# Stored data for newform 405.2.e.k, downloaded from the LMFDB on 24 April 2024. {"label": "405.2.e.k", "space_label": "405.2.e", "level": 405, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45036271185166741, "dim": 4, "is_polredabs": true, "nf_label": "4.0.1521.1", "trace_hash": 2093939519506776399, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [9, 3, 4, -1, 1]], [7, [144, -24, 16, 2, 1]], [11, [144, -24, 16, 2, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(-1+\\beta _{1}+\\beta _{2}+\\beta _{3})q^{4}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 9, "char_orbit_label": "e", "char_is_real": false, "Nk2": 1620, "analytic_conductor": 3.2339412818618554, "hecke_ring_index": 1, "level_radical": 15, "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": 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