# Stored data for newform 4010.2.a.d, downloaded from the LMFDB on 24 April 2024.
{"label": "4010.2.a.d", "space_label": "4010.2.a", "level": 4010, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13510798915669930, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1680483678255231535, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-3, 1]], [7, [-1, 1]], [11, [-5, 1]]], "qexp_display": "q-q^{2}+3q^{3}+q^{4}-q^{5}-3q^{6}+q^{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": "0.013", "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": "0.028", "prec": 17}, {"__RealLiteral__": 0, "data": "1.002", "prec": 17}, {"__RealLiteral__": 0, "data": "0.065", "prec": 17}, {"__RealLiteral__": 0, "data": "2.047", "prec": 17}, {"__RealLiteral__": 0, "data": "0.199", "prec": 17}, {"__RealLiteral__": 0, "data": "5.259", "prec": 17}], "related_objects": ["EllipticCurve/Q/4010/d"], "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, 3, -1, 1], "traces": [0, 1, -1, 3, 1, -1, -3, 1, -1, 6, 1, 5, 3, 4, -1, -3, 1, 5, -6, 4, -1, 3, -5, -2, -3, 1, -4, 9, 1, 2, 3, -7, -1, 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