# Stored data for newform 6045.2.a.f, downloaded from the LMFDB on 25 April 2024.
{"label": "6045.2.a.f", "space_label": "6045.2.a", "level": 6045, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22517998170412957, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1848009617780262312, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [0, 1]], [7, [1, 1]], [11, [3, 1]]], "qexp_display": "q+q^{3}-2q^{4}-q^{5}-q^{7}+q^{9}-3q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24180, "fricke_eigenval": -1, "atkin_lehner_string": "-+--", "analytic_conductor": 48.26956802186399, "hecke_ring_index": 1, "level_radical": 6045, "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": "0.018", "prec": 17}, "analytic_rank_proved": true, "char_values": [6045, 1, [4031, 4837, 1861, 2731], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 5, 13, 31], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.024", "prec": 17}, {"__RealLiteral__": 0, "data": "0.985", "prec": 17}, {"__RealLiteral__": 0, "data": "0.081", "prec": 17}, {"__RealLiteral__": 0, "data": "1.989", "prec": 17}, {"__RealLiteral__": 0, "data": "0.249", "prec": 17}, {"__RealLiteral__": 0, "data": "5.037", "prec": 17}], "related_objects": ["EllipticCurve/Q/6045/f"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1], [13, -1], [31, -1]], "trace_display": [0, 1, -1, -1], "traces": [0, 1, 0, 1, -2, -1, 0, -1, 0, 1, 0, -3, -2, 1, 0, -1, 4, -3, 0, 2, 2, -1, 0, 3, 0, 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