# Stored data for newform 2738.2.a.i, downloaded from the LMFDB on 09 December 2023.
{"label": "2738.2.a.i", "space_label": "2738.2.a", "level": 2738, "weight": 2, "hecke_orbit": 9, "hecke_orbit_code": 36028797052521138, "dim": 2, "is_polredabs": true, "nf_label": "2.2.12.1", "trace_hash": 2080096576553635655, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-2, 2, 1]], [5, [-3, 0, 1]], [7, [2, 1]], [13, [-12, 0, 1]], [17, [33, 12, 1]]], "qexp_display": "q+q^{2}+(-1+\\beta )q^{3}+q^{4}-\\beta q^{5}+(-1+\\cdots)q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 10952, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 21.863040073426568, "hecke_ring_index": 1, "level_radical": 74, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 12, "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": "0.039", "prec": 17}, "analytic_rank_proved": true, "char_values": [2738, 1, [1371], [1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 37], "conrey_indexes": [1], "field_disc": 12, "field_disc_factorization": [[2, 2], [3, 1]], "field_poly": [-3, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.929", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.961", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "59.100", "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], [37, -1]], "trace_display": [2, -2, 0, -4], "traces": [0, 2, 2, -2, 2, 0, -2, -4, 2, 2, 0, 6, -2, 0, -4, -6, 2, -12, 2, 6, 0, 4, 6, -6, -2, 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