# Stored data for newform 57.2.a.b, downloaded from the LMFDB on 24 April 2024.
{"label": "57.2.a.b", "space_label": "57.2.a", "level": 57, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503599660924985, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 27661726142936421, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [2, 1]], [5, [-1, 1]]], "qexp_display": "q-2q^{2}+q^{3}+2q^{4}+q^{5}-2q^{6}+3q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 228, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 0.4551472915212982, "hecke_ring_index": 1, "level_radical": 57, "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": "0.017", "prec": 17}, "analytic_rank_proved": true, "char_values": [57, 1, [20, 40], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 19], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.008", "prec": 17}, {"__RealLiteral__": 0, "data": "0.989", "prec": 17}, {"__RealLiteral__": 0, "data": "0.024", "prec": 17}, {"__RealLiteral__": 0, "data": "1.982", "prec": 17}, {"__RealLiteral__": 0, "data": "0.072", "prec": 17}, {"__RealLiteral__": 0, "data": "4.961", "prec": 17}], "related_objects": ["EllipticCurve/Q/57/b"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [19, 1]], "trace_display": [-2, 1, 1, 3], "traces": [0, 1, -2, 1, 2, 1, -2, 3, 0, 1, -2, -3, 2, -6, -6, 1, -4, 3, -2, -1, 2, 3, 6, 4, 0, -4, 12, 1, 6, -10, -2, 2, 8, -3, -6, 3, 2, 8, 2, -6, 0, -8, -6, -1, -6, 1, -8, 3, 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"minimal_twist": "57.2.a.b", "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], [-2], [1], [2], [1], [-2], [3], [0], [1], [-2], [-3], [2], [-6], [-6], [1], [-4], [3], [-2], [-1], [2], [3], [6], [4], [0], [-4], [12], [1], [6], [-10], [-2], [2], [8], [-3], [-6], [3], [2], [8], [2], [-6], [0], [-8], [-6], [-1], [-6], [1], [-8], [3], [-4], [2], [8], [3], [-12], [-6], [-2], [-3], [0], [-1], [20], [0], [2], [7], [-4], [3], [-8], [-6], [6], [8], [6], [4], [-6], [12], [0], [-11], [-16], [-4], [-2], [-9], [12], [0], [-4], [1], [16], [4], [6], [3], [2], [-10], [0], [10], [-2], [-18], [8], [2], [-6], [-1], [8], [-2], [-4], [-3], [-8]]}