "level_radical": 798, "minimal_twist": "9576.2.a.bh", "nf_label": "2.2.28.1", "prim_orbit_index": 1, "qexp_display": "q+(-1+\\beta )q^{5}+q^{7}-2q^{11}-4q^{13}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "9576.2.a", "trace_display": [0, 0, -2, 2], "trace_hash": 5603908249624657, "trace_moments": 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