# Stored data for newform 684.3.y.d, downloaded from the LMFDB on 23 April 2024. {"label": "684.3.y.d", "space_label": "684.3.y", "level": 684, "weight": 3, "hecke_orbit": 4, "hecke_orbit_code": 13512448199885484, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 2257889109551162039, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [0, 1]], [7, [-13, 1]]], "qexp_display": "q+13q^{7}+(14-7\\zeta_{6})q^{13}+(-5-2^{4}\\zeta_{6})q^{19}+\\cdots", "char_order": 6, "char_parity": -1, "char_degree": 2, "char_conductor": 19, "char_orbit_label": "y", "char_is_real": false, "Nk2": 6156, "analytic_conductor": 18.637650082244306, "hecke_ring_index": 1, "level_radical": 114, "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": 1, "is_self_dual": false, "is_self_twist": true, "is_cm": true, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.592", 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