# Stored data for newform 175.2.a.f, downloaded from the LMFDB on 28 March 2024. {"label": "175.2.a.f", "space_label": "175.2.a", "level": 175, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22517998170407087, "dim": 2, "is_polredabs": true, "nf_label": "2.2.17.1", "trace_hash": 234956623950946823, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-4, -1, 1]]], "qexp_display": "q+\\beta q^{2}+(1-\\beta )q^{3}+(2+\\beta )q^{4}-4q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 700, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 1.3973820353724067, "hecke_ring_index": 1, "level_radical": 35, "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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