# Stored data for newform 510.2.a.a, downloaded from the LMFDB on 19 April 2024.
{"label": "510.2.a.a", "space_label": "510.2.a", "level": 510, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 33554942, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 433374384834132456, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [-2, 1]], [11, [4, 1]], [13, [-4, 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": 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": "0.023", "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": "0.022", "prec": 17}, {"__RealLiteral__": 0, "data": "0.989", "prec": 17}, {"__RealLiteral__": 0, "data": "0.106", "prec": 17}, {"__RealLiteral__": 0, "data": "1.921", "prec": 17}, {"__RealLiteral__": 0, "data": "0.378", "prec": 17}, {"__RealLiteral__": 0, "data": "4.657", "prec": 17}], "related_objects": ["EllipticCurve/Q/510/a"], "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, 2], "traces": [0, 1, -1, -1, 1, -1, 1, 2, -1, 1, 1, -4, -1, 4, -2, 1, 1, 1, -1, -4, -1, -2, 4, 8, 1, 1, -4, -1, 2, 2, -1, 4, -1, 4, -1, -2, 1, 6, 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44, 8, -46, -16, -2, 4, -3, -20, 12, 16, -4, 0, 6, -2, -25, 18, 2, 4, -3, -8, 10, -2, 20, -1, 48, -2, 2, -28, 4, -12, -22, -16, -32, -6, -16, -14, -16, 1, -22, 26, -1, 8, 0, -2, -8, 14, 0, 32, -2, -4, 50, 24, 14, 4, 36, 3, -46, 4, -6, -24, 0, 6, -8, -2, -4, 28, -32, 16, -6, -2, -32, 12, 8, 1, -2, 32, -12, -6, -26, -8, -32, 28, 8, 8, 50, 4, 64, 2, 14, 6, -32, 1, -8, 8, 10, 28, 8, 8, 6, -4, -12, -2, -48, -4, 12, 18, -14, 12, 4, -4, -34, 4, -16, -8, -2, -4, 64, -6, 2, 24, -4, 0, 16, 4, 2, -2, 42, 2, -4, 0, 8, 22, -12, 1, -15, -24, 12, -14, -24, 16, 56, -5, 4, 0, -50, -1, -40, 22, -4, 14, -42, -8, 8, 3, -14, 18, -52, 8, 26, -2, -16, -16, 48, -4, 20, -4, 8, -4, 20, 16, -50, -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.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], [-1], [1], [-1], [1], [2], [-1], [1], [1], [-4], [-1], [4], [-2], [1], [1], [1], [-1], [-4], [-1], [-2], [4], [8], [1], [1], [-4], [-1], [2], [2], [-1], [4], [-1], [4], [-1], [-2], [1], [6], [4], [-4], [1], [8], [2], [6], [-4], [-1], [-8], [8], [-1], [-3], [-1], [-1], [4], [-2], [1], [4], [-2], [4], [-2], [-6], [1], [14], [-4], [2], [1], [-4], [-4], [-2], [1], [-8], [2], [2], [-1], [4], [-6], [-1], [-4], [-8], [4], [0], [-1], [1], [-8], [-16], [-2], [-1], [-6], [-2], [4], [-2], [1], [8], [8], [-4], [-8], [4], [1], [0], [3], [-4], [1]]}