# Stored data for newform 128.4.a.e, downloaded from the LMFDB on 19 April 2024. {"label": "128.4.a.e", "space_label": "128.4.a", "level": 128, "weight": 4, "hecke_orbit": 5, "hecke_orbit_code": 18014398576590976, "dim": 2, "is_polredabs": true, "nf_label": "2.2.12.1", "trace_hash": 968277111680271674, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [-44, 4, 1]], [5, [-188, 4, 1]]], "qexp_display": "q+(-2+\\beta )q^{3}+(-2-2\\beta )q^{5}+(-4+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 2048, "fricke_eigenval": -1, "atkin_lehner_string": "-", "analytic_conductor": 7.552244480734799, "hecke_ring_index": 4, "level_radical": 2, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 12, "field_poly_is_real_cyclotomic": true, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, 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