# Stored data for newform 258.2.a.f, downloaded from the LMFDB on 23 April 2024.
{"label": "258.2.a.f", "space_label": "258.2.a", "level": 258, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22517998170407170, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 300724365588704024, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [1, 1]], [7, [-1, 1]]], "qexp_display": "q+q^{2}+q^{3}+q^{4}-q^{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": 1032, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 2.060140372149034, "hecke_ring_index": 1, "level_radical": 258, "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": "0.010", "prec": 17}, "analytic_rank_proved": true, "char_values": [258, 1, [173, 175], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 43], "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": "0.986", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.979", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.960", "prec": 17}], "related_objects": ["EllipticCurve/Q/258/f"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [43, -1]], "trace_display": [1, 1, -1, 1], "traces": [0, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 5, 1, -7, 1, -1, 1, 4, 1, -1, -1, 1, 5, -4, 1, -4, -7, 1, 1, -5, -1, -10, 1, 5, 4, -1, 1, 10, -1, -7, -1, 0, 1, 1, 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true, "conrey_index": 1, "id": 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], [-1], [1], [1], [1], [1], [-1], [5], [1], [-7], [1], [-1], [1], [4], [1], [-1], [-1], [1], [5], [-4], [1], [-4], [-7], [1], [1], [-5], [-1], [-10], [1], [5], [4], [-1], [1], [10], [-1], [-7], [-1], [0], [1], [1], [5], [-1], [-4], [-1], [1], [-6], [-4], [4], [-7], [12], [1], [-5], [1], [-1], [-5], [4], [-1], [-8], [-10], [1], [1], [7], [5], [-2], [4], [-4], [-1], [-12], [1], [4], [10], [-4], [-1], [5], [-7], [10], [-1], [1], [0], [-7], [1], [-4], [1], [-5], [5], [6], [-1], [-7], [-4], [-10], [-1], [1], [1], [-7], [-6], [5], [-4]]}