# Stored data for newform 4864.2.a.bk, downloaded from the LMFDB on 28 March 2024. {"label": "4864.2.a.bk", "space_label": "4864.2.a", "level": 4864, "weight": 2, "hecke_orbit": 37, "hecke_orbit_code": 162129586618897152, "dim": 4, "is_polredabs": true, "nf_label": "4.4.51984.1", "trace_hash": 105114110110964250, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [0, 1]], [5, [16, 0, -11, 0, 1]], [7, [4, 0, -23, 0, 1]], [11, [-12, -3, 1]]], "qexp_display": "q+\\beta _{1}q^{5}+\\beta _{2}q^{7}-3q^{9}+(2+\\beta _{3})q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 19456, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 38.83923554315078, "hecke_ring_index": 2, "level_radical": 38, "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, 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