# Stored data for newform 1035.2.a.k, downloaded from the LMFDB on 24 April 2024.
{"label": "1035.2.a.k", "space_label": "1035.2.a", "level": 1035, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45035996307260427, "dim": 2, "is_polredabs": true, "nf_label": "2.2.24.1", "trace_hash": 2188774652316405139, "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}+4q^{4}+q^{5}-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": 4140, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 8.26451660920252, "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": [1035, 1, [461, 622, 856], [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": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.888", "prec": 17}, {"__RealLiteral__": 0, "data": "0.096", "prec": 17}, {"__RealLiteral__": 0, "data": "8.731", "prec": 17}, {"__RealLiteral__": 0, "data": "0.847", "prec": 17}, {"__RealLiteral__": 0, "data": "56.173", "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, 0, 2, -2], "traces": [0, 2, 0, 0, 8, 2, 0, -2, 0, 0, 0, 0, 0, 4, 0, 0, 8, 6, 0, 4, 8, 0, -12, 2, 0, 2, 12, 0, -8, -6, 0, 10, 0, 0, 12, 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