# Stored data for newform 4235.2.a.bl, downloaded from the LMFDB on 19 April 2024.
{"label": "4235.2.a.bl", "space_label": "4235.2.a", "level": 4235, "weight": 2, "hecke_orbit": 38, "hecke_orbit_code": 166633186246267019, "dim": 10, "is_polredabs": true, "trace_hash": 619441499792386558, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-11, -38, 38, 140, -96, -106, 63, 26, -14, -2, 1]], [3, [1, -14, -3, 120, 45, -166, 13, 50, -10, -4, 1]], [13, [14641, 31944, 2904, -26840, -5473, 7894, -206, -896, 246, -26, 1]]], "qexp_display": "q+\\beta _{1}q^{2}-\\beta _{5}q^{3}+(1+\\beta _{2})q^{4}-q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16940, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 33.816645256012244, "hecke_ring_index": 1, "level_radical": 385, "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": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.006", "prec": 17}, "analytic_rank_proved": true, "char_values": [4235, 1, [2542, 1816, 2906], [1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [5, 7, 11], "conrey_indexes": [1], "field_disc": 10323789036751872, "field_disc_factorization": [[2, 10], [3, 5], [11, 1], [3771726611, 1]], "field_poly": [-11, -38, 38, 140, -96, -106, 63, 26, -14, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.172", "prec": 17}, {"__RealLiteral__": 0, "data": "9.360", "prec": 17}, {"__RealLiteral__": 0, "data": "3.147", "prec": 17}, {"__RealLiteral__": 0, "data": "248.504", "prec": 24}, {"__RealLiteral__": 0, "data": "65.734", "prec": 20}, {"__RealLiteral__": 0, "data": "10532.093", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 10, "sato_tate_group": 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