# Stored data for newform 847.2.f.m, downloaded from the LMFDB on 19 April 2024. {"label": "847.2.f.m", "space_label": "847.2.f", "level": 847, "weight": 2, "hecke_orbit": 13, "hecke_orbit_code": 54043539159384911, "dim": 4, "is_polredabs": true, "nf_label": "4.0.125.1", "trace_hash": 135599452144723729, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [25, -25, 15, -5, 1]], [3, [16, 16, 16, 6, 1]], [13, [16, -16, 16, -6, 1]]], "qexp_display": "q+(1+\\zeta_{10}-\\zeta_{10}^{2}-\\zeta_{10}^{3})q^{2}+(-2\\zeta_{10}+\\cdots)q^{3}+\\cdots", "char_order": 5, "char_parity": 1, "char_degree": 4, "char_conductor": 11, "char_orbit_label": "f", "char_is_real": false, "Nk2": 3388, "analytic_conductor": 6.763329051202448, "hecke_ring_index": 1, "level_radical": 77, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 10, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": 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