# Stored data for newform 507.2.f.b, downloaded from the LMFDB on 23 April 2024. {"label": "507.2.f.b", "space_label": "507.2.f", "level": 507, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503943258309115, "dim": 4, "is_polredabs": true, "nf_label": "4.0.144.1", "trace_hash": 622586893659648217, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [0, 1]], [5, [0, 1]], [7, [169, -26, 2, 2, 1]]], "qexp_display": "q+(\\zeta_{12}-\\zeta_{12}^{2}+\\zeta_{12}^{3})q^{3}+2\\zeta_{12}^{2}q^{4}+\\cdots", "char_order": 4, "char_parity": 1, "char_degree": 2, "char_conductor": 39, "char_orbit_label": "f", "char_is_real": false, "Nk2": 2028, "analytic_conductor": 4.0484153824789155, "hecke_ring_index": 2, "level_radical": 39, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 12, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 1, "is_self_dual": false, "is_self_twist": true, "is_cm": true, "is_rm": false, "trace_zratio": 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