# Stored data for newform 3330.2.a.bf, downloaded from the LMFDB on 15 January 2026.
{"Nk2": 13320, "analytic_conductor": 26.590183873086367, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [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": [3330, 1, [371, 667, 631], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 113, "field_disc_factorization": [[113, 1]], "field_poly": [-28, -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": [[7, [-3, 1]], [11, [-1, 1]], [13, [-26, -3, 1]], [17, [1, 1]]], "hecke_orbit": 32, "hecke_orbit_code": 139611588482043138, "hecke_ring_generator_nbound": 13, "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": "3330.2.a.bf", "level": 3330, "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, 3, 5, 37], "level_radical": 1110, "minimal_twist": "1110.2.a.q", "nf_label": "2.2.113.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}+q^{4}-q^{5}+3q^{7}+q^{8}-q^{10}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "3330.2.a", "trace_display": [2, 0, -2, 6], "trace_hash": 374268443198982545, "trace_moments": [{"__RealLiteral__": 0, "data": "0.049", "prec": 17}, {"__RealLiteral__": 0, "data": "1.985", "prec": 17}, 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