# Stored data for newform 507.2.e.h, downloaded from the LMFDB on 19 April 2024. {"label": "507.2.e.h", "space_label": "507.2.e", "level": 507, "weight": 2, "hecke_orbit": 8, "hecke_orbit_code": 31525472303055355, "dim": 4, "is_polredabs": true, "nf_label": "4.0.576.2", "trace_hash": 39705686570401758, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 2, 5, -2, 1]], [5, [-8, 0, 1]]], "qexp_display": "q+(1+\\beta _{1}+\\beta _{2})q^{2}+(-1-\\beta _{2})q^{3}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 13, "char_orbit_label": "e", "char_is_real": false, "Nk2": 2028, "analytic_conductor": 4.0484153824789155, "hecke_ring_index": 1, "level_radical": 39, "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, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, 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