# Stored data for newform 1078.2.e.a, downloaded from the LMFDB on 21 March 2025. {"Nk2": 4312, "analytic_conductor": 8.607873337894025, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 7, "char_degree": 2, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 5, "char_orbit_label": "e", "char_order": 3, "char_parity": 1, "char_values": [1078, 3, [199, 981], [2, 3]], "cm_discs": [], "conrey_index": 67, "dim": 2, "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "field_poly_is_cyclotomic": true, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 6, "has_non_self_twist": 1, "hecke_cutters": [[3, [4, 2, 1]], [5, [4, 2, 1]], [13, [2, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 274911462454, "hecke_ring_generator_nbound": 2, "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, 7, 3, 1, 3, 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