# Stored data for newform 315.2.a.f, downloaded from the LMFDB on 29 March 2024. {"label": "315.2.a.f", "space_label": "315.2.a", "level": 315, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22517998170407227, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 500591445257262775, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-1, -2, 1]]], "qexp_display": "q+(1+\\beta )q^{2}+(1+2\\beta )q^{4}+q^{5}-q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 1260, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 2.5152876636703323, "hecke_ring_index": 1, "level_radical": 105, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 8, "field_poly_is_real_cyclotomic": true, "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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