# Stored data for newform 141.2.a.b, downloaded from the LMFDB on 19 April 2024.
{"label": "141.2.a.b", "space_label": "141.2.a", "level": 141, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503599660925069, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 92070978218473354, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [1, 1]], [5, [0, 1]]], "qexp_display": "q-q^{2}-q^{3}-q^{4}+q^{6}+4q^{7}+3q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 564, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 1.1258906685000534, "hecke_ring_index": 1, "level_radical": 141, "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": "0.022", "prec": 17}, "analytic_rank_proved": true, "char_values": [141, 1, [95, 52], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 47], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.013", "prec": 17}, {"__RealLiteral__": 0, "data": "0.969", "prec": 17}, {"__RealLiteral__": 0, "data": "0.087", "prec": 17}, {"__RealLiteral__": 0, "data": "1.910", "prec": 17}, {"__RealLiteral__": 0, "data": "0.298", "prec": 17}, {"__RealLiteral__": 0, "data": "4.734", "prec": 17}], "related_objects": ["EllipticCurve/Q/141/b"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [47, -1]], "trace_display": [-1, -1, 0, 4], "traces": [0, 1, -1, -1, -1, 0, 1, 4, 3, 1, 0, 0, 1, 6, -4, 0, -1, -6, -1, 2, 0, -4, 0, 4, -3, -5, -6, -1, -4, 8, 0, 6, -5, 0, 6, 0, -1, -6, -2, -6, 0, -8, 4, -6, 0, 0, -4, 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"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], [0], [1], [4], [3], [1], [0], [0], [1], [6], [-4], [0], [-1], [-6], [-1], [2], [0], [-4], [0], [4], [-3], [-5], [-6], [-1], [-4], [8], [0], [6], [-5], [0], [6], [0], [-1], [-6], [-2], [-6], [0], [-8], [4], [-6], [0], [0], [-4], [1], [1], [9], [5], [6], [-6], [2], [1], [0], [12], [-2], [-8], [12], [0], [2], [-6], [4], [7], [0], [0], [-2], [6], [-4], [0], [0], [3], [-10], [6], [5], [-2], [0], [6], [-4], [0], [1], [8], [4], [4], [0], [6], [-8], [0], [-10], [0], [24], [-4], [-6], [-1], [0], [5], [-18], [-9], [0], [5]]}