# Stored data for newform 4851.2.a.ca, downloaded from the LMFDB on 16 May 2024.
{"label": "4851.2.a.ca", "space_label": "4851.2.a", "level": 4851, "weight": 2, "hecke_orbit": 53, "hecke_orbit_code": 234187180656825075, "dim": 5, "is_polredabs": true, "nf_label": "5.5.3676752.1", "trace_hash": 1770491269646321638, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [10, 11, -14, -8, 2, 1]], [5, [-32, 20, 28, -8, -4, 1]], [13, [476, 524, 80, -38, -5, 1]], [17, [10, 11, -14, -8, 2, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+(2+\\beta _{2})q^{4}+(1-\\beta _{4})q^{5}+\\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": "0.008", "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": 3676752, "field_disc_factorization": [[2, 4], [3, 4], [2837, 1]], "field_poly": [-10, 11, 14, -8, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.068", "prec": 17}, {"__RealLiteral__": 0, "data": "4.552", "prec": 17}, {"__RealLiteral__": 0, "data": "0.571", "prec": 17}, {"__RealLiteral__": 0, "data": "57.766", "prec": 20}, {"__RealLiteral__": 0, "data": "6.093", "prec": 17}, {"__RealLiteral__": 0, "data": "1098.207", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [7, 1], [11, 1]], "trace_display": [-2, 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