# Stored data for newform 722.6.a.c, downloaded from the LMFDB on 23 April 2024.
{"label": "722.6.a.c", "space_label": "722.6.a", "level": 722, "weight": 6, "hecke_orbit": 3, "hecke_orbit_code": 9007199355405010, "dim": 2, "is_polredabs": true, "nf_label": "2.2.1441.1", "trace_hash": 2053921729300422811, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-358, 3, 1]]], "qexp_display": "q+4q^{2}+(-1-\\beta )q^{3}+2^{4}q^{4}+(-24+\\cdots)q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 25992, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 115.79711790497201, "hecke_ring_index": 1, "level_radical": 38, "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__": 0, "data": "0.000", "prec": 17}, "analytic_rank_proved": 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