# Stored data for newform 1001.2.a.b, downloaded from the LMFDB on 25 April 2024.
{"label": "1001.2.a.b", "space_label": "1001.2.a", "level": 1001, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503599660925929, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2194321714450222954, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [1, 1]], [3, [0, 1]]], "qexp_display": "q-q^{2}-q^{4}-2q^{5}-q^{7}+3q^{8}-3q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 4004, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 7.993025242330167, "hecke_ring_index": 1, "level_radical": 1001, "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": [1001, 1, [430, 365, 925], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [7, 11, 13], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.021", "prec": 17}, {"__RealLiteral__": 0, "data": "1.023", "prec": 17}, {"__RealLiteral__": 0, "data": "0.082", "prec": 17}, {"__RealLiteral__": 0, "data": "2.007", "prec": 17}, {"__RealLiteral__": 0, "data": "0.255", "prec": 17}, {"__RealLiteral__": 0, "data": "4.915", "prec": 17}], "related_objects": ["EllipticCurve/Q/1001/b"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[7, 1], [11, -1], [13, 1]], "trace_display": [-1, 0, -2, -1], "traces": [0, 1, -1, 0, -1, -2, 0, -1, 3, -3, 2, 1, 0, -1, 1, 0, -1, -2, 3, -4, 2, 0, -1, 0, 0, -1, 1, 0, 1, 6, 0, -4, -5, 0, 2, 2, 3, 6, 4, 0, -6, 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