# Stored data for newform 637.2.k.f, downloaded from the LMFDB on 28 March 2024. {"label": "637.2.k.f", "space_label": "637.2.k", "level": 637, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22518685365174909, "dim": 4, "is_polredabs": true, "nf_label": "4.0.441.1", "trace_hash": 2144880533070758735, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [1, 0, 5, 0, 1]], [3, [25, 5, 6, -1, 1]]], "qexp_display": "q+(\\beta _{1}-\\beta _{3})q^{2}+(-1+2\\beta _{1}+2\\beta _{2}+\\cdots)q^{3}+\\cdots", "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 91, "char_orbit_label": "k", "char_is_real": false, "Nk2": 2548, "analytic_conductor": 5.086470608755561, "hecke_ring_index": 1, "level_radical": 91, "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": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": 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