# Stored data for newform 507.2.j.f, downloaded from the LMFDB on 25 April 2024. {"label": "507.2.j.f", "space_label": "507.2.j", "level": 507, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22518616645698043, "dim": 8, "is_polredabs": true, "nf_label": "8.0.5308416.1", "trace_hash": 1953955302496746980, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 0, -6, 0, 35, 0, -6, 0, 1]], [5, [8, 0, 1]]], "qexp_display": "q+\\zeta_{24}^{3}q^{2}-\\zeta_{24}q^{3}+(1-\\zeta_{24}-\\zeta_{24}^{4}+\\cdots)q^{4}+\\cdots", "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 13, "char_orbit_label": "j", "char_is_real": false, "Nk2": 2028, "analytic_conductor": 4.0484153824789155, "hecke_ring_index": 64, "level_radical": 39, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 24, "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": 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