# Stored data for newform 2366.2.a.ba, downloaded from the LMFDB on 23 April 2024.
{"label": "2366.2.a.ba", "space_label": "2366.2.a", "level": 2366, "weight": 2, "hecke_orbit": 27, "hecke_orbit_code": 117093590345189694, "dim": 3, "is_polredabs": true, "nf_label": "3.3.49.1", "trace_hash": 855655337920895432, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [-1, 3, 4, 1]], [5, [1, -1, -2, 1]]], "qexp_display": "q+q^{2}+(-1-\\beta _{1})q^{3}+q^{4}+(\\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": 9464, "fricke_eigenval": 1, "atkin_lehner_string": "--+", "analytic_conductor": 18.89260511823494, "hecke_ring_index": 1, "level_radical": 182, "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": "0.005", "prec": 17}, "analytic_rank_proved": true, "char_values": [2366, 1, [339, 2199], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 7, 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": "2.972", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "23.587", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "271.054", "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], [7, -1], [13, 1]], "trace_display": [3, -4, 2, 3], "traces": [0, 3, 3, -4, 3, 2, -4, 3, 3, 1, 2, -11, -4, 0, 3, -5, 3, -2, 1, -13, 2, -4, -11, -7, -4, -9, 0, -1, 3, -3, -5, 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