# Stored data for newform 4650.2.a.z, downloaded from the LMFDB on 25 April 2024.
{"label": "4650.2.a.z", "space_label": "4650.2.a", "level": 4650, "weight": 2, "hecke_orbit": 26, "hecke_orbit_code": 112589990717821482, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 948194670430698471, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[7, [2, 1]], [11, [0, 1]], [13, [-2, 1]], [19, [4, 1]]], "qexp_display": "q+q^{2}-q^{3}+q^{4}-q^{6}-2q^{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": 18600, "fricke_eigenval": 1, "atkin_lehner_string": "-+-+", "analytic_conductor": 37.130436939895375, "hecke_ring_index": 1, "level_radical": 930, "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": "0.018", "prec": 17}, "analytic_rank_proved": true, "char_values": [4650, 1, [3101, 2977, 1801], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 31], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.029", "prec": 17}, {"__RealLiteral__": 0, "data": "0.010", "prec": 17}, {"__RealLiteral__": 0, "data": "2.046", "prec": 17}, {"__RealLiteral__": 0, "data": "0.112", "prec": 17}, {"__RealLiteral__": 0, "data": "5.090", "prec": 17}], "related_objects": ["EllipticCurve/Q/4650/z"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [5, -1], [31, 1]], "trace_display": [1, -1, 0, -2], "traces": [0, 1, 1, -1, 1, 0, -1, -2, 1, 1, 0, 0, -1, 2, -2, 0, 1, 0, 1, -4, 0, 2, 0, 2, -1, 0, 2, -1, -2, 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