# Stored data for newform 1682.2.a.j, downloaded from the LMFDB on 25 April 2024.
{"label": "1682.2.a.j", "space_label": "1682.2.a", "level": 1682, "weight": 2, "hecke_orbit": 10, "hecke_orbit_code": 40532396679890578, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1033380401994463125, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-3, 1]], [5, [3, 1]]], "qexp_display": "q+q^{2}+3q^{3}+q^{4}-3q^{5}+3q^{6}-2q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 6728, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 13.43083761997936, "hecke_ring_index": 1, "level_radical": 58, "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": "0.015", "prec": 17}, "analytic_rank_proved": true, "char_values": [1682, 1, [843], [1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 29], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.014", "prec": 17}, {"__RealLiteral__": 0, "data": "0.991", "prec": 17}, {"__RealLiteral__": 0, "data": "0.068", "prec": 17}, {"__RealLiteral__": 0, "data": "2.010", "prec": 17}, {"__RealLiteral__": 0, "data": "0.233", "prec": 17}, {"__RealLiteral__": 0, "data": "5.161", "prec": 17}], "related_objects": ["EllipticCurve/Q/1682/j"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [29, 1]], "trace_display": [1, 3, -3, -2], "traces": [0, 1, 1, 3, 1, -3, 3, -2, 1, 6, -3, 1, 3, 3, -2, -9, 1, 4, 6, 8, -3, -6, 1, 0, 3, 4, 3, 9, -2, 0, -9, -3, 1, 3, 4, 6, 6, 8, 8, 9, -3, 2, -6, -7, 1, -18, 0, -11, 3, -3, 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