# Stored data for newform 102.2.a.c, downloaded from the LMFDB on 25 April 2024.
{"label": "102.2.a.c", "space_label": "102.2.a", "level": 102, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007199288295526, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2057986112349787613, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [2, 1]]], "qexp_display": "q+q^{2}+q^{3}+q^{4}-2q^{5}+q^{6}+q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 408, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 0.8144741006170599, "hecke_ring_index": 1, "level_radical": 102, "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": "0.016", "prec": 17}, "analytic_rank_proved": true, "char_values": [102, 1, [35, 37], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 17], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.007", "prec": 17}, {"__RealLiteral__": 0, "data": "0.958", "prec": 17}, {"__RealLiteral__": 0, "data": "0.016", "prec": 17}, {"__RealLiteral__": 0, "data": "1.854", "prec": 17}, {"__RealLiteral__": 0, "data": "0.032", "prec": 17}, {"__RealLiteral__": 0, "data": "4.490", "prec": 17}], "related_objects": ["EllipticCurve/Q/102/c"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [17, -1]], "trace_display": [1, 1, -2, 0], "traces": [0, 1, 1, 1, 1, -2, 1, 0, 1, 1, -2, -4, 1, -2, 0, -2, 1, 1, 1, 4, -2, 0, -4, 0, 1, -1, -2, 1, 0, -10, -2, 8, 1, -4, 1, 0, 1, -2, 4, -2, -2, 10, 0, 12, -4, -2, 0, 0, 1, -7, -1, 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"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], [0], [1], [1], [-2], [-4], [1], [-2], [0], [-2], [1], [1], [1], [4], [-2], [0], [-4], [0], [1], [-1], [-2], [1], [0], [-10], [-2], [8], [1], [-4], [1], [0], [1], [-2], [4], [-2], [-2], [10], [0], [12], [-4], [-2], [0], [0], [1], [-7], [-1], [1], [-2], [6], [1], [8], [0], [4], [-10], [12], [-2], [-10], [8], [0], [1], [4], [-4], [-12], [1], [0], [0], [0], [1], [10], [-2], [-1], [4], [0], [-2], [-8], [-2], [1], [10], [4], [0], [-2], [12], [-10], [-4], [-6], [-2], [0], [0], [8], [0], [-8], [1], [-14], [-7], [-4], [-1]]}