# Stored data for newform 6400.2.a.cj, downloaded from the LMFDB on 19 April 2024. {"label": "6400.2.a.cj", "space_label": "6400.2.a", "level": 6400, "weight": 2, "hecke_orbit": 62, "hecke_orbit_code": 274719577303161088, "dim": 2, "is_polredabs": true, "nf_label": "2.2.12.1", "trace_hash": 1161057384327265308, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-2, -2, 1]], [7, [-2, -2, 1]], [11, [2, 1]], [13, [-12, 0, 1]], [17, [-12, 0, 1]], [29, [-48, 0, 1]], [31, [-8, -4, 1]]], "qexp_display": "q+(1+\\beta )q^{3}+(1-\\beta )q^{7}+(1+2\\beta )q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 25600, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 51.10425729361945, "hecke_ring_index": 1, "level_radical": 10, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 12, "field_poly_is_real_cyclotomic": true, "hecke_ring_index_proved": true, 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