# Stored data for newform 8325.2.a.ch, downloaded from the LMFDB on 08 June 2026.
{"Nk2": 33300, "analytic_conductor": 66.47545968271592, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [5, 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": [8325, 1, [3701, 7327, 5626], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 5, "field_disc": 973904, "field_disc_factorization": [[2, 4], [60869, 1]], "field_poly": [6, 19, 6, -8, -2, 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, [-12, 11, 14, -8, -2, 1]], [7, [-302, -268, -32, 32, 11, 1]], [11, [-96, 16, 48, -8, -5, 1]], [13, [256, 148, -60, -28, 4, 1]]], "hecke_orbit": 60, "hecke_orbit_code": 265712378048422021, "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": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "8325.2.a.ch", "level": 8325, "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, 37], "level_radical": 555, "minimal_twist": "185.2.a.e", "nf_label": "5.5.973904.1", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{4}q^{2}+(2+\\beta _{3})q^{4}+(-2-\\beta _{1}-\\beta _{2}+\\cdots)q^{7}+\\cdots", "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "8325.2.a", "trace_display": [2, 0, 0, -11], "trace_hash": 520105948813094269, 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