# Stored data for newform 2898.2.a.be, downloaded from the LMFDB on 19 April 2024.
{"label": "2898.2.a.be", "space_label": "2898.2.a", "level": 2898, "weight": 2, "hecke_orbit": 31, "hecke_orbit_code": 135107988854672210, "dim": 3, "is_polredabs": true, "nf_label": "3.3.316.1", "trace_hash": 302776863983544524, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [-4, -2, 4, 1]], [11, [16, -12, -4, 1]], [13, [16, -16, -2, 1]]], "qexp_display": "q-q^{2}+q^{4}+(-1+\\beta _{2})q^{5}-q^{7}-q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 11592, "fricke_eigenval": 1, "atkin_lehner_string": "+-+-", "analytic_conductor": 23.140646505767055, "hecke_ring_index": 2, "level_radical": 966, "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": "0.012", "prec": 17}, "analytic_rank_proved": true, "char_values": [2898, 1, [1289, 829, 1891], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 7, 23], "conrey_indexes": [1], "field_disc": 316, "field_disc_factorization": [[2, 2], [79, 1]], "field_poly": [2, -4, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.856", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "20.886", "prec": 20}, {"__RealLiteral__": 0, "data": "4.921", "prec": 17}, {"__RealLiteral__": 0, "data": "225.424", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [7, 1], [23, -1]], "trace_display": [-3, 0, -4, -3], "traces": [0, 3, -3, 0, 3, -4, 0, -3, -3, 0, 4, 4, 0, 2, 3, 0, 3, -8, 0, 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