# Stored data for newform 38.10.c.b, downloaded from the LMFDB on 24 April 2024. {"label": "38.10.c.b", "space_label": "38.10.c", "level": 38, "weight": 10, "hecke_orbit": 2, "hecke_orbit_code": 4503737234096166, "dim": 16, "is_polredabs": true, "trace_hash": 1179996792642055093, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [1346305564805981463645642889700625, 6951534970110945299388706381650, 813254838521654367718538262786, -997922206164569813856262800, 348594807835816839324607176, -113841564092666622658062, 55850656432124980388052, 8439829122596611338, 6575991702018991065, 3749972139745026, 270278184819892, 3529975322, 7876434392, 45968, 107714, -70, 1]]], "qexp_display": "q+(-2^{4}+2^{4}\\beta _{2})q^{2}+(9-\\beta _{1}-9\\beta _{2}+\\cdots)q^{3}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 19, "char_orbit_label": "c", "char_is_real": false, "Nk2": 3800, "analytic_conductor": 19.571361774227178, "hecke_ring_index": 359313408, 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