# Stored data for newform 546.2.i.j, downloaded from the LMFDB on 19 April 2024. {"label": "546.2.i.j", "space_label": "546.2.i", "level": 546, "weight": 2, "hecke_orbit": 10, "hecke_orbit_code": 40532946435703330, "dim": 4, "is_polredabs": true, "nf_label": "4.0.7056.3", "trace_hash": 329745628481511115, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [36, 12, 10, -2, 1]], [17, [81, -72, 55, -8, 1]]], "qexp_display": "q+(1+\\beta _{2})q^{2}+\\beta _{2}q^{3}+\\beta _{2}q^{4}+(1+\\beta _{1}+\\cdots)q^{5}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 7, "char_orbit_label": "i", "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, "is_self_twist": false, "is_cm": false, "is_rm": false, 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