# Stored data for newform 507.2.e.i, downloaded from the LMFDB on 29 March 2024. {"label": "507.2.e.i", "space_label": "507.2.e", "level": 507, "weight": 2, "hecke_orbit": 9, "hecke_orbit_code": 36029071930425851, "dim": 6, "is_polredabs": true, "nf_label": "6.0.64827.1", "trace_hash": 1889636441860831035, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [169, 52, 55, 14, 13, 3, 1]], [5, [13, 5, -6, 1]]], "qexp_display": "q+(-2+2\\beta _{1}+\\beta _{4}+2\\beta _{5})q^{2}+(1-\\beta _{5})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, 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