# Stored data for newform 1045.2.a.e, downloaded from the LMFDB on 19 April 2024.
{"label": "1045.2.a.e", "space_label": "1045.2.a", "level": 1045, "weight": 2, "hecke_orbit": 5, "hecke_orbit_code": 18014398543037461, "dim": 5, "is_polredabs": true, "nf_label": "5.5.36497.1", "trace_hash": 1940188357583965578, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [3, 4, -5, -5, 1, 1]]], "qexp_display": "q+\\beta _{4}q^{2}+(-1+\\beta _{1})q^{3}+\\beta _{3}q^{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": 4180, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 8.3443670112238, "hecke_ring_index": 1, "level_radical": 1045, "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": "0.009", "prec": 17}, "analytic_rank_proved": true, "char_values": [1045, 1, [837, 761, 496], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5, 11, 19], "conrey_indexes": [1], "field_disc": 36497, "field_disc_factorization": [[36497, 1]], "field_poly": [-1, 1, 5, -3, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.953", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "71.708", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1596.737", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [11, -1], [19, -1]], "trace_display": [-1, -3, -5, 3], "traces": [0, 5, -1, -3, 1, -5, -4, 3, 3, -4, 1, 5, 3, -3, 2, 3, -11, -11, 3, 5, -1, -3, -1, 0, 5, 5, -8, 0, 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