# Stored data for newform 165.6.a.e, downloaded from the LMFDB on 23 April 2024. {"label": "165.6.a.e", "space_label": "165.6.a", "level": 165, "weight": 6, "hecke_orbit": 5, "hecke_orbit_code": 18014398610145445, "dim": 3, "is_polredabs": true, "nf_label": "3.3.307532.1", "trace_hash": 615271758444741856, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [308, -60, -7, 1]]], "qexp_display": "q+(2+\\beta _{1})q^{2}-9q^{3}+(24+2\\beta _{1}+\\beta _{2})q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 5940, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 26.463330269141803, "hecke_ring_index": 2, "level_radical": 165, "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": true, "is_self_twist": false, "is_cm": false, "is_rm": 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