# Stored data for newform 224.3.s.b, downloaded from the LMFDB on 16 April 2024. {"label": "224.3.s.b", "space_label": "224.3.s", "level": 224, "weight": 3, "hecke_orbit": 2, "hecke_orbit_code": 4504836628283616, "dim": 16, "is_polredabs": true, "trace_hash": 2254507907918175070, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [5764801, 0, -9546376, 0, 13700498, 0, -3222016, 0, 545827, 0, -41216, 0, 2258, 0, -56, 0, 1]]], "qexp_display": "q-\\beta _{2}q^{3}-\\beta _{5}q^{5}+(\\beta _{2}+\\beta _{12})q^{7}+(-5\\beta _{7}+\\cdots)q^{9}+\\cdots", "char_order": 6, "char_parity": -1, "char_degree": 2, "char_conductor": 7, "char_orbit_label": "s", "char_is_real": false, "Nk2": 2016, "analytic_conductor": 6.10355792167065, "hecke_ring_index": 7340032, "level_radical": 14, "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": 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