# Stored data for newform 8379.2.a.bq, downloaded from the LMFDB on 07 November 2025.
{"Nk2": 33516, "analytic_conductor": 66.90665185363083, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[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": [8379, 1, [6518, 7696, 2206], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 404, "field_disc_factorization": [[2, 2], [101, 1]], "field_poly": [-1, -5, -1, 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": [[2, [-9, -7, 1, 1]], [5, [-4, -8, 0, 1]], [11, [-48, -16, 4, 1]], [13, [8, -20, 2, 1]], [17, [-28, 40, -12, 1]]], "hecke_orbit": 43, "hecke_orbit_code": 189151184383123643, "hecke_ring_generator_nbound": 2, "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": "8379.2.a.bq", "level": 8379, "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": [3, 7, 19], "level_radical": 399, "minimal_twist": "399.2.a.e", "nf_label": "3.3.404.1", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{2}q^{2}+(3+\\beta _{1}-\\beta _{2})q^{4}+(-\\beta _{1}+\\cdots)q^{5}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "8379.2.a", "trace_display": [-1, 0, 0, 0], "trace_hash": 2159240102732773431, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", 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