# Stored data for newform 1005.2.a.a, downloaded from the LMFDB on 25 April 2024.
{"label": "1005.2.a.a", "space_label": "1005.2.a", "level": 1005, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 33555437, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1737551671517798742, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [0, 1]]], "qexp_display": "q+q^{3}-2q^{4}-q^{5}+2q^{7}+q^{9}-6q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 4020, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 8.024965403138678, "hecke_ring_index": 1, "level_radical": 1005, "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": "0.016", "prec": 17}, "analytic_rank_proved": true, "char_values": [1005, 1, [671, 202, 136], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 5, 67], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.985", "prec": 17}, {"__RealLiteral__": 0, "data": "0.041", "prec": 17}, {"__RealLiteral__": 0, "data": "1.947", "prec": 17}, {"__RealLiteral__": 0, "data": "0.115", "prec": 17}, {"__RealLiteral__": 0, "data": "4.864", "prec": 17}], "related_objects": ["EllipticCurve/Q/1005/a"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1], [67, -1]], "trace_display": [0, 1, -1, 2], "traces": [0, 1, 0, 1, -2, -1, 0, 2, 0, 1, 0, -6, -2, 2, 0, -1, 4, -3, 0, -1, 2, 2, 0, -9, 0, 1, 0, 1, -4, 3, 0, -4, 0, -6, 0, -2, -2, -7, 0, 2, 0, 6, 0, -10, 12, -1, 0, 9, 4, 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