# Stored data for newform 504.2.r.a, downloaded from the LMFDB on 25 April 2024. {"label": "504.2.r.a", "space_label": "504.2.r", "level": 504, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 1168264659448, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1981521538110815663, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [1, -1, 1]]], "qexp_display": "q+(-1+2\\zeta_{6})q^{3}+(1-\\zeta_{6})q^{5}-\\zeta_{6}q^{7}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 9, "char_orbit_label": "r", "char_is_real": false, "Nk2": 2016, "analytic_conductor": 4.024460261872531, "hecke_ring_index": 1, "level_radical": 42, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 6, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.018", "prec": 17}, 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