# Stored data for newform 7938.2.a.bg, downloaded from the LMFDB on 08 August 2026. {"Nk2": 31752, "analytic_conductor": 63.38524912449237, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, -1], [7, -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": [7938, 1, [6077, 3727], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 12, "field_disc_factorization": [[2, 2], [3, 1]], "field_poly": [-3, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 12, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[5, [1, 4, 1]], [11, [-26, -2, 1]], [13, [-3, -6, 1]], [17, [7, 1]], [23, [-26, -2, 1]]], "hecke_orbit": 33, "hecke_orbit_code": 144115188109418242, "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": false, "label": "7938.2.a.bg", "level": 7938, "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], "level_radical": 42, "minimal_twist": "1134.2.a.l", "nf_label": "2.2.12.1", "prim_orbit_index": 1, "qexp_display": "q-q^{2}+q^{4}+(-2+\\beta )q^{5}-q^{8}+(2+\\cdots)q^{10}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "7938.2.a", "trace_display": [-2, 0, -4, 0], "trace_hash": 349316755558468723, "trace_moments": [0, {"__RealLiteral__": 0, 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