# Stored data for newform 58.2.a.a, downloaded from the LMFDB on 19 April 2024.
{"label": "58.2.a.a", "space_label": "58.2.a", "level": 58, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 33554490, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 465711061579246240, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [3, 1]]], "qexp_display": "q-q^{2}-3q^{3}+q^{4}-3q^{5}+3q^{6}-2q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 232, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 0.4631323317234262, "hecke_ring_index": 1, "level_radical": 58, "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": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [58, 1, [31], [1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 29], "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": "0.991", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.010", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.161", "prec": 17}], "related_objects": ["EllipticCurve/Q/58/a"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [29, 1]], "trace_display": [-1, -3, -3, -2], "traces": [0, 1, -1, -3, 1, -3, 3, -2, -1, 6, 3, -1, -3, 3, 2, 9, 1, -4, -6, -8, -3, 6, 1, 0, 3, 4, -3, -9, -2, -1, -9, 3, -1, 3, 4, 6, 6, -8, 8, -9, 3, -2, -6, 7, -1, -18, 0, 11, -3, -3, -4, 12, 3, 1, 9, 3, 2, 24, 1, 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"minimal_twist": "58.2.a.a", "char_is_minimal": 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], [-3], [1], [-3], [3], [-2], [-1], [6], [3], [-1], [-3], [3], [2], [9], [1], [-4], [-6], [-8], [-3], [6], [1], [0], [3], [4], [-3], [-9], [-2], [-1], [-9], [3], [-1], [3], [4], [6], [6], [-8], [8], [-9], [3], [-2], [-6], [7], [-1], [-18], [0], [11], [-3], [-3], [-4], [12], [3], [1], [9], [3], [2], [24], [1], [-4], [9], [4], [-3], [-12], [1], [-9], [-3], [-4], [-4], [0], [-6], [-2], [-6], [-12], [8], [-12], [-8], [2], [9], [-7], [-3], [9], [2], [0], [6], [12], [-7], [3], [1], [-6], [18], [-6], [0], [-9], [-11], [24], [3], [-6], [3], [-6], [4]]}