# Stored data for newform 637.2.r.e, downloaded from the LMFDB on 24 April 2024. {"label": "637.2.r.e", "space_label": "637.2.r", "level": 637, "weight": 2, "hecke_orbit": 5, "hecke_orbit_code": 18015566774141565, "dim": 12, "is_polredabs": true, "nf_label": "12.0.89539436150784.1", "trace_hash": 1617541139282795980, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [16, 0, -48, 0, 112, 0, -88, 0, 52, 0, -8, 0, 1]], [3, [4, 8, 16, 4, 4, 0, 1]]], "qexp_display": "q+(\\beta _{3}+\\beta _{4}+\\beta _{6}+\\beta _{7})q^{2}-\\beta _{11}q^{3}+\\cdots", "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 91, "char_orbit_label": "r", "char_is_real": false, "Nk2": 2548, "analytic_conductor": 5.086470608755561, "hecke_ring_index": 4, "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, 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