# Stored data for newform 418.2.a.a, downloaded from the LMFDB on 19 April 2024.
{"label": "418.2.a.a", "space_label": "418.2.a", "level": 418, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 33554850, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 995550746701254515, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [1, 1]]], "qexp_display": "q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{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": 1672, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 3.33774680448952, "hecke_ring_index": 1, "level_radical": 418, "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": "0.012", "prec": 17}, "analytic_rank_proved": true, "char_values": [418, 1, [343, 287], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 11, 19], "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": "0.999", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.967", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.843", "prec": 17}], "related_objects": ["EllipticCurve/Q/418/a"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [11, 1], [19, -1]], "trace_display": [1, -1, -2, -3], "traces": [0, 1, 1, -1, 1, -2, -1, -3, 1, -2, -2, -1, -1, 1, -3, 2, 1, -7, -2, 1, -2, 3, -1, -5, -1, -1, 1, 5, -3, 1, 2, 10, 1, 1, -7, 6, -2, -6, 1, -1, -2, 6, 3, -4, -1, 4, -5, 0, -1, 2, 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"minimal_twist": "418.2.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], [-2], [-1], [-3], [1], [-2], [-2], [-1], [-1], [1], [-3], [2], [1], [-7], [-2], [1], [-2], [3], [-1], [-5], [-1], [-1], [1], [5], [-3], [1], [2], [10], [1], [1], [-7], [6], [-2], [-6], [1], [-1], [-2], [6], [3], [-4], [-1], [4], [-5], [0], [-1], [2], [-1], [7], [1], [-1], [5], [2], [-3], [-1], [1], [3], [2], [-12], [10], [6], [1], [-2], [1], [3], [-7], [5], [6], [-10], [-2], [3], [-6], [1], [1], [3], [-1], [8], [-2], [1], [6], [8], [3], [14], [-4], [-1], [-1], [-8], [4], [-3], [-5], [-10], [0], [-2], [-1], [8], [2], [2], [-1]]}