# Stored data for newform 162.2.a.c, downloaded from the LMFDB on 24 April 2024. {"label": "162.2.a.c", "space_label": "162.2.a", "level": 162, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007199288295586, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 18950087430636185, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [0, 1]], [11, [3, 1]]], "qexp_display": "q+q^{2}+q^{4}+2q^{7}+q^{8}-3q^{11}+2q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 648, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 1.2935765127447423, "hecke_ring_index": 1, "level_radical": 6, "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": "0.017", "prec": 17}, "analytic_rank_proved": true, "char_values": [162, 1, [83], [1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.005", "prec": 17}, {"__RealLiteral__": 0, "data": "0.992", "prec": 17}, {"__RealLiteral__": 0, "data": "0.023", "prec": 17}, {"__RealLiteral__": 0, "data": "1.935", "prec": 17}, {"__RealLiteral__": 0, "data": "0.040", "prec": 17}, {"__RealLiteral__": 0, "data": "4.704", "prec": 17}], "related_objects": ["EllipticCurve/Q/162/c"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1]], "trace_display": [1, 0, 0, 2], "traces": [0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, -3, 0, 2, 2, 0, 1, -3, 0, -1, 0, 0, -3, -6, 0, -5, 2, 0, 2, 6, 0, -4, 1, 0, -3, 0, 0, -4, -1, 0, 0, 9, 0, -1, -3, 0, -6, -6, 0, -3, -5, 0, 2, 12, 0, 0, 2, 0, 6, 3, 0, 8, -4, 0, 1, 0, 0, 5, -3, 0, 0, -12, 0, 11, -4, 0, -1, -6, 0, -4, 0, 0, 9, 12, 0, 0, -1, 0, -3, 6, 0, 4, -6, 0, -6, 0, 0, 5, -3, 0, -5, 0, 0, 14, 2, 0, 12, 3, 0, -16, 0, 0, 2, 6, 0, 0, 6, 0, 3, -6, 0, -2, 8, 0, -4, 0, 0, 2, 1, 0, 0, 0, 0, -2, 5, 0, -3, -3, 0, -19, 0, 0, -12, -6, 0, 0, 11, 0, -4, -6, 0, -10, -1, 0, -6, 0, 0, -4, -4, 0, 0, -12, 0, -4, 9, 0, 12, -12, 0, -9, 0, 0, -1, -6, 0, -10, -3, 0, 6, 12, 0, 14, 4, 0, -6, 0, 0, 9, -6, 0, 0, -18, 0, 5, 5, 0, -3, -12, 0, -10, -5, 0, 0, 12, 0, 0, 14, 0, 2, 3, 0, 20, 12, 0, 3, 0, 0, -8, -16, 0, 0, -6, 0, 26, 2, 0, 6, 21, 0, 14, 0, 0, 6, 3, 0, 0, 3, 0, -6, 6, 0, -7, -2, 0, 8, 0, 0, -2, -4, 0, 0, 21, 0, 18, 2, 0, 1, -21, 0, -8, 0, 0, 0, 18, 0, 0, -2, 0, 5, -24, 0, 20, -3, 0, -3, 15, 0, -10, -19, 0, 0, 6, 0, -4, -12, 0, -6, 18, 0, -8, 0, 0, 11, 30, 0, 0, -4, 0, -6, -12, 0, -2, -10, 0, -1, 0, 0, -7, -6, 0, 0, -18, 0, 29, -4, 0, -4, -18, 0, -18, 0, 0, -12, 3, 0, -10, -4, 0, 9, -12, 0, -4, 12, 0, -12, 0, 0, -1, -9, 0, 0, 12, 0, -20, -1, 0, -6, 33, 0, -16, -10, 0, -3, -21, 0, 0, 6, 0, 12, -18, 0, -18, 14, 0, 4, 0, 0, -28, -6, 0, 0, 24, 0, -34, 9, 0, -6, 12, 0, 23, 0, 0, -18, 0, 0, 0, 5, 0, 5, 18, 0, 18, -3, 0, -12, 0, 0, 20, -10, 0, -5, -27, 0, -8, 0, 0, 12, 12, 0, 17, 0, 0, 14, 6, 0, 0, 2, 0, 3, -12, 0, 20, 20, 