# Stored data for newform 1521.2.a.q, downloaded from the LMFDB on 23 April 2024. {"label": "1521.2.a.q", "space_label": "1521.2.a", "level": 1521, "weight": 2, "hecke_orbit": 17, "hecke_orbit_code": 72057594071483889, "dim": 3, "is_polredabs": true, "nf_label": "3.3.49.1", "trace_hash": 1618750580827005420, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [1, -2, -1, 1]], [5, [1, 3, -4, 1]], [7, [29, 31, 10, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+\\beta _{2}q^{4}+(2-\\beta _{1}+\\beta _{2})q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 6084, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 12.145246147436746, "hecke_ring_index": 1, "level_radical": 39, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 14, "field_poly_is_real_cyclotomic": true, "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": "0.008", "prec": 17}, "analytic_rank_proved": true, "char_values": [1521, 1, [677, 847], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 13], "conrey_indexes": [1], "field_disc": 49, "field_disc_factorization": [[7, 2]], "field_poly": [1, -2, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.810", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "20.499", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "215.915", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [13, -1]], "trace_display": [1, 0, 4, -10], "traces": [0, 3, 1, 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