# Stored data for newform 75.4.e.a, downloaded from the LMFDB on 11 September 2026.
{"Nk2": 1200, "analytic_conductor": 4.425143250430546, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 15, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 5, "char_orbit_label": "e", "char_order": 4, "char_parity": 1, "char_values": [75, 4, [26, 52], [2, 1]], "cm_discs": [-3], "conrey_index": 32, "dim": 4, "field_disc": 2304, "field_disc_factorization": [[2, 8], [3, 2]], "field_poly": [9, 0, 0, 0, 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": [[2, [0, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 274945015883, "hecke_ring_generator_nbound": 4, "hecke_ring_index": 9, "hecke_ring_index_factorization": [[3, 2]], "hecke_ring_index_proved": true, "inner_twist_count": 8, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, -3], [1, 1, 5, 2, 1, 2, 0], [1, 2, 5, 3, -1, 4, 0], [1, 1, 15, 4, -1, 2, 0], [1, 2, 15, 5, 1, 4, 0]], 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