# Stored data for newform 286.2.a.a, downloaded from the LMFDB on 30 April 2024.
{"label": "286.2.a.a", "space_label": "286.2.a", "level": 286, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 33554718, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1191007604238795798, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [2, 1]], [5, [-3, 1]]], "qexp_display": "q-q^{2}-2q^{3}+q^{4}+3q^{5}+2q^{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": 1144, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 2.283721497808619, "hecke_ring_index": 1, "level_radical": 286, "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": "0.013", "prec": 17}, "analytic_rank_proved": true, "char_values": [286, 1, [79, 67], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 11, 13], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.019", "prec": 17}, {"__RealLiteral__": 0, "data": "0.953", "prec": 17}, {"__RealLiteral__": 0, "data": "0.037", "prec": 17}, {"__RealLiteral__": 0, "data": "1.828", "prec": 17}, {"__RealLiteral__": 0, "data": "0.105", "prec": 17}, {"__RealLiteral__": 0, "data": "4.474", "prec": 17}], "related_objects": ["EllipticCurve/Q/286/a"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [11, 1], [13, -1]], "trace_display": [-1, -2, 3, -1], "traces": [0, 1, -1, -2, 1, 3, 2, -1, -1, 1, -3, -1, -2, 1, 1, -6, 1, 6, -1, 8, 3, 2, 1, -3, 2, 4, -1, 4, -1, 9, 6, 2, -1, 2, -6, -3, 1, -10, -8, -2, -3, 9, -2, -1, -1, 3, 3, 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1, "minimal_twist": "286.2.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], [-2], [1], [3], [2], [-1], [-1], [1], [-3], [-1], [-2], [1], [1], [-6], [1], [6], [-1], [8], [3], [2], [1], [-3], [2], [4], [-1], [4], [-1], [9], [6], [2], [-1], [2], [-6], [-3], [1], [-10], [-8], [-2], [-3], [9], [-2], [-1], [-1], [3], [3], [0], [-2], [-6], [-4], [-12], [1], [6], [-4], [-3], [1], [-16], [-9], [-3], [-6], [-7], [-2], [-1], [1], [3], [-2], [-7], [6], [6], [3], [12], [-1], [-1], [10], [-8], [8], [1], [2], [-4], [3], [-11], [-9], [0], [2], [18], [1], [-18], [1], [12], [-3], [-1], [-3], [-4], [0], [24], [2], [-4], [6], [-1], [4]]}