# Stored data for newform 1421.2.a.j, downloaded from the LMFDB on 29 March 2024. {"label": "1421.2.a.j", "space_label": "1421.2.a", "level": 1421, "weight": 2, "hecke_orbit": 10, "hecke_orbit_code": 40532396679890317, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 490840810875960004, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, 2, 1]], [3, [-1, 2, 1]], [5, [-1, 1]]], "qexp_display": "q+(-1+\\beta )q^{2}+(-1+\\beta )q^{3}+(1-2\\beta )q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 5684, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 11.346742127223942, "hecke_ring_index": 1, "level_radical": 203, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 8, "field_poly_is_real_cyclotomic": true, "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": "0.019", "prec": 17}, "analytic_rank_proved": true, "char_values": [1421, 1, [1277, 785], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [7, 29], "conrey_indexes": [1], "field_disc": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.950", "prec": 17}, {"__RealLiteral__": 0, "data": "0.138", "prec": 17}, {"__RealLiteral__": 0, "data": "9.154", "prec": 17}, {"__RealLiteral__": 0, "data": "1.519", "prec": 17}, {"__RealLiteral__": 0, "data": "60.016", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[7, -1], [29, -1]], "trace_display": [-2, -2, 2, 0], "traces": [0, 2, -2, -2, 2, 2, 6, 0, -6, 0, -2, 2, -10, 2, 0, -2, 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