# Stored data for newform 1386.2.k.e, downloaded from the LMFDB on 16 April 2024. {"label": "1386.2.k.e", "space_label": "1386.2.k", "level": 1386, "weight": 2, "hecke_orbit": 5, "hecke_orbit_code": 18015085737805162, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 956457576983907457, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [0, 1]], [13, [1, 1]], [17, [36, 6, 1]], [23, [36, 6, 1]]], "qexp_display": "q-\\zeta_{6}q^{2}+(-1+\\zeta_{6})q^{4}+(-2+3\\zeta_{6})q^{7}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 7, "char_orbit_label": "k", "char_is_real": false, "Nk2": 5544, "analytic_conductor": 11.06726572014946, "hecke_ring_index": 1, "level_radical": 462, "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": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": 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