# Stored data for newform 847.4.a.b, downloaded from the LMFDB on 24 April 2024.
{"label": "847.4.a.b", "space_label": "847.4.a", "level": 847, "weight": 4, "hecke_orbit": 2, "hecke_orbit_code": 4503599694480207, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1483371668026835749, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, 1]]], "qexp_display": "q+q^{2}-2q^{3}-7q^{4}+2^{4}q^{5}-2q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 13552, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 49.9746177748623, "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": 0, "analytic_rank_proved": true, "char_values": [847, 1, [122, 365], [1, 1]], 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