# Stored data for newform 4851.2.a.bd, downloaded from the LMFDB on 25 April 2024.
{"label": "4851.2.a.bd", "space_label": "4851.2.a", "level": 4851, "weight": 2, "hecke_orbit": 30, "hecke_orbit_code": 130604389227303667, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 1565938251734314234, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, -2, 1]], [5, [2, 1]], [13, [-4, 4, 1]], [17, [7, 6, 1]]], "qexp_display": "q+(1+\\beta )q^{2}+(1+2\\beta )q^{4}-2q^{5}+(3+\\cdots)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": 8, "field_poly_is_real_cyclotomic": true, "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": "0.022", "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": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.881", "prec": 17}, {"__RealLiteral__": 0, "data": "0.190", "prec": 17}, {"__RealLiteral__": 0, "data": "8.576", "prec": 17}, {"__RealLiteral__": 0, "data": "1.817", "prec": 17}, {"__RealLiteral__": 0, "data": "54.160", "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": [2, 0, -4, 0], "traces": [0, 2, 2, 0, 2, -4, 0, 0, 6, 0, -4, -2, 0, -4, 0, 0, 6, -6, 0, -6, -4, 0, -2, 14, 0, -2, 4, 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