# Stored data for newform 432.5.e.e, downloaded from the LMFDB on 21 May 2026.
{"Nk2": 10800, "analytic_conductor": 44.65582405222075, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 3, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 5, "char_orbit_label": "e", "char_order": 2, "char_parity": -1, "char_values": [432, 2, [271, 325, 353], [2, 2, 1]], "cm_discs": [], "conrey_index": 161, "dim": 2, "field_disc": -4, "field_disc_factorization": [[-1, 1], [2, 2]], "field_poly": [1, 0, 1], "field_poly_is_cyclotomic": true, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 4, "has_non_self_twist": 1, "hecke_cutters": [[5, [1089, 0, 1]], [7, [-19, 1]]], "hecke_orbit": 5, "hecke_orbit_code": 18014673471275440, "hecke_ring_generator_nbound": 11, "hecke_ring_index": 3, "hecke_ring_index_factorization": [[3, 1]], "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": false, "label": "432.5.e.e", "level": 432, "level_is_powerful": true, "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], "level_radical": 6, "minimal_twist": "27.5.b.c", "nf_label": "2.0.4.1", "prim_orbit_index": 2, "qexp_display": "q+11\\beta q^{5}+19 q^{7}+41\\beta q^{11}+302 q^{13}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "4.2.3.c2", "self_twist_discs": [], "self_twist_type": 0, "space_label": "432.5.e", "trace_display": [0, 0, 0, 38], "trace_hash": 1595610708011457571, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.870", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "14.247", "prec": 20}, {"__RealLiteral__": 0, 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