# Stored data for newform 2277.2.a.t, downloaded from the LMFDB on 12 September 2025. {"Nk2": 9108, "analytic_conductor": 18.181936540245545, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, 1], [11, -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": [2277, 1, [254, 1036, 1684], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 8, "field_disc": 241500778256, "field_disc_factorization": [[2, 4], [15093798641, 1]], "field_poly": [9, -6, -41, 14, 48, -2, -13, 0, 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": [[2, [9, -6, -41, 14, 48, -2, -13, 0, 1]], [5, [18, 126, -128, -88, 95, 10, -18, 0, 1]], [17, [-864, 3040, -2480, -240, 618, -2, -46, 0, 1]]], "hecke_orbit": 20, "hecke_orbit_code": 85568392953596133, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 4, "hecke_ring_index_factorization": [[2, 2]], "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": true, "label": "2277.2.a.t", "level": 2277, "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": [3, 11, 23], "level_radical": 759, "minimal_twist": "2277.2.a.s", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}-\\beta _{5}q^{5}+(1-\\beta _{1}+\\cdots)q^{7}+\\cdots", "related_objects": [], "relative_dim": 8, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, 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