# Stored data for newform 36.3.d.b, downloaded from the LMFDB on 25 April 2024. {"label": "36.3.d.b", "space_label": "36.3.d", "level": 36, "weight": 3, "hecke_orbit": 2, "hecke_orbit_code": 4503805836132388, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2145203529560003420, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [8, 1]]], "qexp_display": "q+2q^{2}+4q^{4}-8q^{5}+8q^{8}-2^{4}q^{10}+\\cdots", "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 4, "char_orbit_label": "d", "char_is_real": true, "Nk2": 324, "analytic_conductor": 0.9809289516970688, "hecke_ring_index": 1, "level_radical": 6, "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": 1, "is_self_dual": true, "is_self_twist": true, "is_cm": true, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.504", "prec": 17}, "analytic_rank_proved": true, 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