# Stored data for newform 324.8.e.c, downloaded from the LMFDB on 09 September 2026.
{"Nk2": 20736, "analytic_conductor": 101.21274825685545, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 9, "char_degree": 2, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 5, "char_orbit_label": "e", "char_order": 3, "char_parity": 1, "char_values": [324, 3, [163, 245], [3, 1]], "cm_discs": [-3], "conrey_index": 109, "dim": 2, "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "field_poly_is_cyclotomic": true, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 6, "has_non_self_twist": 1, "hecke_cutters": [[5, [0, 1]], [7, [258064, -508, 1]]], "hecke_orbit": 3, "hecke_orbit_code": 9007474266865988, "hecke_ring_generator_nbound": 25, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, -3], [1, 1, 9, 3, 1, 3, 0], [1, 1, 9, 4, -1, 6, 0]], "is_cm": true, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": false, "is_self_twist": true, "is_twist_minimal": false, "label": "324.8.e.c", "level": 324, "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": [2, 3], "level_radical": 6, "minimal_twist": "36.8.a.b", "nf_label": "2.0.3.1", "prim_orbit_index": 3, "qexp_display": "q+(508-508\\zeta_{6})q^{7}+14614\\zeta_{6}q^{13}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "7.2.1.d3", "self_twist_discs": [-3], "self_twist_type": 1, "space_label": "324.8.e", "trace_display": [0, 0, 0, 508], "trace_hash": 352420598823117193, "trace_moments": [0, {"__RealLiteral__": 0, "data": "1.884", "prec": 14}, 0, {"__RealLiteral__": 0, "data": "16.552", "prec": 17}, 0, {"__RealLiteral__": 0, "data": "198.108", "prec": 20}], "trace_zratio": {"__RealLiteral__": 0, 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