# Stored data for newform 170.2.a.c, downloaded from the LMFDB on 30 April 2024.
{"label": "170.2.a.c", "space_label": "170.2.a", "level": 170, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007199288295594, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1233862581788887554, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-1, 1]], [7, [-2, 1]], [13, [-5, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}+q^{5}-q^{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": 680, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 1.3574568343617666, "hecke_ring_index": 1, "level_radical": 170, "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": "0.016", "prec": 17}, "analytic_rank_proved": true, "char_values": [170, 1, [137, 71], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 5, 17], "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": "0.984", "prec": 17}, {"__RealLiteral__": 0, "data": "0.054", "prec": 17}, {"__RealLiteral__": 0, "data": "1.955", "prec": 17}, {"__RealLiteral__": 0, "data": "0.187", "prec": 17}, {"__RealLiteral__": 0, "data": "4.888", "prec": 17}], "related_objects": ["EllipticCurve/Q/170/c"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, -1], [17, 1]], "trace_display": [-1, 1, 1, 2], "traces": [0, 1, -1, 1, 1, 1, -1, 2, -1, -2, -1, 0, 1, 5, -2, 1, 1, -1, 2, -1, 1, 2, 0, 6, -1, 1, -5, -5, 2, -9, -1, -1, -1, 0, 1, 2, -2, -4, 1, 5, -1, -6, 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"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], [2], [-1], [-2], [-1], [0], [1], [5], [-2], [1], [1], [-1], [2], [-1], [1], [2], [0], [6], [-1], [1], [-5], [-5], [2], [-9], [-1], [-1], [-1], [0], [1], [2], [-2], [-4], [1], [5], [-1], [-6], [-2], [2], [0], [-2], [-6], [-9], [1], [-3], [-1], [-1], [5], [-9], [5], [0], [-2], [-1], [9], [3], [1], [-7], [1], [-4], [1], [5], [0], [14], [-1], [6], [-2], [3], [2], [11], [4], [1], [-1], [0], [-5], [8], [1], [1], [6], [0], [2], [-1], [-2], [-9], [0], [-9], [2], [10], [6], [-1], [9], [-1], [-1], [-7], [3], [0], [1]]}