# Stored data for newform 546.2.s.e, downloaded from the LMFDB on 25 April 2024. {"label": "546.2.s.e", "space_label": "546.2.s", "level": 546, "weight": 2, "hecke_orbit": 5, "hecke_orbit_code": 18015635493618210, "dim": 8, "is_polredabs": true, "nf_label": "8.0.195105024.2", "trace_hash": 198661945355879584, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [64, 0, 608, 0, 276, 0, 32, 0, 1]], [11, [1024, -2304, 2016, -648, -31, 54, 3, -6, 1]]], "qexp_display": "q+\\beta _{2}q^{2}+(1+\\beta _{4})q^{3}-\\beta _{4}q^{4}+(-\\beta _{1}+\\cdots)q^{5}+\\cdots", "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 13, "char_orbit_label": "s", "char_is_real": false, "Nk2": 2184, "analytic_conductor": 4.359831950361909, "hecke_ring_index": 1, "level_radical": 546, "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, 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