# Stored data for newform 966.2.a.k, downloaded from the LMFDB on 24 April 2024.
{"label": "966.2.a.k", "space_label": "966.2.a", "level": 966, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45035996307260358, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1448009311965840418, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-3, 1]], [11, [-4, 1]], [13, [3, 1]]], "qexp_display": "q+q^{2}+q^{3}+q^{4}+3q^{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": 3864, "fricke_eigenval": -1, "atkin_lehner_string": "--+-", "analytic_conductor": 7.713548835255685, "hecke_ring_index": 1, "level_radical": 966, "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": "0.008", "prec": 17}, "analytic_rank_proved": true, "char_values": [966, 1, [323, 829, 925], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 7, 23], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.002", "prec": 17}, {"__RealLiteral__": 0, "data": "1.024", "prec": 17}, {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, {"__RealLiteral__": 0, "data": "2.030", "prec": 17}, {"__RealLiteral__": 0, "data": "0.029", "prec": 17}, {"__RealLiteral__": 0, "data": "5.025", "prec": 17}], "related_objects": ["EllipticCurve/Q/966/k"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [7, 1], [23, -1]], "trace_display": [1, 1, 3, -1], "traces": [0, 1, 1, 1, 1, 3, 1, -1, 1, 1, 3, 4, 1, -3, -1, 3, 1, -4, 1, 0, 3, -1, 4, 1, 1, 4, -3, 1, -1, 3, 3, -6, 1, 4, -4, -3, 1, -9, 0, -3, 3, 9, -1, -3, 4, 3, 1, -7, 1, 1, 4, -4, -3, -4, 1, 12, -1, 0, 3, 6, 3, 10, -6, -1, 1, -9, 4, 4, -4, 1, -3, -6, 1, -8, -9, 4, 0, -4, -3, 8, 3, 1, 9, 4, -1, -12, -3, 3, 4, -14, 3, 3, 1, -6, -7, 0, 1, -7, 1, 4, 4, -14, -4, 5, -3, -3, -4, 8, 1, 3, 12, -9, -1, 9, 0, 3, 3, -3, 6, 4, 3, 5, 10, 9, -6, -3, -1, 7, 1, -3, -9, -6, 4, 0, 4, 3, -4, -15, 1, 9, -3, -7, -6, -12, 1, 9, -8, 1, -9, 16, 4, 15, 0, -4, -4, -18, -3, -8, 8, -4, 3, -1, 1, 16, 9, 12, 4, -20, -1, -4, -12, 0, -3, -6, 3, -4, 4, 6, -14, 19, 3, -2, 3, 10, 1, -27, -6, -16, -7, -1, 0, -12, 1, -17, -7, -9, 1, -23, 4, -5, 4, 4, -14, -3, -4, 27, 5, 1, -3, 0, -3, -12, -4, -6, 8, -9, 1, 6, 3, -8, 12, 12, -9, -14, -1, 4, 9, 11, 0, 12, 3, -4, 3, -10, -3, -21, 6, 8, 4, -12, 3, -5, 5, 1, 10, 3, 9, 0, -6, 4, -3, 19, -1, 4, 7, -12, 1, -26, -3, 9, -9, 3, -6, 21, 4, -12, 0, -14, 4, -6, 3, 20, -4, 3, -15, 16, 1, 20, 9, -6, -3, 23, -7, -6, -6, 0, -12, -9, 1, -1, 9, -7, -8, 6, 1, 18, -9, 4, 16, -3, 4, 3, 15, -14, 0, 30, -4, 15, -4, 5, -18, -28, -3, 34, -8, -3, 8, 5, -4, 12, 3, 8, -1, 0, 1, -12, 16, 3, 9, 7, 12, 8, 4, -9, -20, 12, -1, -12, -4, 9, -12, -24, 0, -1, -3, 3, -6, 23, 3, -26, -4, -3, 4, -29, 6, -18, -14, 4, 19, -1, 3, -19, -2, 5, 3, -24, 10, 31, 1, 9, -27, 4, -6, 22, -16, -3, -7, -9, -1, -25, 0, 7, -12, 0, 1, -12, -17, -3, -7, 18, -9, -4, 1, -6, -23, 24, 4, 34, -5, 0, 4, 38, 4, 18, -14, 3, -3, -36, -4, 16, 27, -15, 5, -6, 1, 12, -3, 9, 0, -4, -3, -21, -12, -7, -4, -16, -6, -10, 