# Stored data for newform 414.2.e.e, downloaded from the LMFDB on 18 April 2024. {"label": "414.2.e.e", "space_label": "414.2.e", "level": 414, "weight": 2, "hecke_orbit": 5, "hecke_orbit_code": 18014673420943774, "dim": 12, "is_polredabs": true, "trace_hash": 805808256748817398, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [144, 468, 1365, 1299, 1432, -525, 844, -235, 182, -56, 27, -5, 1]]], "qexp_display": "q+\\beta _{2}q^{2}-\\beta _{1}q^{3}+(-1+\\beta _{2})q^{4}+(1+\\cdots)q^{5}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 9, "char_orbit_label": "e", "char_is_real": false, "Nk2": 1656, "analytic_conductor": 3.305806643681008, "hecke_ring_index": 1, "level_radical": 138, "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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