# Stored data for newform 2151.2.a.h, downloaded from the LMFDB on 24 April 2024.
{"label": "2151.2.a.h", "space_label": "2151.2.a", "level": 2151, "weight": 2, "hecke_orbit": 8, "hecke_orbit_code": 31525197425150055, "dim": 12, "is_polredabs": true, "trace_hash": 27277353258551644, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-31, -88, 129, 479, 23, -571, -134, 256, 75, -47, -15, 3, 1]], [5, [1520, 2064, -6360, -3384, 7563, 1629, -3247, -339, 546, 31, -39, -1, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+\\beta _{9}q^{5}+(1+\\beta _{8}+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 8604, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 17.17582147477741, "hecke_ring_index": 16, "level_radical": 717, "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": "0.005", "prec": 17}, "analytic_rank_proved": true, "char_values": [2151, 1, [479, 1441], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [3, 239], "conrey_indexes": [1], "field_disc": 9174706726520876656, "field_disc_factorization": [[2, 4], [67, 1], [38791, 1], [220630947403, 1]], "field_poly": [-31, 88, 129, -479, 23, 571, -134, -256, 75, 47, -15, -3, 1], "hecke_ring_index_factorization": [[2, 4]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.157", "prec": 17}, {"__RealLiteral__": 0, "data": "10.291", "prec": 20}, {"__RealLiteral__": 0, "data": "2.547", "prec": 17}, {"__RealLiteral__": 0, "data": "340.401", "prec": 24}, {"__RealLiteral__": 0, "data": "87.297", "prec": 20}, {"__RealLiteral__": 0, "data": "18679.679", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 12, "sato_tate_group": "1.2.3.c1", 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