# Stored data for newform 287.2.a.a, downloaded from the LMFDB on 19 April 2024. {"label": "287.2.a.a", "space_label": "287.2.a", "level": 287, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 33554719, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 1353055439138607357, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-1, 1, 1]], [3, [1, 3, 1]]], "qexp_display": "q-\\beta q^{2}+(-1-\\beta )q^{3}+(-1+\\beta )q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 1148, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 2.291706538010747, "hecke_ring_index": 1, "level_radical": 287, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 10, "field_poly_is_real_cyclotomic": true, "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": [287, 1, [206, 211], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [7, 41], "conrey_indexes": [1], "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.961", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.423", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "63.685", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[7, -1], [41, -1]], "trace_display": [-1, -3, -1, 2], "traces": [0, 2, -1, -3, -1, -1, 4, 2, 0, 1, -2, 0, -1, -6, -1, -1, -3, -6, -8, -3, 3, -3, -5, 3, -5, -7, 3, 0, -1, 9, 3, -17, 9, -5, 13, -1, 7, 2, -6, 9, 5, 2, 4, -2, 5, 7, -4, -2, 12, 2, 6, 19, 3, -17, 5, 5, 0, -3, 3, 13, -2, -22, 6, 1, 4, 3, 10, 11, -7, -7, -2, -4, 15, -30, 14, 13, 9, 0, -12, -2, -6, 2, -1, 6, -1, -7, 21, -6, 10, -9, -1, -6, 1, 23, -4, 9, -11, -17, -1, 15, 1, 8, -32, -13, 0, -1, -4, 6, -5, 4, 0, 12, -3, -2, 9, 1, -12, -3, -4, -6, -5, -12, 11, -3, 11, 6, -8, 8, -25, 23, 6, -19, -5, -3, -8, -5, -20, -17, 11, -10, 3, -2, 7, 0, -24, -12, 15, -3, -16, 4, -19, 4, 15, -33, -5, 11, 3, 12, -14, 13, -7, 3, 14, 20, -1, -5, 17, 0, -5, -8, 6, 21, -19, 12, 3, -7, -15, -17, -18, 25, -6, 16, 3, 33, 5, -16, -29, -20, 6, 0, 3, -24, -11, -2, 16, 3, -1, 3, -10, -12, -5, -19, -9, 9, 13, -1, 29, 9, 9, 15, 3, -3, 21, 11, 12, -19, -10, -17, -22, 45, -5, 18, -26, -17, 9, -11, -19, 10, -6, 18, -3, -5, -15, -3, 24, 6, -9, -12, 13, 27, 9, 14, 6, 12, 11, -1, 4, 9, 5, 11, 17, 6, 7, 5, -39, 13, 7, 6, -44, 2, -9, -18, 12, 18, -15, 21, -6, -9, -3, 3, 0, 28, 39, 9, 6, -5, -4, -4, -25, -1, 5, 54, 6, 16, -3, -6, 15, 2, -3, 24, -9, 33, 15, -18, 4, -9, -30, -10, 38, -9, 6, -2, 33, -17, -18, 11, 44, -4, 5, 42, 17, 7, 15, -12, -36, 7, 16, -30, -9, -15, 3, 6, -4, -21, -16, 21, -20, -26, 0, -2, 5, -16, -23, -44, 15, -3, 12, -28, 4, -17, 1, 5, -3, 2, -40, -4, -21, 30, 3, -8, 6, 0, -5, 12, 21, -3, 27, 19, -30, -18, -5, -11, -38, 18, 3, 15, -44, 11, -12, 1, -2, -17, 6, 19, 25, 11, 10, -27, 5, -34, -12, -47, 32, -18, 40, 5, -29, -61, 1, 3, -9, -19, 0, 31, -14, 16, -5, -19, 21, -3, 18, -54, 27, 51, 1, -16, 3, -30, 45, 4, -2, 23, -16, 13, -17, -23, -27, -15, 0, -15, -2, 32, 9, 14, 25, 31, -18, -22, -18, 15, 2, -46, 15, -37, 6, 3, 18, 3, -60, 44, -5, 1, -39, -65, 14, 27, 16, 34, 4, -20, 33, 0, 21, 29, -15, 3, -15, -28, 6, 20, 2, -40, 10, -17, 9, 6, 9, 12, -21, 11, 2, -48, -5, -40, 26, 3, -7, 29, 9, 27, -2, -6, 8, -7, 6, 1, -41, 54, 0, -40, -2, 9, -1, 3, 18, -5, 18, -4, -28, 