# Stored data for abelian variety isogeny class 2.5.ai_ba, downloaded from the LMFDB on 07 March 2026.
{"abvar_count": 4, "abvar_counts": [4, 400, 14884, 409600, 10252804, 251539600, 6190857124, 153413222400, 3820312611844, 95376709210000], "abvar_counts_str": "4 400 14884 409600 10252804 251539600 6190857124 153413222400 3820312611844 95376709210000 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.147583617650433, 0.147583617650433], "center_dim": 2, "curve_count": -2, "curve_counts": [-2, 14, 118, 654, 3278, 16094, 79238, 392734, 1955998, 9766574], "curve_counts_str": "-2 14 118 654 3278 16094 79238 392734 1955998 9766574 ", "curves": [], "dim1_distinct": 1, "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": ["2T1"], "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": 2, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.4.1"], "geometric_splitting_field": "2.0.4.1", "geometric_splitting_polynomials": [[1, 0, 1]], "has_geom_ss_factor": false, "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": false, "is_supersingular": false, "jacobian_count": 0, "label": "2.5.ai_ba", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.4.1"], "p": 5, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -8, 26, -40, 25], "poly_str": "1 -8 26 -40 25 ", "primitive_models": [], "q": 5, "real_poly": [1, -8, 16], "simple_distinct": ["1.5.ae"], "simple_factors": ["1.5.aeA", "1.5.aeB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.4.1", "splitting_polynomials": [[1, 0, 1]], "twist_count": 16, "twists": [["2.5.a_ag", "2.25.am_di", 2], ["2.5.i_ba", "2.25.am_di", 2], ["2.5.e_l", "2.125.ai_kg", 3], ["2.5.ag_s", "2.625.bc_cdq", 4], ["2.5.ae_o", "2.625.bc_cdq", 4], ["2.5.ac_c", "2.625.bc_cdq", 4], ["2.5.a_g", "2.625.bc_cdq", 4], ["2.5.c_c", "2.625.bc_cdq", 4], ["2.5.e_o", "2.625.bc_cdq", 4], ["2.5.g_s", "2.625.bc_cdq", 4], ["2.5.ae_l", "2.15625.sa_exfy", 6], ["2.5.a_ai", "2.390625.ddc_edrbq", 8], ["2.5.a_i", "2.390625.ddc_edrbq", 8], ["2.5.ac_ab", "2.244140625.acroe_djppwqg", 12], ["2.5.c_ab", "2.244140625.acroe_djppwqg", 12]]}