# Stored data for newform 361.2.e.b, downloaded from the LMFDB on 23 April 2024. {"label": "361.2.e.b", "space_label": "361.2.e", "level": 361, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503874538832233, "dim": 6, "is_polredabs": true, "nf_label": "6.0.19683.1", "trace_hash": 1352266449527370456, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [9, 27, 36, 24, 9, 3, 1]], [3, [1, -6, 15, -19, 12, -3, 1]]], "qexp_display": "q+(-1+\\zeta_{18}-\\zeta_{18}^{2}+\\zeta_{18}^{3}-\\zeta_{18}^{4}+\\cdots)q^{2}+\\cdots", "char_order": 9, "char_parity": 1, "char_degree": 6, "char_conductor": 19, "char_orbit_label": "e", "char_is_real": false, "Nk2": 1444, "analytic_conductor": 2.882599512968222, "hecke_ring_index": 1, "level_radical": 19, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 18, "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": 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