2, -23, 15, -53, 5, 15, 1, -10, 12, 31, 63, -19, -30, 24, -15, -3, -16, 21, 10, 14, -33, -15, 51, -21, 26, 7, 13, -39, 41, 30, -39, 17, -1, 9, -6, 27, -18, 5, -55, 41, 0, 5, -41, 21, -54, -17, 18, -12, 8, 11, -11, 20, -36, -15, -2, 17, 14, 35, -63, 63, 6, -6, 45, -27, -36, -4, 21, -48, 2, -10, 3, 3, 20, -15, 56, -1, -13, 17, 14, -72, -27, 21, 6, -49, 25, 0, -21, 29, -26, -1, 33, -13, -17, 42, 72, 5, -7, -42, 33, 12, 30, 25, -27, 21, 13, -37, 6, 26, 50, -21, -6, 22, 6, -11, 13, -38, -1, 10, 44, -71, 7, -28, -5, 29, -9, -36, 12, 51, -15, 24, 54, -1, 32, 30, 12, 45, 31, -4, -6, -15, -17, 10, -34, -18, -17, 1, 21, 18, 10, -30, -5, -18, 23, 0, -3, 48, 7, -3, -15, -4, -66, 0, -50, 48, -57, -40, 9, 22, 6, -15, 33, -11, 0, -11, -64, 34, 5, 4, -47, 36, -17, -5, -25, 40, 48, -18, 11, -1, -12, 63, 51, 7, 55, 9, 15, 30, 35, 0, -6, 19, 12, 1, 49, -15, -48, 10, -4, -46, 8, -4, 22, 4, 44, 45, -23, -32, -15, 5, -18, 14, -22, -3, -13, 28, -6, 22, -24, -24, -27, 0, -59, 30, 86, 11, -30, 57, -1, 11, 5, -8, 11, 18, 9, -4, 69, 35, -42, -52, -57, -5, 6, -28, 50, -12, -59, -9, -37, -5, -6, 12, -15, -15, -68, 86, 4, -8, -11, 19, -39, -33, -46, 0, -9, 31, 26, 48, 57, -15, 12, -19, -3, 6, -10, 32, 15, -3, 24, -43, 42, 11, -57, 2, -2, 5, 66, -38, -4, -9, 22, 9, -14, -29, 63, 2, 0, -8, 1, -18, 38, 10, -55, -2, -76, -12, -7, 10, 0, -96, -57, 53, -3, 3, -18, -29, -29, -45, 25, -4, -60, 8, -38, -6, 21, -12, -6, 40, -15, -15, -5, -15, 6, -5, 5, -26, -81, -6, 4, -2, -12, -12, -64, -58, -12, 7, 52, 11, -18, -30, -11, -30, -47, 17, -3, 43, -60, 5, 9, -24, -96, 11, 30, 6, -33, 40, -31, -9, 6, 15, 19, -27, 47, 0, 36, -8, 21, 21, -4, 30, -20, 40, 8, 9, -30, 1, 18, -72, 5, -25, 21, -30, -84, -22, 1, -5, 23, 40, 22, -62, -61, 5, 19, 6, 20, 27, -40, -1, 11, -24, -19, -25, 5, 5, -34, 45, 12, -5, 8, -59, -74, 48, 27, -23, -3, -6, 22, -61, -5, -45, -16, -8, 63, -8, 43, 84, 3, -12, -5, 25, 27, -14, 90, 21, 75, -20, -3, 43, -8, -36, 0, -46, -17, -7, 85, -42, -42, -22, 31, 11, 12, 0, 39, 17, 70, 29, -10, -42, -39, 33, 1, 60, 45, 3, 62, 73, -6, -5, 11, 21, -2, -27, -23, -15, 30, -79, 64, 7, -9, 17, -1, -6, 30, -40], "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": "287.2.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, 0], [1, 0], [0, -1], [-1, -1], [-1, 1], [-1, 1], [1, 2], [1, 0], [-1, 2], [-1, 3], [-1, 0], [-1, 2], [0, -1], [-3, 0], [0, -1], [0, -1], [0, -3], [-1, -4], [-3, -2], [-3, 3], [2, -1], [-1, -1], [-2, -1], [1, 1], [-1, -3], [-3, -1], [0, 3], [1, -2], [-1, 1], [6, -3], [1, 1], [-9, 1], [5, -1], [-1, -3], [4, 5], [-1, 1], [4, -1], [4, -6], [-3, 0], [3, 3], [3, -1], [1, 0], [1, 2], [3, -8], [3, -1], [4, -1], [-1, -2], [-2, 2], [3, 6], [1, 0], [1, 4], [5, 9], [3, -3], [-11, 5], [2, 1], [3, -1], [-1, 2], [0, -3], [3, -3], [7, -1], [-1, 0], [-11, 0], [-1, 8], [-1, 3], [1, 2], [3, -3], [3, 4], [5, 1], [-3, -1], [-2, -3], [-1, 0], [-1, -2], [7, 1], [-15, 0], [6, 2], [4, 5], [6, -3], [-1, 2], [-3, -6], [-4, 6], [-3, 0], [4, -6], [0, -1], [7, -8], [0, -1], [-3, -1], [8, 5], [-3, 0], [5, 0], [-9, 9], [1, -3], [-3, 0], [0, 1], [8, 7], [-2, 0], [6, -3], [-4, -3], [-7, -3], [0, -1], [7, 1], [2, -3]]}