# Stored data for newform 158.2.a.b, downloaded from the LMFDB on 19 April 2024.
{"label": "158.2.a.b", "space_label": "158.2.a", "level": 158, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503599660925086, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 651707265078373676, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-1, 1]], [5, [-3, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}+3q^{5}-q^{6}-q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 632, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 1.2616363519362301, "hecke_ring_index": 1, "level_radical": 158, "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": "0.017", "prec": 17}, "analytic_rank_proved": true, "char_values": [158, 1, [3], [1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 79], "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": "0.989", "prec": 17}, {"__RealLiteral__": 0, "data": "0.032", "prec": 17}, {"__RealLiteral__": 0, "data": "2.011", "prec": 17}, {"__RealLiteral__": 0, "data": "0.094", "prec": 17}, {"__RealLiteral__": 0, "data": "5.118", "prec": 17}], "related_objects": ["EllipticCurve/Q/158/b"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [79, -1]], "trace_display": [-1, 1, 3, -1], "traces": [0, 1, -1, 1, 1, 3, -1, -1, -1, -2, -3, 0, 1, 5, 1, 3, 1, 0, 2, 2, 3, -1, 0, -6, -1, 4, -5, -5, -1, 0, -3, -4, -1, 0, 0, -3, -2, 2, -2, 5, -3, -12, 1, 8, 0, -6, 6, -9, 1, 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null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0], [1], [-1], [1], [1], [3], [-1], [-1], [-1], [-2], [-3], [0], [1], [5], [1], [3], [1], [0], [2], [2], [3], [-1], [0], [-6], [-1], [4], [-5], [-5], [-1], [0], [-3], [-4], [-1], [0], [0], [-3], [-2], [2], [-2], [5], [-3], [-12], [1], [8], [0], [-6], [6], [-9], [1], [-6], [-4], [0], [5], [6], [5], [0], [1], [2], [0], [-9], [3], [8], [4], [2], [1], [15], [0], [-4], [0], [-6], [3], [-9], [2], [2], [-2], [4], [2], [0], [-5], [1], [3], [1], [12], [18], [-1], [0], [-8], [0], [0], [9], [6], [-5], [-6], [-4], [9], [6], [-1], [17], [6], [0], [4]]}