# Stored data for newform 1150.4.a.bb, downloaded from the LMFDB on 07 June 2024.
{"Nk2": 18400, "analytic_conductor": 67.8521965066017, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [5, -1], [23, 1]], "atkin_lehner_string": "--+", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [1150, 1, [277, 51], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 9, "field_disc": 7623647973306842471510601600, "field_disc_factorization": [[2, 7], [3, 2], [5, 2], [444287, 1], [595808563098074561, 1]], "field_poly": [178000, 525560, -105750, -205207, -8259, 10197, 380, -179, -3, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[3, [178000, 525560, -105750, -205207, -8259, 10197, 380, -179, -3, 1]], [7, [-26142461280, -6406655616, 1077047764, 97340332, -14993076, -65062, 50171, -804, -44, 1]]], "hecke_orbit": 28, "hecke_orbit_code": 121597190006113406, "hecke_ring_generator_nbound": 13, "hecke_ring_index": 10, "hecke_ring_index_factorization": [[2, 1], [5, 1]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": true, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "1150.4.a.bb", "level": 1150, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 5, 23], "level_radical": 230, "minimal_twist": "230.4.b.b", "prim_orbit_index": 1, "qexp_display": "q+2q^{2}+\\beta _{1}q^{3}+4q^{4}+2\\beta _{1}q^{6}+(5+\\cdots)q^{7}+\\cdots", "related_objects": [], "relative_dim": 9, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, 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