# Stored data for newform 8550.2.a.ce, downloaded from the LMFDB on 29 March 2024. {"label": "8550.2.a.ce", "space_label": "8550.2.a", "level": 8550, "weight": 2, "hecke_orbit": 57, "hecke_orbit_code": 252201579166310758, "dim": 3, "is_polredabs": true, "nf_label": "3.3.148.1", "trace_hash": 1259695063084480714, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [16, -16, 0, 1]], [11, [-16, 8, 8, 1]], [13, [32, -16, -4, 1]], [17, [-8, -20, 2, 1]], [23, [16, 8, -8, 1]], [53, [-6, 1]]], "qexp_display": "q-q^{2}+q^{4}+\\beta _{2}q^{7}-q^{8}+(-3-\\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": 34200, "fricke_eigenval": -1, "atkin_lehner_string": "+---", "analytic_conductor": 68.27209372819473, "hecke_ring_index": 4, "level_radical": 570, "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": "0.017", "prec": 17}, "analytic_rank_proved": true, "char_values": [8550, 1, [1901, 1027, 1351], [1, 1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 3, 5, 19], "conrey_indexes": [1], "field_disc": 148, "field_disc_factorization": [[2, 2], [37, 1]], "field_poly": [1, -3, -1, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.031", "prec": 17}, {"__RealLiteral__": 0, "data": "2.789", "prec": 17}, {"__RealLiteral__": 0, "data": "0.338", "prec": 17}, {"__RealLiteral__": 0, "data": "21.842", "prec": 20}, {"__RealLiteral__": 0, "data": "6.799", "prec": 17}, {"__RealLiteral__": 0, "data": "265.739", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": 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