# Stored data for newform 164.5.d.b, downloaded from the LMFDB on 15 October 2026.
{"Nk2": 4100, "analytic_conductor": 16.95267394575047, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 164, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 4, "char_orbit_label": "d", "char_order": 2, "char_parity": -1, "char_values": [164, 2, [83, 129], [1, 1]], "cm_discs": [-4], "conrey_index": 163, "dim": 2, "field_disc": -4, "field_disc_factorization": [[-1, 1], [2, 2]], "field_poly": [1, 0, 1], "field_poly_is_cyclotomic": true, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 4, "has_non_self_twist": 1, "hecke_cutters": [[3, [0, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4503805869686948, "hecke_ring_generator_nbound": 13, "hecke_ring_index": 240, "hecke_ring_index_factorization": [[2, 4], [3, 1], [5, 1]], "hecke_ring_index_proved": true, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, -4], [1, 1, 164, 4, -1, 2, 0], [1, 1, 41, 2, 1, 2, 0]], "is_cm": true, "is_largest": 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