# Stored data for newform 6889.2.a.a, downloaded from the LMFDB on 25 April 2024.
{"label": "6889.2.a.a", "space_label": "6889.2.a", "level": 6889, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 33561321, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 921609962857191589, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, 1]]], "qexp_display": "q+q^{2}-q^{3}-q^{4}+2q^{5}-q^{6}-3q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 27556, "fricke_eigenval": -1, "atkin_lehner_string": "-", "analytic_conductor": 55.008941952460056, "hecke_ring_index": 1, "level_radical": 83, "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": "0.012", "prec": 17}, "analytic_rank_proved": true, "char_values": [6889, 1, [2], [1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [83], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.017", "prec": 17}, {"__RealLiteral__": 0, "data": "0.990", "prec": 17}, {"__RealLiteral__": 0, "data": "0.066", "prec": 17}, {"__RealLiteral__": 0, "data": "1.972", "prec": 17}, {"__RealLiteral__": 0, "data": "0.226", "prec": 17}, {"__RealLiteral__": 0, "data": "4.971", "prec": 17}], "related_objects": ["EllipticCurve/Q/6889/a"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[83, -1]], "trace_display": [1, -1, 2, -3], "traces": [0, 1, 1, -1, -1, 2, -1, -3, -3, -2, 2, 3, 1, 6, -3, -2, -1, 5, -2, -2, -2, 3, 3, -4, 3, -1, 6, 5, 3, -7, -2, 5, 5, -3, 5, -6, 2, -11, -2, -6, -6, -2, 3, 8, -3, -4, -4, 0, 1, 2, -1, -5, -6, -6, 5, 6, 9, 2, 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