# Stored data for newform 847.2.a.a, downloaded from the LMFDB on 25 April 2024. {"label": "847.2.a.a", "space_label": "847.2.a", "level": 847, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 33555279, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1199446253023546385, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 1]], [3, [-2, 1]]], "qexp_display": "q-q^{2}+2q^{3}-q^{4}-2q^{5}-2q^{6}+q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 3388, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 6.763329051202448, "hecke_ring_index": 1, "level_radical": 77, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 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