# Stored data for newform 4010.2.a.f, downloaded from the LMFDB on 19 April 2024.
{"label": "4010.2.a.f", "space_label": "4010.2.a", "level": 4010, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22517998170410922, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 721654818060856448, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-2, 1]], [7, [-4, 1]], [11, [4, 1]]], "qexp_display": "q+q^{2}+2q^{3}+q^{4}+q^{5}+2q^{6}+4q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16040, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 32.02001121053343, "hecke_ring_index": 1, "level_radical": 4010, "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": "0.015", "prec": 17}, "analytic_rank_proved": true, "char_values": [4010, 1, [2407, 3211], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 5, 401], "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": "1.018", "prec": 17}, {"__RealLiteral__": 0, "data": "0.006", "prec": 17}, {"__RealLiteral__": 0, "data": "2.069", "prec": 17}, {"__RealLiteral__": 0, "data": "0.031", "prec": 17}, {"__RealLiteral__": 0, "data": "5.255", "prec": 17}], "related_objects": ["EllipticCurve/Q/4010/f"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, -1], [401, -1]], "trace_display": [1, 2, 1, 4], "traces": [0, 1, 1, 2, 1, 1, 2, 4, 1, 1, 1, -4, 2, 4, 4, 2, 1, -4, 1, 4, 1, 8, -4, 6, 2, 1, 4, -4, 4, -6, 2, 8, 1, -8, -4, 4, 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