# Stored data for newform 243.3.b.e, downloaded from the LMFDB on 25 January 2026.
{"Nk2": 2187, "analytic_conductor": 6.621270423955215, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 3, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 2, "char_orbit_label": "b", "char_order": 2, "char_parity": -1, "char_values": [243, 2, [2], [1]], "cm_discs": [], "conrey_index": 242, "dim": 2, "field_disc": -24, "field_disc_factorization": [[-1, 1], [2, 3], [3, 1]], "field_poly": [6, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "has_non_self_twist": 1, "hecke_cutters": [[2, [6, 0, 1]], [5, [6, 0, 1]], [7, [4, 1]]], "hecke_orbit": 5, "hecke_orbit_code": 18014467279290611, "hecke_ring_generator_nbound": 2, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "243.3.b.e", "level": 243, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": true, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [3], "level_radical": 3, "minimal_twist": "243.3.b.e", "nf_label": "2.0.24.1", "prim_orbit_index": 2, "qexp_display": "q+\\beta q^{2}-2q^{4}-\\beta q^{5}-4q^{7}+2\\beta q^{8}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "2.2.3.c2", "self_twist_discs": [], "self_twist_type": 0, "space_label": "243.3.b", "trace_display": [0, 0, 0, -8], "trace_hash": 680923739029677537, "trace_moments": [{"__RealLiteral__": 0, "data": "0.024", "prec": 17}, {"__RealLiteral__": 0, "data": "1.951", "prec": 17}, {"__RealLiteral__": 0, "data": "0.196", "prec": 17}, {"__RealLiteral__": 0, "data": "15.113", "prec": 20}, {"__RealLiteral__": 0, "data": "2.299", 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