# Stored data for newform 45.4.a.a, downloaded from the LMFDB on 25 April 2024. {"label": "45.4.a.a", "space_label": "45.4.a", "level": 45, "weight": 4, "hecke_orbit": 1, "hecke_orbit_code": 67108909, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2231002571180033, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [5, 1]]], "qexp_display": "q-5q^{2}+17q^{4}+5q^{5}-30q^{7}-45q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 720, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 2.6550859502583277, "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": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": 0, "analytic_rank_proved": true, 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