# Stored data for newform 574.2.a.f, downloaded from the LMFDB on 20 April 2024.
{"label": "574.2.a.f", "space_label": "574.2.a", "level": 574, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22517998170407486, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 964345140554109827, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-3, 1]], [5, [1, 1]], [11, [-4, 1]]], "qexp_display": "q-q^{2}+3q^{3}+q^{4}-q^{5}-3q^{6}+q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 2296, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 4.583413076021494, "hecke_ring_index": 1, "level_radical": 574, "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": "0.010", "prec": 17}, "analytic_rank_proved": true, "char_values": [574, 1, [493, 211], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 7, 41], "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": "0.975", "prec": 17}, {"__RealLiteral__": 0, "data": "0.020", "prec": 17}, {"__RealLiteral__": 0, "data": "1.896", "prec": 17}, {"__RealLiteral__": 0, "data": "0.119", "prec": 17}, {"__RealLiteral__": 0, "data": "4.671", "prec": 17}], "related_objects": ["EllipticCurve/Q/574/f"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [7, -1], [41, 1]], "trace_display": [-1, 3, -1, 1], "traces": [0, 1, -1, 3, 1, -1, -3, 1, -1, 6, 1, 4, 3, -6, -1, -3, 1, 3, -6, 4, -1, 3, -4, 2, -3, -4, 6, 9, 1, 1, 3, 9, -1, 12, -3, -1, 6, -8, -4, -18, 1, 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"level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "574.2.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], [3], [1], [-1], [-3], [1], [-1], [6], [1], [4], [3], [-6], [-1], [-3], [1], [3], [-6], [4], [-1], [3], [-4], [2], [-3], [-4], [6], [9], [1], [1], [3], [9], [-1], [12], [-3], [-1], [6], [-8], [-4], [-18], [1], [-1], [-3], [-5], [4], [-6], [-2], [-6], [3], [1], [4], [9], [-6], [-3], [-9], [-4], [-1], [12], [-1], [14], [-3], [-11], [-9], [6], [1], [6], [-12], [-8], [3], [6], [1], [3], [-6], [-14], [8], [-12], [4], [4], [18], [7], [-1], [9], [1], [16], [3], [-3], [5], [3], [-4], [5], [6], [-6], [2], [27], [6], [-4], [-3], [1], [-1], [24], [-4]]}