# Stored data for newform 3.19.b.b, downloaded from the LMFDB on 23 April 2024.
{"label": "3.19.b.b", "space_label": "3.19.b", "level": 3, "weight": 19, "hecke_orbit": 2, "hecke_orbit_code": 4503668665614339, "dim": 4, "is_polredabs": true, "nf_label": "4.0.601940665.1", "trace_hash": 1405100651747327114, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [157480796160, 0, 1051056, 0, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+(63^{2}+11\\beta _{1}+\\beta _{2})q^{3}+(-263384+\\cdots)q^{4}+\\cdots", "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 3, "char_orbit_label": "b", "char_is_real": true, "Nk2": 1083, "analytic_conductor": 6.161584131292909, "hecke_ring_index": 362797056, "level_radical": 3, "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": "0.508", "prec": 17}, "analytic_rank_proved": 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