# Stored data for newform 8112.2.a.by, downloaded from the LMFDB on 29 March 2024. {"label": "8112.2.a.by", "space_label": "8112.2.a", "level": 8112, "weight": 2, "hecke_orbit": 51, "hecke_orbit_code": 225179981402087344, "dim": 3, "is_polredabs": true, "nf_label": "3.3.49.1", "trace_hash": 1473022279131417144, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [-1, 3, 4, 1]], [7, [-29, 31, -10, 1]], [11, [-43, -30, 1, 1]]], "qexp_display": "q-q^{3}+(-1-\\beta _{1})q^{5}+(3+\\beta _{1})q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32448, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 64.77464611966265, "hecke_ring_index": 1, "level_radical": 78, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 14, "field_poly_is_real_cyclotomic": true, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": 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