# Stored data for newform 720.4.f.j, downloaded from the LMFDB on 20 April 2024. {"label": "720.4.f.j", "space_label": "720.4.f", "level": 720, "weight": 4, "hecke_orbit": 10, "hecke_orbit_code": 40532740310827728, "dim": 4, "is_polredabs": true, "nf_label": "4.0.26896.1", "trace_hash": 256888592639602883, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [129600, 0, 756, 0, 1]], [11, [72, 42, 1]]], "qexp_display": "q+(-1-\\beta _{2}-\\beta _{3})q^{5}+(2\\beta _{1}-\\beta _{2})q^{7}+\\cdots", "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 5, "char_orbit_label": "f", "char_is_real": true, "Nk2": 11520, "analytic_conductor": 42.48137520413324, "hecke_ring_index": 72, "level_radical": 30, "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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