# Stored data for newform 950.2.a.c, downloaded from the LMFDB on 25 April 2024.
{"label": "950.2.a.c", "space_label": "950.2.a", "level": 950, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007199288296374, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1786778253788214500, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-3, 1]], [7, [-5, 1]], [11, [4, 1]]], "qexp_display": "q-q^{2}+3q^{3}+q^{4}-3q^{6}+5q^{7}-q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 3800, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 7.585788192021637, "hecke_ring_index": 1, "level_radical": 190, "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": [950, 1, [77, 401], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 5, 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": "1.013", "prec": 17}, {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, {"__RealLiteral__": 0, "data": "2.028", "prec": 17}, {"__RealLiteral__": 0, "data": "0.028", "prec": 17}, {"__RealLiteral__": 0, "data": "5.079", "prec": 17}], "related_objects": ["EllipticCurve/Q/950/c"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, 1], [19, -1]], "trace_display": [-1, 3, 0, 5], "traces": [0, 1, -1, 3, 1, 0, -3, 5, -1, 6, 0, -4, 3, 1, -5, 0, 1, 3, -6, 1, 0, 15, 4, -7, -3, 0, -1, 9, 5, -3, 0, -2, -1, -12, -3, 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"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], [0], [-3], [5], [-1], [6], [0], [-4], [3], [1], [-5], [0], [1], [3], [-6], [1], [0], [15], [4], [-7], [-3], [0], [-1], [9], [5], [-3], [0], [-2], [-1], [-12], [-3], [0], [6], [2], [-1], [3], [0], [-6], [-15], [-6], [-4], [0], [7], [0], [3], [18], [0], [9], [1], [13], [-9], [0], [-5], [3], [3], [-9], [0], [-12], [2], [30], [1], [0], [12], [3], [3], [-21], [0], [0], [-6], [-11], [-2], [0], [1], [-20], [-3], [-2], [0], [9], [6], [10], [15], [0], [6], [-9], [4], [2], [0], [5], [-7], [-6], [0], [0], [-3], [2], [-18], [-24], [0]]}