# Stored data for newform 510.2.a.c, downloaded from the LMFDB on 24 April 2024.
{"label": "510.2.a.c", "space_label": "510.2.a", "level": 510, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007199288295934, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1480532117951933178, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[7, [4, 1]], [11, [4, 1]], [13, [2, 1]]], "qexp_display": "q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-4q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 2040, "fricke_eigenval": 1, "atkin_lehner_string": "-++-", "analytic_conductor": 4.0723705030853, "hecke_ring_index": 1, "level_radical": 510, "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": [510, 1, [341, 307, 241], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 17], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.001", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.976", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.892", "prec": 17}], "related_objects": ["EllipticCurve/Q/510/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], [5, 1], [17, -1]], "trace_display": [1, -1, -1, -4], "traces": [0, 1, 1, -1, 1, -1, -1, -4, 1, 1, -1, -4, -1, -2, -4, 1, 1, 1, 1, -4, -1, 4, -4, -4, -1, 1, -2, -1, -4, 2, 1, 4, 1, 4, 1, 4, 1, -6, -4, 2, -1, 2, 4, -12, -4, -1, -4, 8, -1, 9, 1, -1, -2, -2, -1, 4, -4, 4, 2, 12, 1, 2, 4, -4, 1, 2, 4, 4, 1, 4, 4, -4, 1, -14, -6, -1, -4, 16, 2, -12, -1, 1, 2, -4, 4, -1, -12, -2, -4, 10, -1, 8, -4, -4, 8, 4, -1, 18, 9, -4, 1, -10, -1, 0, -2, -4, -2, 12, -1, 10, 4, 6, -4, -6, 4, 4, 2, -2, 12, -4, 1, 5, 2, -2, 4, -1, -4, -16, 1, 12, 2, 20, 4, 16, 4, 1, 1, -6, 4, -20, 4, -8, -4, 8, 1, -2, -14, -9, -6, -2, -1, -8, -4, 1, 16, -4, 2, -10, -12, 2, -1, 16, 1, -20, 2, -4, -4, 12, 4, -9, -1, -4, -12, -14, -2, -4, -4, -12, 10, 12, -1, -22, 8, -2, -4, 6, -4, -4, 8, 4, 4, -8, -1, 18, 18, -2, 9, -14, -4, 4, 1, -4, -10, -8, -1, -2, 0, -4, -2, 16, -4, 4, -2, 4, 12, 12, -1, -16, 10, 14, 4, -2, 6, -8, -4, 1, -6, -20, 4, 6, 4, -16, 2, 18, -2, -8, 12, 12, -4, -24, 1, 10, 5, -1, 2, -9, -2, 8, 4, 4, -1, -28, -4, 16, -16, 1, 1, 18, 12, 24, 2, 2, 20, -16, 4, 2, 16, -10, 4, -30, 1, 0, 1, -8, -6, -4, 4, 2, -20, 4, 4, 10, -8, -20, -4, -4, 8, -8, 1, 1, -2, -18, -14, -26, -9, -12, -6, 4, -2, 8, -1, 48, -8, 10, -4, -2, 1, -4, 16, 0, -4, 20, 2, 10, -10, 4, -12, 10, 2, -8, -1, -12, 16, -4, 1, -2, -20, -10, 2, -32, -4, 28, -4, -6, 12, -4, 4, -22, -9, 6, -1, -16, -4, -8, -12, -4, -14, 20, -2, 22, -4, 2, -4, 2, -12, 4, 10, 4, 12, -24, -1, -3, -22, -5, 8, 14, -2, 28, -4, 2, 6, 8, -4, 38, -4, 1, 8, -4, 4, 20, 4, 16, -8, 8, -1, -16, 18, -12, 18, -18, -2, -4, 9, -20, -14, 12, -4, -30, 4, -16, 1, -6, -4, -8, -10, -1, -8, 24, -1, 10, -2, 6, 0, -48, -4, 4, -2, 20, 16, 12, -4, -18, 4, 8, -2, 1, 4, -8, 12, -8, 12, -4, -1, -14, -16, 2, 10, 16, 14, -12, 4, 9, -2, -36, 6, -10, -8, 2, -4, -6, 1, -8, -6, 