# Stored data for newform 2352.4.a.cm, downloaded from the LMFDB on 25 April 2024.
{"label": "2352.4.a.cm", "space_label": "2352.4.a", "level": 2352, "weight": 4, "hecke_orbit": 65, "hecke_orbit_code": 288230376218822960, "dim": 4, "is_polredabs": true, "trace_hash": 2063640686733296207, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-28, 256, -297, -4, 1]], [11, [5765844, -67916, -5395, 14, 1]]], "qexp_display": "q-3q^{3}+(1+\\beta _{1})q^{5}+9q^{9}+(-3-2\\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": 37632, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 138.77249233350193, "hecke_ring_index": 56, "level_radical": 42, "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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [2352, 1, [1471, 1765, 785, 2257], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 3, 7], "conrey_indexes": [1], "field_disc": 125394213, "field_disc_factorization": [[3, 1], [7, 1], [631, 1], [9463, 1]], "field_poly": [2922, -177, -152, -2, 1], "hecke_ring_index_factorization": [[2, 3], [7, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.912", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "44.089", "prec": 20}, {"__RealLiteral__": 0, "data": "5.372", "prec": 17}, {"__RealLiteral__": 0, "data": "771.922", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], [7, 1]], "trace_display": [0, -12, 4, 0], "traces": [0, 4, 0, -12, 0, 4, 0, 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