# Stored data for newform 1638.2.r.o, downloaded from the LMFDB on 19 April 2024. {"label": "1638.2.r.o", "space_label": "1638.2.r", "level": 1638, "weight": 2, "hecke_orbit": 15, "hecke_orbit_code": 63051563047847526, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 344025253607920503, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [3, 1]], [11, [16, -4, 1]], [17, [25, 5, 1]]], "qexp_display": "q+(1-\\zeta_{6})q^{2}-\\zeta_{6}q^{4}-3q^{5}+\\zeta_{6}q^{7}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 13, "char_orbit_label": "r", "char_is_real": false, "Nk2": 6552, "analytic_conductor": 13.079495851085728, "hecke_ring_index": 1, "level_radical": 546, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 6, "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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