# Stored data for newform 4851.2.a.ba, downloaded from the LMFDB on 20 April 2024.
{"label": "4851.2.a.ba", "space_label": "4851.2.a", "level": 4851, "weight": 2, "hecke_orbit": 27, "hecke_orbit_code": 117093590345192179, "dim": 2, "is_polredabs": true, "nf_label": "2.2.21.1", "trace_hash": 446483293318043366, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-5, -1, 1]], [5, [-3, 1]], [13, [1, 1]], [17, [-12, -6, 1]]], "qexp_display": "q+\\beta q^{2}+(3+\\beta )q^{4}+3q^{5}+(5+2\\beta )q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 19404, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 38.73543002052311, "hecke_ring_index": 1, "level_radical": 231, "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": "0.019", "prec": 17}, "analytic_rank_proved": true, "char_values": [4851, 1, [4313, 199, 442], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 7, 11], "conrey_indexes": [1], "field_disc": 21, "field_disc_factorization": [[3, 1], [7, 1]], "field_poly": [-5, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.916", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.905", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "58.080", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [7, -1], [11, -1]], "trace_display": [1, 0, 6, 0], "traces": [0, 2, 1, 0, 7, 6, 0, 0, 12, 0, 3, 2, 0, -2, 0, 0, 13, 6, 0, 4, 21, 0, 1, 2, 0, 8, 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