# Stored data for abelian variety isogeny class 2.4.a_ai, downloaded from the LMFDB on 01 July 2026.
{"abvar_count": 9, "abvar_counts": [9, 81, 3969, 50625, 1046529, 15752961, 268402689, 4228250625, 68718952449, 1095222947841], "abvar_counts_str": "9 81 3969 50625 1046529 15752961 268402689 4228250625 68718952449 1095222947841 ", "angle_corank": 2, "angle_rank": 0, "angles": [0.0, 0.0, 1.0, 1.0], "center_dim": 2, "curve_count": 5, "curve_counts": [5, 1, 65, 193, 1025, 3841, 16385, 64513, 262145, 1044481], "curve_counts_str": "5 1 65 193 1025 3841 16385 64513 262145 1044481 ", "curves": [], "dim1_distinct": 2, "dim1_factors": 2, "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": 2, "galois_groups": ["1T1", "1T1"], "geom_dim1_distinct": 1, "geom_dim1_factors": 2, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "geom_dim3_distinct": 0, "geom_dim3_factors": 0, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 1, "geometric_extension_degree": 2, "geometric_galois_groups": ["1T1"], "geometric_number_fields": ["1.1.1.1"], "geometric_splitting_field": "1.1.1.1", "geometric_splitting_polynomials": [[0, 1]], "has_geom_ss_factor": true, "has_jacobian": -1, "has_principal_polarization": 1, "hyp_count": 0, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": true, "jacobian_count": 0, "label": "2.4.a_ai", "max_divalg_dim": 4, "max_geom_divalg_dim": 4, "max_twist_degree": 12, "newton_coelevation": 0, "newton_elevation": 2, "noncyclic_primes": [3], "number_fields": ["1.1.1.1", "1.1.1.1"], "p": 2, "p_rank": 0, "p_rank_deficit": 2, "poly": [1, 0, -8, 0, 16], "poly_str": "1 0 -8 0 16 ", "primitive_models": [], "q": 4, "real_poly": [1, 0, -16], "simple_distinct": ["1.4.ae", "1.4.e"], "simple_factors": ["1.4.aeA", "1.4.eA"], "simple_multiplicities": [1, 1], "slopes": ["1/2A", "1/2B", "1/2C", "1/2D"], "splitting_field": "1.1.1.1", "splitting_polynomials": [[0, 1]], "twist_count": 19, "twists": [["2.4.ai_y", "2.16.aq_ds", 2], ["2.4.i_y", "2.16.aq_ds", 2], ["2.4.ag_q", "2.64.a_aey", 3], ["2.4.a_e", "2.64.a_aey", 3], ["2.4.g_q", "2.64.a_aey", 3], ["2.4.ae_i", "2.256.acm_chc", 4], ["2.4.a_i", "2.256.acm_chc", 4], ["2.4.e_i", "2.256.acm_chc", 4], ["2.4.ae_m", "2.4096.ajw_bkjg", 6], ["2.4.ac_a", "2.4096.ajw_bkjg", 6], ["2.4.c_a", "2.4096.ajw_bkjg", 6], ["2.4.e_m", "2.4096.ajw_bkjg", 6], ["2.4.a_a", "2.65536.abnk_wjrs", 8], ["2.4.ac_e", "2.1048576.agbo_ntyxc", 10], ["2.4.c_e", "2.1048576.agbo_ntyxc", 10], ["2.4.ac_i", "2.16777216.ayge_imhifg", 12], ["2.4.a_ae", "2.16777216.ayge_imhifg", 12], ["2.4.c_i", "2.16777216.ayge_imhifg", 12]]}