# Stored data for newform 9744.2.a.l, downloaded from the LMFDB on 18 April 2024.
{"label": "9744.2.a.l", "space_label": "9744.2.a", "level": 9744, "weight": 2, "hecke_orbit": 12, "hecke_orbit_code": 49539595934639632, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1041126395243146346, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [2, 1]], [11, [4, 1]], [13, [2, 1]], [17, [-2, 1]], [23, [0, 1]]], "qexp_display": "q+q^{3}-2q^{5}-q^{7}+q^{9}-4q^{11}-2q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 38976, "fricke_eigenval": -1, "atkin_lehner_string": "--+-", "analytic_conductor": 77.80623172953561, "hecke_ring_index": 1, "level_radical": 1218, "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": "0.019", "prec": 17}, "analytic_rank_proved": true, "char_values": [9744, 1, [8527, 2437, 6497, 6961, 4033], [1, 1, 1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 7, 29], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.049", "prec": 17}, {"__RealLiteral__": 0, "data": "1.008", "prec": 17}, {"__RealLiteral__": 0, "data": "0.114", "prec": 17}, {"__RealLiteral__": 0, "data": "2.040", "prec": 17}, {"__RealLiteral__": 0, "data": "0.338", "prec": 17}, {"__RealLiteral__": 0, "data": "5.148", "prec": 17}], "related_objects": ["EllipticCurve/Q/9744/l"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [7, 1], [29, -1]], "trace_display": [0, 1, -2, -1], "traces": [0, 1, 0, 1, 0, -2, 0, -1, 0, 1, 0, -4, 0, -2, 0, -2, 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