0, 12, 15, 0, 16, 3, 0, 0, -30, 0, -7, -8, 0, -16, 6, 0, 8, 0, 0, -6, 3, 0, 0, 26, 0, 2, 9, 0, -27, 6, 0, 21, 0, 0, 17, 14, 0, 0, -30, 0, 20, 6, 0, 3, -15, 0, 10, 0, 0, 3, 3, 0, 5, -6, 0, 6, -42, 0, -8, -7, 0, -2, 0, 0, 26, 8, 0, 0, -15, 0, -18, -2, 0, -4, -24, 0, -13, 0, 0, 21, 0, 0, 0, 18, 0, 2, 0, 0, 22, 1, 0, -21, 0, 0, 18, -8, 0, 0, -3, 0, 20, 0, 0, 18, 12, 0, 13, 0, 0, -2, 18, 0, 0, 5, 0, -24, 9, 0, -4, 20, 0, -3, 0, 0, -1, -3, 0, 15, -6, 0, -8, -10, 0, -19, -30, 0, -2, 0, 0, 6, -39, 0, 0, -4, 0, -12, 45, 0, -37, -6, 0, 18, 30, 0, 11, -8, 0, 0, 24, 0, -36, 11, 0, 30, -9, 0, 4, 0, 0, -4, 6, 0, 0, -6, 0, -12, 12, 0, -37, -2, 0, -10, 0, 0, -28, -1, 0, 0, -12, 0, -16, -7, 0, -6, 27, 0, 35, 0, 0, -18, 12, 0, 25, 29, 0, -4, 12, 0, -40, -4, 0, -18, 0, 0, -6, -18, 0, 0, -3, 0, 23, -12, 0, 3, 18, 0, -9, -10, 0, -4, -6, 0, 0, 9, 0, -12, -36, 0, -4, -4, 0, 12, 0, 0, -36, -12, 0, 0, -24, 0, -22, -1, 0, -9, 36, 0, 10, 0, 0, 12, -9, 0, 0, -20, 0, -1, 24, 0, 8, -6, 0, 33, 0, 0, -27, -16, 0, -10, 30, 0, 4, -3, 0, -21, 0, 0, -4, 0, 0, 6, 24, 0, 0, 12, 0, -18, -36, 0, 28, -18, 0, 14, -30, 0, 26, 4, 0, 0, 3, 0, 14, -28, 0, -6, -15, 0, 47, 0, 0, 24, 6, 0, 0, -34, 0, 9, 6, 0, 8, -6, 0, 12, 0, 0, 2, 23, 0, 0, 42, 0, -32, -18, 0, 0, 6, 0, 2, 0, 0, 5, 18, 0, 20, 5, 0, 18, -9, 0, 36, 18, 0, -3, 0, 0, -4, -12, 0, 0, 12, 0, 16, 20, 0, -10, -12, 0, 18, -5, 0, -27, -33, 0, 0, -8, 0, 0, 33, 0, -7, 12, 0, 12, 0, 0, 1, 17, 0, 0, -18, 0, -16, 14, 0, 6, -12, 0, -10, 0, 0, 2, 9, 0, 0, 3, 0, -12, 12, 0, 7, 20, 0, 20, 0, 0, -4, 12, 0, 15, 24, 0, 26, 16, 0, 3, -42, 0, 35, 0, 0, -30, 24, 0, 0, -7, 0, -8, 12, 0, 10, -16, 0, 6, 0, 0, 8, 8, 0, 0, -42, 0, -19, -6, 0, 3, 0, 0, 4, 0, 0, 26, 6, 0, 0, 2, 0, 9, -24, 0, -36, -27, 0, 6, 0, 0, -31, 21, 0, 0, 48, 0, -36, 17, 0, 14, 0, 0, 38, 0, 0, -30, -24, 0, 20, 20, 0, 6, -6, 0, 3, 3, 0, -15, 0, 0, 14, 10, 0, 0, -60, 0, -54, 3, 0, 3, 3, 0, 22, 5, 0, -6, 9, 0, 0, 6, 0, -42, -6, 0, -15, -8, 0, -7, 0, 0, -22, -2, 0, 0, -36, 0, -38, 26, 0, 8, -51, 0, -18, 0, 0, -15, 0, 0, 0, -18, 0, -2, 6, 0, -16, -4, 0, -24, 0, 0, -28, -13, 0, 0], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "18.2.c.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], [0], [1], [0], [0], [2], [1], [0], [0], [-3], [0], [2], [2], [0], [1], [-3], [0], [-1], [0], [0], [-3], [-6], [0], [-5], [2], [0], [2], [6], [0], [-4], [1], [0], [-3], [0], [0], [-4], [-1], [0], [0], [9], [0], [-1], [-3], [0], [-6], [-6], [0], [-3], [-5], [0], [2], [12], [0], [0], [2], [0], [6], [3], [0], [8], [-4], [0], [1], [0], [0], [5], [-3], [0], [0], [-12], [0], [11], [-4], [0], [-1], [-6], [0], [-4], [0], [0], [9], [12], [0], [0], [-1], [0], [-3], [6], [0], [4], [-6], [0], [-6], [0], [0], [5], [-3], [0], [-5]]}