# Stored data for newform 8624.2.a.bx, downloaded from the LMFDB on 10 December 2024.
{"Nk2": 34496, "analytic_conductor": 68.8629867031522, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [7, 1], [11, -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": [8624, 1, [5391, 6469, 7745, 3137], [1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 8, "fricke_eigenval": 1, "has_non_self_twist": 1, "hecke_cutters": [[3, [-8, 0, 1]], [5, [-2, 0, 1]], [13, [-2, 0, 1]], [17, [-50, 0, 1]]], "hecke_orbit": 50, "hecke_orbit_code": 220676381774717360, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 0]], "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": "8624.2.a.bx", "level": 8624, "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, 7, 11], "level_radical": 154, "minimal_twist": "2156.2.a.f", "nf_label": "2.2.8.1", "prim_orbit_index": 1, "qexp_display": "q+2\\beta q^{3}-\\beta q^{5}+5q^{9}+q^{11}+\\beta q^{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": "8624.2.a", "trace_display": [0, 0, 0, 0], "trace_hash": 693250146954738905, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, 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