# Stored data for newform 38.10.a.a, downloaded from the LMFDB on 19 April 2024. {"label": "38.10.a.a", "space_label": "38.10.a", "level": 38, "weight": 10, "hecke_orbit": 1, "hecke_orbit_code": 167772198, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1243381251966009384, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [119, 1]]], "qexp_display": "q+2^{4}q^{2}-119q^{3}+2^{8}q^{4}-684q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 3800, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 19.571361774227178, "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": 0, "analytic_rank_proved": 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