# Stored data for newform 15.12.a.c, downloaded from the LMFDB on 24 April 2024. {"label": "15.12.a.c", "space_label": "15.12.a", "level": 15, "weight": 12, "hecke_orbit": 3, "hecke_orbit_code": 9007199456067599, "dim": 2, "is_polredabs": true, "nf_label": "2.2.1801.1", "trace_hash": 2196403915757376899, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-408, 13, 1]]], "qexp_display": "q+(-6-\\beta )q^{2}-3^{5}q^{3}+(-1562+13\\beta )q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 2160, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 11.525147708393833, "hecke_ring_index": 1, "level_radical": 15, "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, 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