# Stored data for newform 273.2.by.b, downloaded from the LMFDB on 24 April 2024. {"label": "273.2.by.b", "space_label": "273.2.by", "level": 273, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4507035634762001, "dim": 4, "is_polredabs": true, "nf_label": "4.0.144.1", "trace_hash": 1957516773959304584, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [1, -4, 5, -2, 1]], [5, [1, 2, 2, -2, 1]]], "qexp_display": "q+(1-\\zeta_{12}^{2}+\\zeta_{12}^{3})q^{2}+(-\\zeta_{12}+\\zeta_{12}^{3})q^{3}+\\cdots", "char_order": 12, "char_parity": 1, "char_degree": 4, "char_conductor": 91, "char_orbit_label": "by", "char_is_real": false, "Nk2": 1092, "analytic_conductor": 2.1799159751809545, "hecke_ring_index": 1, "level_radical": 273, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 12, "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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