# Stored data for newform 510.2.a.f, downloaded from the LMFDB on 24 April 2024.
{"label": "510.2.a.f", "space_label": "510.2.a", "level": 510, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22517998170407422, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 578804144758778028, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [0, 1]], [11, [-4, 1]], [13, [-2, 1]]], "qexp_display": "q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\\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": "0.019", "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": "0.006", "prec": 17}, {"__RealLiteral__": 0, "data": "1.002", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.039", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.172", "prec": 17}], "related_objects": ["EllipticCurve/Q/510/f"], "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, 0], "traces": [0, 1, 1, 1, 1, -1, 1, 0, 1, 1, -1, 4, 1, 2, 0, -1, 1, 1, 1, -4, -1, 0, 4, 4, 1, 1, 2, 1, 0, 2, -1, -4, 1, 4, 1, 0, 1, -6, 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0, 4, 12, 26, 8, 20, 8, 0, -16, -8, 1, -2, -6, 1, 0, 16, -2, -16, -14, -10, -16, 0, -2, 50, 20, 6, -4, -2, -7, 0, 2, 8, -28, 12, -6, 0, 14, 4, 24, 0, 2, 0, 0, 8, -26, -8, 1, 6, -40, 0, 18, 14, 0, -36, 12, -6, 0, 48, -4, 16, 2, -10, 6, 0, 1, 16, -4, 16, -38, 16, 0, -6, -24, 16, 2, -50, 4, 28, -30, -8, -12, -4, 2, 2, 0, -2, 0, -30, -6, -40, -8, 0, -32, -28, 4, -4, -4, 26, 0, -6, 6, 0, 8, 8, 0, 0, -1, -15, -12, 12, 10, -6, 0, 24, 5, -4, 10, 32, 1, 0, -40, 2, 10, 18, 12, -56, 7, -14, 24, -44, -10, -18, 2, 0, -8, -32, -4, -44, -4, 20, 0, 4, 4, 10, 28, -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.f", "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], [0], [1], [1], [-1], [4], [1], [2], [0], [-1], [1], [1], [1], [-4], [-1], [0], [4], [4], [1], [1], [2], [1], [0], [2], [-1], [-4], [1], [4], [1], [0], [1], [-6], [-4], [2], [-1], [-10], [0], [-8], [4], [-1], [4], [0], [1], [-7], [1], [1], [2], [6], [1], [-4], [0], [-4], [2], [-8], [-1], [10], [-4], [0], [1], [-2], [4], [-8], [1], [4], [0], [8], [1], [-2], [-6], [1], [-4], [0], [2], [4], [-1], [1], [-10], [4], [0], [-1], [-8], [2], [4], [-14], [-1], [0], [4], [-4], [0], [4], [1], [-10], [-7], [4], [1]]}