# Stored data for newform 12.19.d.a, downloaded from the LMFDB on 23 April 2024.
{"label": "12.19.d.a", "space_label": "12.19.d", "level": 12, "weight": 19, "hecke_orbit": 1, "hecke_orbit_code": 206477197324, "dim": 18, "is_polredabs": false, "trace_hash": 875045354980707519, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "qexp_display": "q+(-9-\\beta _{1})q^{2}+(-\\beta _{1}+\\beta _{2})q^{3}+(-24281+\\cdots)q^{4}+\\cdots", "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 4, "char_orbit_label": "d", "char_is_real": true, "Nk2": 4332, "analytic_conductor": 24.646336525171638, "hecke_ring_index": 10918932170656188140319303593327738720198427073883557069485083928304249995264, "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": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.504", "prec": 17}, "analytic_rank_proved": 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