# Stored data for newform 8470.2.a.cx, downloaded from the LMFDB on 28 March 2024. {"label": "8470.2.a.cx", "space_label": "8470.2.a", "level": 8470, "weight": 2, "hecke_orbit": 76, "hecke_orbit_code": 337769972086350102, "dim": 6, "is_polredabs": true, "nf_label": "6.6.745749504.1", "trace_hash": 626887272539445969, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-44, -36, 81, 4, -18, 0, 1]], [13, [-956, 168, 441, -8, -42, 0, 1]], [17, [-716, -1416, -48, 352, -51, -6, 1]], [19, [-143, 216, 99, -104, -45, 0, 1]]], "qexp_display": "q-q^{2}-\\beta _{1}q^{3}+q^{4}-q^{5}+\\beta _{1}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": "0.047", "prec": 17}, "analytic_rank_proved": true, "char_values": [8470, 1, [6777, 6051, 7141], [1, 1, 1]], "hecke_ring_generator_nbound": 19, "inner_twist_count": 1, "level_primes": [2, 5, 7, 11], "conrey_indexes": [1], "field_disc": 745749504, "field_disc_factorization": [[2, 10], [3, 9], [37, 1]], "field_poly": [-44, 36, 81, -4, -18, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.121", "prec": 17}, {"__RealLiteral__": 0, "data": "5.315", "prec": 17}, {"__RealLiteral__": 0, "data": "1.532", "prec": 17}, {"__RealLiteral__": 0, "data": "79.447", "prec": 20}, {"__RealLiteral__": 0, "data": "39.249", "prec": 20}, {"__RealLiteral__": 0, "data": "1849.846", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], 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