# Stored data for newform 2160.4.a.bm, downloaded from the LMFDB on 29 March 2024. {"label": "2160.4.a.bm", "space_label": "2160.4.a", "level": 2160, "weight": 4, "hecke_orbit": 39, "hecke_orbit_code": 171136785907189872, "dim": 3, "is_polredabs": true, "nf_label": "3.3.5637.1", "trace_hash": 596752052471085455, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [1800, 552, 44, 1]], [11, [-83280, -2612, 38, 1]]], "qexp_display": "q+5q^{5}+(-15-\\beta _{1})q^{7}+(-12+\\beta _{1}+\\cdots)q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 34560, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 127.44412561239973, "hecke_ring_index": 24, "level_radical": 30, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [2160, 1, [271, 1621, 2081, 1297], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 3, 5], "conrey_indexes": [1], "field_disc": 5637, "field_disc_factorization": [[3, 1], [1879, 1]], "field_poly": [6, -23, -1, 1], "hecke_ring_index_factorization": [[2, 3], [3, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.040", "prec": 17}, {"__RealLiteral__": 0, "data": "2.876", "prec": 17}, {"__RealLiteral__": 0, "data": "0.194", "prec": 17}, {"__RealLiteral__": 0, "data": "22.062", "prec": 20}, {"__RealLiteral__": 0, "data": "1.624", "prec": 17}, {"__RealLiteral__": 0, "data": "249.916", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [5, -1]], 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