# Stored data for newform 201.2.a.c, downloaded from the LMFDB on 20 April 2024.
{"label": "201.2.a.c", "space_label": "201.2.a", "level": 201, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007199288295625, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2011662821673192482, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-1, 1]]], "qexp_display": "q+q^{2}-q^{3}-q^{4}-3q^{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": 804, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 1.6049930806277357, "hecke_ring_index": 1, "level_radical": 201, "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": "0.015", "prec": 17}, "analytic_rank_proved": true, "char_values": [201, 1, [68, 136], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 67], "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": "0.957", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.870", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.621", "prec": 17}], "related_objects": ["EllipticCurve/Q/201/c"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [67, 1]], "trace_display": [1, -1, -3, -3], "traces": [0, 1, 1, -1, -1, -3, -1, -3, -3, 1, -3, 0, 1, 4, -3, 3, -1, 2, 1, -2, 3, 3, 0, -7, 3, 4, 4, -1, 3, -8, 3, -1, 5, 0, 2, 9, -1, -3, -2, -4, 9, -9, 3, 9, 0, -3, -7, 0, 1, 2, 4, -2, -4, 1, 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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], [-1], [-1], [-3], [-1], [-3], [-3], [1], [-3], [0], [1], [4], [-3], [3], [-1], [2], [1], [-2], [3], [3], [0], [-7], [3], [4], [4], [-1], [3], [-8], [3], [-1], [5], [0], [2], [9], [-1], [-3], [-2], [-4], [9], [-9], [3], [9], [0], [-3], [-7], [0], [1], [2], [4], [-2], [-4], [1], [-1], [0], [9], [2], [-8], [-9], [-3], [14], [-1], [-3], [7], [-12], [0], [-1], [-2], [7], [9], [-4], [-3], [11], [-3], [-4], [2], [0], [-4], [-16], [3], [1], [-9], [5], [-3], [-6], [9], [8], [0], [0], [-3], [-12], [7], [1], [0], [6], [-5], [16], [2], [0], [-4]]}