# Stored data for newform 6038.2.a.a, downloaded from the LMFDB on 20 April 2024.
{"label": "6038.2.a.a", "space_label": "6038.2.a", "level": 6038, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 33560470, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 2098049711861441521, "analytic_rank": 2, "is_twist_minimal": true, "hecke_cutters": [[3, [1, 3, 1]]], "qexp_display": "q+q^{2}+(-1-\\beta )q^{3}+q^{4}+(-3+\\beta )q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24152, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 48.2136727404491, "hecke_ring_index": 1, "level_radical": 6038, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 10, "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": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [6038, 1, [3021], [1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 3019], "conrey_indexes": [1], "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.950", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.420", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "62.462", "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], [3019, 1]], "trace_display": [2, -3, -5, -6], "traces": [0, 2, 2, -3, 2, -5, -3, -6, 2, 1, -5, -7, -3, -6, -6, 5, 2, -6, 1, -6, -5, 9, -7, -6, -3, 5, -6, 0, -6, -14, 5, -1, 2, 8, -6, 15, 1, 3, -6, 9, -5, 0, 9, -14, -7, 5, -6, 3, -3, 4, 5, 19, 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