# Stored data for newform 7728.2.a.bw, downloaded from the LMFDB on 28 March 2024. {"label": "7728.2.a.bw", "space_label": "7728.2.a", "level": 7728, "weight": 2, "hecke_orbit": 49, "hecke_orbit_code": 216172782147345968, "dim": 3, "is_polredabs": true, "nf_label": "3.3.229.1", "trace_hash": 2230825497023775275, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [2, -5, 1, 1]], [11, [4, -11, 2, 1]], [13, [2, -1, -3, 1]], [17, [-2, 9, 8, 1]]], "qexp_display": "q+q^{3}+\\beta _{2}q^{5}+q^{7}+q^{9}+(-1-\\beta _{1}+\\cdots)q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 30912, "fricke_eigenval": 1, "atkin_lehner_string": "+--+", "analytic_conductor": 61.70839068204548, "hecke_ring_index": 1, "level_radical": 966, "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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