# Stored data for newform 1725.2.a.y, downloaded from the LMFDB on 23 April 2024. {"label": "1725.2.a.y", "space_label": "1725.2.a", "level": 1725, "weight": 2, "hecke_orbit": 25, "hecke_orbit_code": 108086391090448061, "dim": 2, "is_polredabs": true, "nf_label": "2.2.24.1", "trace_hash": 1765188341180179823, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-6, 0, 1]], [7, [-1, 1]], [11, [-6, 0, 1]]], "qexp_display": "q+\\beta q^{2}-q^{3}+4q^{4}-\\beta q^{6}+q^{7}+2\\beta q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 6900, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 13.774194348670866, "hecke_ring_index": 1, "level_radical": 345, "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": "0.018", "prec": 17}, "analytic_rank_proved": true, "char_values": [1725, 1, [1151, 277, 1201], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 23], "conrey_indexes": [1], "field_disc": 24, "field_disc_factorization": [[2, 3], [3, 1]], "field_poly": [-6, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.016", "prec": 17}, {"__RealLiteral__": 0, "data": "1.889", "prec": 17}, {"__RealLiteral__": 0, "data": "0.013", "prec": 17}, {"__RealLiteral__": 0, "data": "8.733", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "56.175", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, 1], [23, -1]], "trace_display": [0, -2, 0, 2], "traces": [0, 2, 0, -2, 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