# Stored data for newform 4033.2.a.a, downloaded from the LMFDB on 19 April 2024.
{"label": "4033.2.a.a", "space_label": "4033.2.a", "level": 4033, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 33558465, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 913862458765296224, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [1, 1]]], "qexp_display": "q-q^{2}-q^{4}+2q^{5}+3q^{8}-3q^{9}-2q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16132, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 32.20366713518238, "hecke_ring_index": 1, "level_radical": 4033, "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": "0.006", "prec": 17}, "analytic_rank_proved": true, "char_values": [4033, 1, [1963, 2295], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [37, 109], "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": "1.007", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.026", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.075", "prec": 17}], "related_objects": ["EllipticCurve/Q/4033/a"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[37, 1], [109, 1]], "trace_display": [-1, 0, 2, 0], "traces": [0, 1, -1, 0, -1, 2, 0, 0, 3, -3, -2, 2, 0, -2, 0, 0, -1, 6, 3, -4, -2, 0, -2, -4, 0, -1, 2, 0, 0, -6, 0, 10, -5, 0, -6, 0, 3, -1, 4, 0, 6, 10, 0, -10, -2, -6, 4, 2, 0, -7, 1, 0, 2, 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