# Stored data for newform 490.2.a.f, downloaded from the LMFDB on 24 April 2024.
{"label": "490.2.a.f", "space_label": "490.2.a", "level": 490, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22517998170407402, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1945016020165541654, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [2, 1]], [11, [4, 1]], [13, [2, 1]]], "qexp_display": "q+q^{2}-2q^{3}+q^{4}-q^{5}-2q^{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": 1960, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 3.912669699042739, "hecke_ring_index": 1, "level_radical": 70, "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": "0.009", "prec": 17}, "analytic_rank_proved": true, "char_values": [490, 1, [197, 101], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 5, 7], "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": "1.016", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.001", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.932", "prec": 17}], "related_objects": ["EllipticCurve/Q/490/f"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, 1], [7, -1]], "trace_display": [1, -2, -1, 0], "traces": [0, 1, 1, -2, 1, -1, -2, 0, 1, 1, -1, -4, -2, -2, 0, 2, 1, -8, 1, 6, -1, 0, -4, -4, -2, 1, -2, 4, 0, -6, 2, -4, 1, 8, -8, 0, 1, -10, 6, 4, -1, -4, 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"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], [-2], [1], [-1], [-2], [0], [1], [1], [-1], [-4], [-2], [-2], [0], [2], [1], [-8], [1], [6], [-1], [0], [-4], [-4], [-2], [1], [-2], [4], [0], [-6], [2], [-4], [1], [8], [-8], [0], [1], [-10], [6], [4], [-1], [-4], [0], [4], [-4], [-1], [-4], [-4], [-2], [0], [1], [16], [-2], [10], [4], [4], [0], [-12], [-6], [14], [2], [10], [-4], [0], [1], [2], [8], [-4], [-8], [8], [0], [12], [1], [-4], [-10], [-2], [6], [0], [4], [4], [-1], [-11], [-4], [2], [0], [8], [4], [12], [-4], [-8], [-1], [0], [-4], [8], [-4], [-6], [-2], [0], [0], [-4], [1]]}