# Stored data for newform 121.12.a.b, downloaded from the LMFDB on 20 April 2024.
{"label": "121.12.a.b", "space_label": "121.12.a", "level": 121, "weight": 12, "hecke_orbit": 2, "hecke_orbit_code": 4503599828697209, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2047593086393240363, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-24, 1]]], "qexp_display": "q+24q^{2}+252q^{3}-1472q^{4}+4830q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 17424, "fricke_eigenval": -1, "atkin_lehner_string": "-", "analytic_conductor": 92.96952484771026, "hecke_ring_index": 1, "level_radical": 11, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [121, 1, [2], [1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [11], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.977", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.916", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.684", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "11.2.3.c1", "atkin_lehner_eigenvals": [[11, -1]], "trace_display": [24, 252, 4830, 16744], "traces": [0, 1, 24, 252, -1472, 4830, 6048, 16744, -84480, -113643, 115920, 0, -370944, 577738, 401856, 1217160, 987136, 6905934, -2727432, -10661420, -7109760, 4219488, 0, 18643272, -21288960, -25499225, 13865712, 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