# Stored data for newform 1862.2.a.k, downloaded from the LMFDB on 16 May 2024.
{"label": "1862.2.a.k", "space_label": "1862.2.a", "level": 1862, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45035996307261254, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 380911674348721280, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [1, 3, 1]], [5, [-1, 1, 1]]], "qexp_display": "q+q^{2}+(-1-\\beta )q^{3}+q^{4}-\\beta q^{5}+(-1+\\cdots)q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 7448, "fricke_eigenval": 1, "atkin_lehner_string": "--+", "analytic_conductor": 14.868144856362408, "hecke_ring_index": 1, "level_radical": 266, "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": "0.018", "prec": 17}, "analytic_rank_proved": true, "char_values": [1862, 1, [1179, 1275], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 7, 19], "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": "2.006", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.243", "prec": 20}, {"__RealLiteral__": 0, "data": "0.436", "prec": 17}, {"__RealLiteral__": 0, "data": "73.180", "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], [7, -1], [19, 1]], "trace_display": [2, -3, -1, 0], "traces": [0, 2, 2, -3, 2, -1, -3, 0, 2, 1, -1, 1, -3, -4, 0, 4, 2, -6, 1, -2, -1, 0, 1, -2, -3, -7, -4, 0, 0, 3, 4, -10, 2, 1, -6, 0, 1, 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