# Stored data for newform 15.2.a.a, downloaded from the LMFDB on 19 April 2024.
{"label": "15.2.a.a", "space_label": "15.2.a", "level": 15, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 33554447, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 750292609497685491, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "qexp_display": "q-q^{2}-q^{3}-q^{4}+q^{5}+q^{6}+3q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 60, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 0.11977560303192057, "hecke_ring_index": 1, "level_radical": 15, "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": [15, 1, [11, 7], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 5], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.011", "prec": 17}, {"__RealLiteral__": 0, "data": "0.977", "prec": 17}, {"__RealLiteral__": 0, "data": "0.038", "prec": 17}, {"__RealLiteral__": 0, "data": "1.926", "prec": 17}, {"__RealLiteral__": 0, "data": "0.125", "prec": 17}, {"__RealLiteral__": 0, "data": "4.780", "prec": 17}], "related_objects": ["EllipticCurve/Q/15/a"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, -1]], "trace_display": [-1, -1, 1, 0], "traces": [0, 1, -1, -1, -1, 1, 1, 0, 3, 1, -1, -4, 1, -2, 0, -1, -1, 2, -1, 4, -1, 0, 4, 0, -3, 1, 2, -1, 0, -2, 1, 0, -5, 4, -2, 0, -1, -10, -4, 2, 3, 10, 0, 4, 4, 1, 0, 8, 1, -7, -1, -2, 2, -10, 1, -4, 0, -4, 2, -4, 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"projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0], [1], [-1], [-1], [-1], [1], [1], [0], [3], [1], [-1], [-4], [1], [-2], [0], [-1], [-1], [2], [-1], [4], [-1], [0], [4], [0], [-3], [1], [2], [-1], [0], [-2], [1], [0], [-5], [4], [-2], [0], [-1], [-10], [-4], [2], [3], [10], [0], [4], [4], [1], [0], [8], [1], [-7], [-1], [-2], [2], [-10], [1], [-4], [0], [-4], [2], [-4], [1], [-2], [0], [0], [7], [-2], [-4], [12], [-2], [0], [0], [-8], [3], [10], [10], [-1], [-4], [0], [-2], [0], [-1], [1], [-10], [12], [0], [2], [-4], [2], [-12], [-6], [-1], [0], [0], [0], [-8], [4], [5], [2], [7], [-4], [-1]]}