# Stored data for newform 8470.2.a.cm, downloaded from the LMFDB on 19 April 2024.
{"label": "8470.2.a.cm", "space_label": "8470.2.a", "level": 8470, "weight": 2, "hecke_orbit": 65, "hecke_orbit_code": 288230376185274646, "dim": 3, "is_polredabs": true, "nf_label": "3.3.733.1", "trace_hash": 549614552296683614, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [14, -9, -2, 1]], [13, [-50, -19, 4, 1]], [17, [4, -10, 1, 1]], [19, [-49, -37, -3, 1]]], "qexp_display": "q+q^{2}+(1-\\beta _{1})q^{3}+q^{4}+q^{5}+(1-\\beta _{1}+\\cdots)q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 33880, "fricke_eigenval": -1, "atkin_lehner_string": "--+-", "analytic_conductor": 67.63329051202449, "hecke_ring_index": 2, "level_radical": 770, "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": "0.004", "prec": 17}, "analytic_rank_proved": true, "char_values": [8470, 1, [6777, 6051, 7141], [1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 7, 11], "conrey_indexes": [1], "field_disc": 733, "field_disc_factorization": [[733, 1]], "field_poly": [8, -7, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.039", "prec": 17}, {"__RealLiteral__": 0, "data": "2.785", "prec": 17}, {"__RealLiteral__": 0, "data": "0.651", "prec": 17}, {"__RealLiteral__": 0, "data": "20.976", "prec": 20}, {"__RealLiteral__": 0, "data": "10.347", "prec": 20}, {"__RealLiteral__": 0, "data": "239.661", "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], [5, -1], [7, 1], [11, -1]], "trace_display": [3, 2, 3, -3], "traces": [0, 3, 3, 2, 3, 3, 2, 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