# Stored data for newform 3850.2.a.bd, downloaded from the LMFDB on 23 April 2024.
{"label": "3850.2.a.bd", "space_label": "3850.2.a", "level": 3850, "weight": 2, "hecke_orbit": 30, "hecke_orbit_code": 130604389227302666, "dim": 2, "is_polredabs": true, "nf_label": "2.2.12.1", "trace_hash": 1971175143839879351, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-2, 2, 1]], [13, [-8, 4, 1]], [17, [-12, 0, 1]], [19, [22, -10, 1]]], "qexp_display": "q-q^{2}+(-1+\\beta )q^{3}+q^{4}+(1-\\beta )q^{6}+\\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": 1, "level_radical": 770, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 12, "field_poly_is_real_cyclotomic": true, "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": "0.023", "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": 12, "field_disc_factorization": [[2, 2], [3, 1]], "field_poly": [-3, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.006", "prec": 17}, {"__RealLiteral__": 0, "data": "1.959", "prec": 17}, {"__RealLiteral__": 0, "data": "0.150", "prec": 17}, {"__RealLiteral__": 0, "data": "9.586", "prec": 17}, {"__RealLiteral__": 0, "data": "1.032", "prec": 17}, {"__RealLiteral__": 0, "data": "65.819", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, 1], [7, 1], [11, -1]], "trace_display": [-2, -2, 0, -2], "traces": [0, 2, -2, -2, 2, 0, 2, -2, -2, 2, 0, 2, -2, -4, 2, 0, 2, 0, -2, 10, 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