# Stored data for newform 8450.2.a.cx, downloaded from the LMFDB on 04 September 2025.
{"Nk2": 33800, "analytic_conductor": 67.47358970798193, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [5, -1], [13, 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": [8450, 1, [677, 3551], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 9, "field_disc": 598650818752, "field_disc_factorization": [[2, 6], [7, 6], [43, 3]], "field_poly": [-1, 8, 26, -33, -69, 53, 17, -14, -1, 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, [-1, -14, 21, 111, 49, -70, -40, 7, 7, 1]], [7, [-104, -80, 380, -24, -310, 108, 55, -26, -1, 1]], [11, [1688, 3900, -2084, -3185, 938, 672, -126, -45, 4, 1]], [17, [-28664, -72684, -26144, 17737, 7138, -994, -552, -11, 12, 1]], [31, [-3017216, -831872, 1037568, -64200, -58096, 6852, 1052, -152, -6, 1]]], "hecke_orbit": 76, "hecke_orbit_code": 337769972086350082, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "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": "8450.2.a.cx", "level": 8450, "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, 13], "level_radical": 130, "minimal_twist": "1690.2.b.f", "prim_orbit_index": 1, "qexp_display": "q+q^{2}+(-1-\\beta _{4})q^{3}+q^{4}+(-1-\\beta _{4}+\\cdots)q^{6}+\\cdots", "related_objects": [], "relative_dim": 9, "rm_discs": [], "sato_tate_group": "1.2.3.c1", 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