# Stored data for newform 2736.2.a.y, downloaded from the LMFDB on 28 March 2024. {"label": "2736.2.a.y", "space_label": "2736.2.a", "level": 2736, "weight": 2, "hecke_orbit": 25, "hecke_orbit_code": 108086391090449072, "dim": 2, "is_polredabs": true, "nf_label": "2.2.33.1", "trace_hash": 1535256562110654264, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [-6, 3, 1]], [7, [-8, 1, 1]], [11, [-6, 3, 1]], [13, [-2, 1]]], "qexp_display": "q+(-1-\\beta )q^{5}+(-1+\\beta )q^{7}+(-1+\\cdots)q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 10944, "fricke_eigenval": 1, "atkin_lehner_string": "--+", "analytic_conductor": 21.847069993022313, "hecke_ring_index": 1, "level_radical": 114, "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": "0.018", "prec": 17}, "analytic_rank_proved": true, "char_values": [2736, 1, [1711, 2053, 1217, 1009], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 19], "conrey_indexes": [1], "field_disc": 33, "field_disc_factorization": [[3, 1], [11, 1]], "field_poly": [-8, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.996", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.296", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "59.286", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [19, 1]], "trace_display": 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