# Stored data for newform 637.2.f.f, downloaded from the LMFDB on 24 April 2024. {"label": "637.2.f.f", "space_label": "637.2.f", "level": 637, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22518341767791229, "dim": 4, "is_polredabs": true, "nf_label": "4.0.576.2", "trace_hash": 1475720081600098872, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [1, 2, 5, -2, 1]], [3, [4, 0, 2, 0, 1]], [5, [-7, -2, 1]]], "qexp_display": "q+(1+\\beta _{1}+\\beta _{2})q^{2}+\\beta _{1}q^{3}+(2\\beta _{1}+\\beta _{2}+\\cdots)q^{4}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 13, "char_orbit_label": "f", "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, 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