# Stored data for newform 6897.2.a.f, downloaded from the LMFDB on 24 April 2024.
{"label": "6897.2.a.f", "space_label": "6897.2.a", "level": 6897, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22517998170413809, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2179305512936749972, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-2, 1]], [5, [3, 1]], [7, [-5, 1]], [13, [2, 1]]], "qexp_display": "q+2q^{2}-q^{3}+2q^{4}-3q^{5}-2q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 27588, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 55.07282227407708, "hecke_ring_index": 1, "level_radical": 627, "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": [6897, 1, [2300, 970, 3631], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 11, 19], "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": "0.989", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.917", "prec": 17}, {"__RealLiteral__": 0, "data": "0.036", "prec": 17}, {"__RealLiteral__": 0, "data": "4.622", "prec": 17}], "related_objects": ["EllipticCurve/Q/6897/f"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [11, -1], [19, -1]], "trace_display": [2, -1, -3, 5], "traces": [0, 1, 2, -1, 2, -3, -2, 5, 0, 1, -6, 0, -2, -2, 10, 3, -4, 1, 2, 1, -6, -5, 0, -4, 0, 4, -4, -1, 10, 2, 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