# Stored data for newform 41.2.a.a, downloaded from the LMFDB on 19 April 2024. {"label": "41.2.a.a", "space_label": "41.2.a", "level": 41, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 33554473, "dim": 3, "is_polredabs": true, "nf_label": "3.3.148.1", "trace_hash": 1843874081841428676, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "qexp_display": "q+(-\\beta _{1}-\\beta _{2})q^{2}+\\beta _{2}q^{3}+(1+2\\beta _{1}+\\cdots)q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 164, "fricke_eigenval": -1, "atkin_lehner_string": "-", "analytic_conductor": 0.32738664828724956, "hecke_ring_index": 1, "level_radical": 41, "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": 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