# Stored data for newform 8085.2.a.bk, downloaded from the LMFDB on 25 April 2024.
{"label": "8085.2.a.bk", "space_label": "8085.2.a", "level": 8085, "weight": 2, "hecke_orbit": 37, "hecke_orbit_code": 162129586618900373, "dim": 3, "is_polredabs": true, "nf_label": "3.3.148.1", "trace_hash": 105979328670627379, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, -5, 1, 1]], [13, [8, -12, -2, 1]], [17, [184, -52, -2, 1]]], "qexp_display": "q-\\beta _{1}q^{2}-q^{3}+(1+\\beta _{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": 32340, "fricke_eigenval": 1, "atkin_lehner_string": "++--", "analytic_conductor": 64.55905003420519, "hecke_ring_index": 2, "level_radical": 1155, "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": "0.008", "prec": 17}, "analytic_rank_proved": true, "char_values": [8085, 1, [2696, 4852, 1816, 3676], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 7, 11], "conrey_indexes": [1], "field_disc": 148, "field_disc_factorization": [[2, 2], [37, 1]], "field_poly": [1, -3, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.958", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "22.245", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "242.497", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, 1], [7, -1], [11, -1]], "trace_display": [-1, -3, -3, 0], "traces": [0, 3, -1, -3, 5, -3, 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