# Stored data for newform 8450.2.a.x, downloaded from the LMFDB on 06 May 2024.
{"label": "8450.2.a.x", "space_label": "8450.2.a", "level": 8450, "weight": 2, "hecke_orbit": 24, "hecke_orbit_code": 103582791463084290, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 319997938784231946, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-2, 1]], [7, [-5, 1]], [11, [-3, 1]], [17, [3, 1]], [31, [5, 1]]], "qexp_display": "q+q^{2}+2q^{3}+q^{4}+2q^{6}+5q^{7}+q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 33800, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 67.47358970798193, "hecke_ring_index": 1, "level_radical": 130, "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": "0.022", "prec": 17}, "analytic_rank_proved": true, "char_values": [8450, 1, [677, 3551], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 5, 13], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.027", "prec": 17}, {"__RealLiteral__": 0, "data": "0.979", "prec": 17}, {"__RealLiteral__": 0, "data": "0.101", "prec": 17}, {"__RealLiteral__": 0, "data": "1.955", "prec": 17}, {"__RealLiteral__": 0, "data": "0.330", "prec": 17}, {"__RealLiteral__": 0, "data": "4.883", "prec": 17}], "related_objects": ["EllipticCurve/Q/8450/x"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, 1], [13, 1]], "trace_display": [1, 2, 0, 5], "traces": [0, 1, 1, 2, 1, 0, 2, 5, 1, 1, 0, 3, 2, 0, 5, 0, 1, -3, 1, 4, 0, 10, 3, -6, 2, 0, 0, -4, 5, 9, 0, -5, 1, 6, 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