# Stored data for newform 1338.2.e.f, downloaded from the LMFDB on 13 September 2025. {"Nk2": 5352, "analytic_conductor": 10.683983790447316, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 223, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 5, "char_orbit_label": "e", "char_order": 3, "char_parity": 1, "char_values": [1338, 3, [893, 895], [3, 2]], "cm_discs": [], "conrey_index": 931, "dim": 4, "field_disc": 225, "field_disc_factorization": [[3, 2], [5, 2]], "field_poly": [1, 1, 2, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "has_non_self_twist": 1, "hecke_cutters": [[5, [1, 1, 1]], [7, [-5, 0, 1]]], "hecke_orbit": 6, "hecke_orbit_code": 22518273048315194, "hecke_ring_generator_nbound": 11, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 223, 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