# Stored data for newform 1216.4.a.r, downloaded from the LMFDB on 29 March 2024. {"label": "1216.4.a.r", "space_label": "1216.4.a", "level": 1216, "weight": 4, "hecke_orbit": 18, "hecke_orbit_code": 76561193732408512, "dim": 3, "is_polredabs": true, "nf_label": "3.3.7057.1", "trace_hash": 1564555278305784573, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-62, -43, 4, 1]], [5, [-608, -244, 7, 1]]], "qexp_display": "q+(-1-\\beta _{2})q^{3}+(-2-2\\beta _{1}-\\beta _{2})q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 19456, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 71.74632256698058, "hecke_ring_index": 2, "level_radical": 38, "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": true, "is_self_twist": false, "is_cm": 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