# Stored data for newform 1089.6.a.b, downloaded from the LMFDB on 22 September 2026.
{"Nk2": 39204, "analytic_conductor": 174.6579797763359, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [11, -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": [1089, 1, [848, 244], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [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, [6, 1]], [5, [6, 1]], [7, [-40, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4503599728034881, "hecke_ring_generator_nbound": 1, "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": "1089.6.a.b", "level": 1089, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [3, 11], "level_radical": 33, "minimal_twist": "3.6.a.a", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q-6q^{2}+4q^{4}-6q^{5}+40q^{7}+168q^{8}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1089.6.a", "trace_display": [-6, 0, -6, 40], "trace_hash": 696387394429817552, "trace_moments": [0, {"__RealLiteral__": 0, "data": "0.986", "prec": 10}, 0, {"__RealLiteral__": 0, "data": "1.950", "prec": 14}, 0, {"__RealLiteral__": 0, "data": "4.815", "prec": 14}], "trace_zratio": {"__RealLiteral__": 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