# Stored data for newform 2325.2.a.r, downloaded from the LMFDB on 16 September 2026.
{"Nk2": 9300, "analytic_conductor": 18.565218469947688, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [5, 1], [31, -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": [2325, 1, [776, 652, 1801], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 564, "field_disc_factorization": [[2, 2], [3, 1], [47, 1]], "field_poly": [3, -5, -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": [[2, [-3, -5, 1, 1]], [7, [6, 16, 8, 1]], [11, [24, -20, -2, 1]], [13, [-6, 0, 4, 1]]], "hecke_orbit": 18, "hecke_orbit_code": 76561193698855189, "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": true, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "2325.2.a.r", "level": 2325, "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, 5, 31], "level_radical": 465, "minimal_twist": "465.2.a.e", "nf_label": "3.3.564.1", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}+q^{3}+(2+\\beta _{2})q^{4}-\\beta _{1}q^{6}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "2325.2.a", "trace_display": [-1, 3, 0, -8], "trace_hash": 2188162276174090419, "trace_moments": [0, {"__RealLiteral__": 0, "data": "2.811", "prec": 14}, 0, 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