8, -20, -8, 4, 10, 6, -1, 4, 14, -16, 40, 2, 4, 18, 36, -2, -16, -8, 10, 12, 48, 12, -4, -4, -2, -24, 20, 1, 12, 10, -16, 5, -18, -1, 20, 2, 20, -9, -12, -2, 2, 8, 4, 4, 16, 4, 4, -1, -12, -28, 44, -4, 10, 16, 9, -16, 38, 1, 56, 1, 4, 18, 0, 12, -32, 24, 14, 2, 18, 2, 28, 20, 4, -16, 4, 4, -7, 2, 12, 16, -4, -10, -12, 4, -12, -30, -36, 1, 18, 0, 22, 1, -10, -8, 20, -6, 2, -4, -8, 4, 48, 2, -6, -20, -26, 4, 24, 4, 4, 10, -36, -8, 6, -20, -4, -4, -6, -4, -44, 8, 8, -8, -4, 1, 18, 1, -18, -2, 16, -18, 8, -14, 2, -26, 44, -9, -16, -12, 14, -6, 18, 4, 4, -2, -4, 8, 24, -1, -6, 48, 4, -8, -5, 10, 28, -4, 8, -2, -16, 1, -2, -4, 2, 16, -30, 0, -28, -4, 4, 20, -40, 2, 1, 10, -16, -10, -6, 4, -16, -12, -4, 10, 16, 2, -18, -8, -4, -1, -6, -12, 28, 16, -12, -4, -16, 1, -48, -2, 16, -20, -30, -10, -20, 2, -14, -32, -28, -4, 14, 28, 2, -4, -16, -6, -8, 12, 8, -4, -8, 4, 34, -22, -1, -9, 18, 6, -72, -1, 20, -16, 36, -4, 6, -8, -6, -12, 4, -4, -44, -14, 16, 20, 20, -2, 2, 22, -18, -4, -18, 2, 24, -4, 8, 2, 40, -12, -14, 4, -12, 10, -16, 4, -8, 12, 24, -24, -44, -1, 0, -3, -10, -22, 2, -5, 8, 8, 1, 14, -12, -2, -18, 28, 9, -4, -16, 2, 12, 6, -8, 8, 28, -4, 2, 38, -4, -4, -48, 1, 12, 8, 28, -4, 8, 4, -34, 20, -16, 4, -6, 16, -40, -8, -1, 8, -24, -1, -46, -16, -18, 18, 6, -12, 4, 18, -24, -18, -8, -2, 16, -4, -2, 9, 10, -20, 36, -14, 16, 12, 24, -4, -4, -30, -2, 4, -26, -16, 8, 1, 10, -6, 56, -4, -16, -8, 30, -10, 18, -1, -28, -8, 0, 24, 20, -1, 48, 10, 8, -2, -30, 6, -28, 0, 4, -48, 44, -4, -34, 4, -2, -2, 9, 20, -12, 16, -4, 12, -36, -4, -25, -18, -10, 4, 9, 8, -20, -2, 20, 1, 24, 4, -46, -8, 4, 12, -22, -8, 28, 12, 8, -4, 32, -1, 14, -14, -1, -16, 48, 2, -8, 10, 18, 16, 4, 14, -22, -12, 26, 4, -30, 9, -28, -2, 12, -36, -12, 6, 64, -10, -4, -8, -32, 2, -12, -4, -8, -6, 8, 1, -2, -8, -48, -6, 22, 8, 28, -20, -10, -8, 20, 4, 16, 10, 2, 6, -80, -1, -56, 4, 4, 14, 8, -16, -6, 40, 0, 2, -6, 4, -36, 18, -20, 36, 4, -2, -22, -16, -10, -8, 10, 10, -8, 12, -4, 48, -28, 12, 28, -4, -10, -4, -6, -2, 8, -24, 8, 20, 24, 1, -15, 12, 12, 10, -18, -16, -16, 5, 4, -18, 28, -1, 80, 20, 2, 2, -30, 20, -40, -9, 10, -12, -28, -2, 14, 2, 32, 8, 48, 4, -4, 4, -28, 16, -4, 4, -38, 4, 6, -1], "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": "510.2.a.c", "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], [-1], [-1], [-4], [1], [1], [-1], [-4], [-1], [-2], [-4], [1], [1], [1], [1], [-4], [-1], [4], [-4], [-4], [-1], [1], [-2], [-1], [-4], [2], [1], [4], [1], [4], [1], [4], [1], [-6], [-4], [2], [-1], [2], [4], [-12], [-4], [-1], [-4], [8], [-1], [9], [1], [-1], [-2], [-2], [-1], [4], [-4], [4], [2], [12], [1], [2], [4], [-4], [1], [2], [4], [4], [1], [4], [4], [-4], [1], [-14], [-6], [-1], [-4], [16], [2], [-12], [-1], [1], [2], [-4], [4], [-1], [-12], [-2], [-4], [10], [-1], [8], [-4], [-4], [8], [4], [-1], [18], [9], [-4], [1]]}