# Stored data for newform 9065.2.a.g, downloaded from the LMFDB on 14 October 2025.
{"Nk2": 36260, "analytic_conductor": 72.38438943229067, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[5, -1], [7, -1], [37, -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": [9065, 1, [3627, 5736, 7106], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 2048, "field_disc_factorization": [[2, 11]], "field_poly": [2, 0, -4, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 16, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[2, [2, 0, -4, 0, 1]], [3, [-1, 4, 2, -4, 1]], [11, [-1, -2, 1]]], "hecke_orbit": 7, "hecke_orbit_code": 27021597797786473, "hecke_ring_generator_nbound": 2, "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": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "9065.2.a.g", "level": 9065, "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": [5, 7, 37], "level_radical": 1295, "minimal_twist": "1295.2.a.d", "nf_label": "4.4.2048.1", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{2}+(1-\\beta _{3})q^{3}+\\beta _{2}q^{4}+q^{5}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "9065.2.a", "trace_display": [0, 4, 4, 0], "trace_hash": 1977364330997286146, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.659", "prec": 17}, 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