# Stored data for newform 576.4.k.a, downloaded from the LMFDB on 24 April 2024. {"label": "576.4.k.a", "space_label": "576.4.k", "level": 576, "weight": 4, "hecke_orbit": 1, "hecke_orbit_code": 687261876800, "dim": 10, "is_polredabs": true, "trace_hash": 263707590603606054, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [202085408, -350050848, 303177744, -16403712, 121104, 238960, 70152, 1216, 2, -2, 1]]], "qexp_display": "q-\\beta _{3}q^{5}+(3\\beta _{1}-\\beta _{4})q^{7}+(1-\\beta _{1}+\\beta _{2}+\\cdots)q^{11}+\\cdots", "char_order": 4, "char_parity": 1, "char_degree": 2, "char_conductor": 16, "char_orbit_label": "k", "char_is_real": false, "Nk2": 9216, "analytic_conductor": 33.98510016330659, "hecke_ring_index": 1048576, "level_radical": 6, "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": 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