# Stored data for newform 3850.2.a.bu, downloaded from the LMFDB on 28 March 2024. {"label": "3850.2.a.bu", "space_label": "3850.2.a", "level": 3850, "weight": 2, "hecke_orbit": 47, "hecke_orbit_code": 207165582892601098, "dim": 3, "is_polredabs": true, "nf_label": "3.3.892.1", "trace_hash": 2207896759746175234, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [4, -10, 0, 1]], [13, [32, -40, 0, 1]], [17, [128, -12, -8, 1]], [19, [-56, -30, 2, 1]]], "qexp_display": "q+q^{2}-\\beta _{1}q^{3}+q^{4}-\\beta _{1}q^{6}+q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 15400, "fricke_eigenval": -1, "atkin_lehner_string": "-+--", "analytic_conductor": 30.74240477819295, "hecke_ring_index": 2, "level_radical": 770, "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": "0.012", "prec": 17}, "analytic_rank_proved": true, "char_values": [3850, 1, [2927, 2201, 1751], [1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 7, 11], "conrey_indexes": [1], "field_disc": 892, "field_disc_factorization": [[2, 2], [223, 1]], "field_poly": [10, -8, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.006", "prec": 17}, {"__RealLiteral__": 0, "data": "2.878", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "21.850", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "240.180", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, 1], 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