# Stored data for newform 245.6.a.l, downloaded from the LMFDB on 19 April 2024.
{"label": "245.6.a.l", "space_label": "245.6.a", "level": 245, "weight": 6, "hecke_orbit": 12, "hecke_orbit_code": 49539596001738997, "dim": 10, "is_polredabs": true, "trace_hash": 2063514400652656139, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-10686592, -16621440, 2127024, 2639600, -230996, -129840, 12314, 2040, -201, -10, 1]], [3, [-12031198596, -23098421592, -11335365576, -285902184, 168931223, 9277842, -571489, -44916, 117, 58, 1]]], "qexp_display": "q+(1-\\beta _{1})q^{2}+(-6+\\beta _{3})q^{3}+(18-\\beta _{1}+\\cdots)q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 8820, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 39.29403585418026, "hecke_ring_index": 134456, "level_radical": 35, "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": 0, "analytic_rank_proved": true, "char_values": [245, 1, [197, 101], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [5, 7], "conrey_indexes": [1], "field_disc": 11491181147197503512432640000, "field_disc_factorization": [[2, 15], [3, 2], [5, 4], [31, 1], [5231, 1], [384455249517457, 1]], "field_poly": [-22888100, 5935300, 7583055, -722920, -639206, 25380, 20336, -192, -246, 0, 1], "hecke_ring_index_factorization": [[2, 3], [7, 5]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.531", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "206.551", "prec": 24}, {"__RealLiteral__": 0, "data": "85.360", "prec": 20}, {"__RealLiteral__": 0, "data": "8052.549", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], 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