# Stored data for newform 2496.4.a.bc, downloaded from the LMFDB on 24 April 2024.
{"label": "2496.4.a.bc", "space_label": "2496.4.a", "level": 2496, "weight": 4, "hecke_orbit": 29, "hecke_orbit_code": 126100789633485248, "dim": 2, "is_polredabs": true, "nf_label": "2.2.56.1", "trace_hash": 594573471493743464, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [88, 24, 1]], [7, [-56, 0, 1]], [11, [-1532, -44, 1]]], "qexp_display": "q+3q^{3}+(-12+\\beta )q^{5}-\\beta q^{7}+9q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 39936, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 147.26876737432858, "hecke_ring_index": 2, "level_radical": 78, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [2496, 1, [703, 1093, 833, 769], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 13], "conrey_indexes": [1], "field_disc": 56, "field_disc_factorization": [[2, 3], [7, 1]], "field_poly": [-14, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.904", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.417", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "66.473", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [13, -1]], "trace_display": [0, 6, -24, 0], "traces": [0, 2, 0, 6, 0, -24, 0, 0, 0, 18, 0, 44, 0, 26, 0, -72, 0, 164, 0, -48, 0, 0, 0, 8, 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