# Stored data for newform 7728.2.a.bu, downloaded from the LMFDB on 25 April 2024. {"label": "7728.2.a.bu", "space_label": "7728.2.a", "level": 7728, "weight": 2, "hecke_orbit": 47, "hecke_orbit_code": 207165582892604976, "dim": 3, "is_polredabs": true, "nf_label": "3.3.621.1", "trace_hash": 2005505606119775454, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-46, -15, 3, 1]], [11, [84, -15, -6, 1]], [13, [-164, -9, 9, 1]], [17, [4, -9, 0, 1]]], "qexp_display": "q+q^{3}+(-1-\\beta _{1}+\\beta _{2})q^{5}-q^{7}+q^{9}+\\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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