# Stored data for newform 475.2.e.d, downloaded from the LMFDB on 19 April 2024. {"label": "475.2.e.d", "space_label": "475.2.e", "level": 475, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13511073793573339, "dim": 6, "is_polredabs": true, "nf_label": "6.0.3518667.1", "trace_hash": 1801891969775996857, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [49, -42, 43, -8, 7, -1, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(-\\beta _{1}-\\beta _{3}+\\beta _{5})q^{3}+(-3+\\cdots)q^{4}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 19, "char_orbit_label": "e", "char_is_real": false, "Nk2": 1900, "analytic_conductor": 3.7928940960108184, "hecke_ring_index": 1, "level_radical": 95, "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": 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