# Stored data for newform 1682.4.a.b, downloaded from the LMFDB on 25 April 2024.
{"label": "1682.4.a.b", "space_label": "1682.4.a", "level": 1682, "weight": 4, "hecke_orbit": 2, "hecke_orbit_code": 4503599694481042, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1821780088306856624, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [7, 1]]], "qexp_display": "q+2q^{2}-7q^{3}+4q^{4}+5q^{5}-14q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 26912, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 99.2412126296557, "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": 0, "analytic_rank_proved": true, "char_values": [1682, 1, [843], [1]], "hecke_ring_generator_nbound": 1, 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