# Stored data for abelian variety isogeny class 6.2.ab_a_b_ac_ab_l, downloaded from the LMFDB on 27 June 2026.
{"abvar_count": 39, "abvar_counts": [39, 3627, 492804, 12538539, 785461989, 153441424656, 6823784394921, 284700079072539, 16798637524955364, 1218749121756177687], "abvar_counts_str": "39 3627 492804 12538539 785461989 153441424656 6823784394921 284700079072539 16798637524955364 1218749121756177687 ", "angle_corank": 3, "angle_rank": 3, "angles": [0.101847760735347, 0.181850269128871, 0.430688013037076, 0.484816397537796, 0.768514427402014, 0.902645320296257], "center_dim": 12, "curve_count": 2, "curve_counts": [2, 4, 11, 12, 22, 115, 184, 260, 479, 1084], "curve_counts_str": "2 4 11 12 22 115 184 260 479 1084 ", "curves": [], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 6, "galois_groups": ["12T24"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "geom_dim3_distinct": 1, "geom_dim3_factors": 2, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 6, "geometric_extension_degree": 3, "geometric_galois_groups": ["6T11"], "geometric_number_fields": ["6.0.14950512.2"], "geometric_splitting_field": "6.0.14950512.2", "geometric_splitting_polynomials": [[8, -4, 2, -1, 1, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": -1, "has_principal_polarization": 1, "hyp_count": 0, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 0, "label": "6.2.ab_a_b_ac_ab_l", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 12, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["12.0.2011660281559296.2"], "p": 2, "p_rank": 6, "p_rank_deficit": 0, "poly": [1, -1, 0, 1, -2, -1, 11, -2, -8, 8, 0, -32, 64], "poly_str": "1 -1 0 1 -2 -1 11 -2 -8 8 0 -32 64 ", "primitive_models": [], "q": 2, "real_poly": [1, -1, -12, 11, 34, -27, 3], "simple_distinct": ["6.2.ab_a_b_ac_ab_l"], "simple_factors": ["6.2.ab_a_b_ac_ab_lA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "0C", "0D", "0E", "0F", "1A", "1B", "1C", "1D", "1E", "1F"], "splitting_field": "6.0.14950512.2", "splitting_polynomials": [[8, -4, 2, -1, 1, -1, 1]], "twist_count": 6, "twists": [["6.2.b_a_ab_ac_b_l", "6.4.ab_ac_t_ao_az_hp", 2], ["6.2.c_d_e_h_o_bd", "6.8.c_bb_bo_pb_ty_fuf", 3], ["6.2.ac_d_ae_h_ao_bd", "6.64.by_bzz_bljg_ughz_iqkys_cywfdp", 6], ["6.2.a_b_a_d_a_l", "6.64.by_bzz_bljg_ughz_iqkys_cywfdp", 6], ["6.2.a_ab_a_d_a_al", "6.4096.hu_rcx_abesnk_afgnwjh_lhvufnu_cwnbraybx", 12]]}