# Stored data for newform 9.18.a.c, downloaded from the LMFDB on 17 October 2026.
{"Nk2": 2916, "analytic_conductor": 16.48998786101037, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -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": [9, 1, [2], [1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 14569, "field_disc_factorization": [[17, 1], [857, 1]], "field_poly": [-3642, -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, [-42912, 594, 1]]], "hecke_orbit": 3, "hecke_orbit_code": 9007199556730889, "hecke_ring_generator_nbound": 2, "hecke_ring_index": 6, "hecke_ring_index_factorization": [[2, 1], [3, 1]], "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": "9.18.a.c", "level": 9, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": true, "level_is_prime_square": true, "level_is_square": true, "level_is_squarefree": false, "level_primes": [3], "level_radical": 3, "minimal_twist": "3.18.a.b", "nf_label": "2.2.14569.1", "prim_orbit_index": 1, "qexp_display": "q+(-297-\\beta )q^{2}+(88258+594\\beta )q^{4}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "17.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "9.18.a", "trace_display": [-594, 0, -382860, 24471568], "trace_hash": 373295173150682217, "trace_moments": [0, {"__RealLiteral__": 0, "data": "1.932", "prec": 14}, 0, {"__RealLiteral__": 0, "data": "8.828", "prec": 14}, 0, {"__RealLiteral__": 0, "data": "55.839", "prec": 17}], "trace_zratio": 0, 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