# Stored data for newform 384.5.h.e, downloaded from the LMFDB on 24 April 2024. {"label": "384.5.h.e", "space_label": "384.5.h", "level": 384, "weight": 5, "hecke_orbit": 5, "hecke_orbit_code": 18014879629705600, "dim": 4, "is_polredabs": true, "nf_label": "4.0.6400.1", "trace_hash": 958226610697589793, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-1440, 0, 1]], [11, [-134, 1]]], "qexp_display": "q+(-3-\\beta _{1})q^{3}+\\beta _{2}q^{5}+\\beta _{2}q^{7}+(-63+\\cdots)q^{9}+\\cdots", "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 24, "char_orbit_label": "h", "char_is_real": true, "Nk2": 9600, "analytic_conductor": 39.69406582419622, "hecke_ring_index": 20736, "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": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": 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