8, -12, -9, 21, 1, 23, 6, 9, 3, 0, -8, -10, 12, 1, 12, 25, -9, -42, -14, 16, -1, 30, 4, 36, 9, 15, 11, 9, 0, 24, 12, -4, 3, -22, -4, 13, 3, -18, -10, 13, -3, -4, -21, -8, 6, -12, 8, 0, 4, -4, -12, 30, 3, 27, -5, -1, 5, -21, 1, 13, 10, 16, 3, -12, 9, -12, 0, 12, -6, 6, 4, 34, -3, -20, 19, -30, -1, -42, 4, -4, 7, 44, -12, 8, 1, 0, -26, 15, -3, -28, 9, -6, -9, -6, 3, 42, -6, -4, 21, 24, 4, 1, -12, 6, 0, -27, -14, 24, 4, 19, -6, 4, 3, -28, 20, -2, -4, 9, 3, 22, -15, 10, 16, 0, 1, -8, 20, -27, 9, 24, -6, 9, -3, -16, 23, 15, -7, 27, -6, -1, -6, -13, 0, -20, -12, -12, -9, 4, 1, -30, -1, -17, 9, -4, -7, -16, -8, -9, 6, -12, 1, 0, 18, -23, -9, 29, 4, 12, 16, -5, -3, -40, 4, -28, 3, 4, 15, 15, -14, 30, 0, -3, 30, 21, -4, 25, 15, 27, -4, -6, 5, 2, -18, 1, -28, 14, -3, -29, 34, 0, -8, 36, -3, 16, 8, -12, 5, 21, -4, -3, 12, -6, 3, 15, 8, -26, -1, -9, 0, -24, 1, 24, -12, 6, 16, 31, 3, -18, 9, -8, 7, -12, 12, -38, 8, 12, 4, 0, -9, 3, -20, -14, 12, 40, -1, 19, -12, 4, -4, 46, 9, 7, -12, 11, -24, -4, 0, -45, -1, 12, -3, 12, 3, -5, -6, -4, 23, 27, 3, -36, -26, -10, -4, 36, -3, 0, 4, -21, -29, 14, 6, -34, -18, 8, -14, -6, 4, -36, 19, -12, -1, -7, 3, -5, -19, -5, -2, 12, 5, -44, 3, 1, -24, 12, 10, -16, 31, 3, 1, 16, 9, 26, -27, 0, 4, 40, -6, 48, 22, 4, -16, -8, -3, -40, -7, 19, -9, 45, -1, -22, -25, 4, 0, -42, 7, -3, -12, -12, 0, -18, 1, 5, -12, -26, -17, 19, -3, -24, -7, 9, 18, 0, -9, -24, -4, 3, 1, -24, -6, -40, -23, 21, 24, -9, 4, -30, 34, -12, -5, -49, 0, 28, 4, -14, 38, -32, 4, -3, 18, -6, -14, -16, 3, 33, -3, 20, -36, 48, -4, 0, 16, 3, 27, -30, -15, 7, 5, 16, -6, -30, 1, 38, 12, 20, -3, -4, 9, -60, 0, -6, -4, 6, -3, -20, -21, 23, -12, -12, -7, -5, -4, -6, -16, -9, -6, 7, -10, 0, 8, 33, -12, 13, -9, -9, 21, -8, 1, -18, 23, -1, 6, 32, 9, -12, 3, -7, 0, 3, -8, -36, -10, 6, 12, 6, 1, 54, 12, 18, 25, -24, -9, -7, -42, 4, -14, 0, 16, 57, -1, -3, 30, -18, 4, 16, 36, 3, 9, -6, 15, -53, 11, -14, 9, -49, 0, 16, 24, 30, 12, 6, -4, 24, 3, 15, -22, 18, -4, -36, 13, 5, 3, 9, -18, 0, -10, -28, 13, -48, -3, 25, -4, 34, -21, 3, -8, 9, 6, -3, -12, -31, 8, 24, 0, 5, 4, 34, -4, -36, -12, 12, 30, 15, 3, 5, 27, 8, -5, -51, -1, 4, 5, 0, -21, -24, 1, -9, 13, -12, 10, 13, 16, -56, 3, 3, -12, -54, 9, -69, -12, 7, 0, -3, 12, -36, -6, 8, 6, -15, 4, -46, 34, -9, -3], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "966.2.a.k", "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], [1], [1], [3], [1], [-1], [1], [1], [3], [4], [1], [-3], [-1], [3], [1], [-4], [1], [0], [3], [-1], [4], [1], [1], [4], [-3], [1], [-1], [3], [3], [-6], [1], [4], [-4], [-3], [1], [-9], [0], [-3], [3], [9], [-1], [-3], [4], [3], [1], [-7], [1], [1], [4], [-4], [-3], [-4], [1], [12], [-1], [0], [3], [6], [3], [10], [-6], [-1], [1], [-9], [4], [4], [-4], [1], [-3], [-6], [1], [-8], [-9], [4], [0], [-4], [-3], [8], [3], [1], [9], [4], [-1], [-12], [-3], [3], [4], [-14], [3], [3], [1], [-6], [-7], [0], [1], [-7], [1], [4], [4]]}