# Stored data for newform 637.2.a.i, downloaded from the LMFDB on 25 April 2024. {"label": "637.2.a.i", "space_label": "637.2.a", "level": 637, "weight": 2, "hecke_orbit": 9, "hecke_orbit_code": 36028797052519037, "dim": 3, "is_polredabs": true, "nf_label": "3.3.404.1", "trace_hash": 1166253600687065898, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-6, -4, 2, 1]], [3, [14, -2, -4, 1]], [17, [14, -2, -4, 1]]], "qexp_display": "q+(-1+\\beta _{1})q^{2}+(1+\\beta _{2})q^{3}+(2-\\beta _{1}+\\cdots)q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 2548, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "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": true, 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