# Stored data for abelian variety isogeny class 2.11.ai_bg, downloaded from the LMFDB on 22 January 2026.
{"abvar_count": 58, "abvar_counts": [58, 14500, 1760938, 210250000, 25769191258, 3138431750500, 379935240802378, 45953639424000000, 5559842595347832058, 672749994932236862500], "abvar_counts_str": "58 14500 1760938 210250000 25769191258 3138431750500 379935240802378 45953639424000000 5559842595347832058 672749994932236862500 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.0750991438594786, 0.424900856140521], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 4, "curve_counts": [4, 122, 1324, 14358, 160004, 1771562, 19496684, 214377118, 2357916004, 25937424602], "curve_counts_str": "4 122 1324 14358 160004 1771562 19496684 214377118 2357916004 25937424602 ", "curves": ["y^2=2*x^6+2*x^5+9*x^4+9*x^3+10*x^2+6*x+8", "y^2=6*x^6+8*x^5+3*x^4+x^3+3*x+10", "y^2=10*x^6+3*x^5+2*x^4+2*x^2+8*x+10"], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 1, "dim2_factors": 1, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 2, "g": 2, "galois_groups": ["4T2"], "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": 4, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.24.1"], "geometric_splitting_field": "2.0.24.1", "geometric_splitting_polynomials": [[6, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 3, "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": 3, "label": "2.11.ai_bg", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 24, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.2304.2"], "p": 11, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -8, 32, -88, 121], "poly_str": "1 -8 32 -88 121 ", "primitive_models": [], "q": 11, "real_poly": [1, -8, 10], "simple_distinct": ["2.11.ai_bg"], "simple_factors": ["2.11.ai_bgA"], "simple_multiplicities": [1], "singular_primes": ["5,-8*F-2*V+15"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.2304.2", "splitting_polynomials": [[9, 0, 0, 0, 1]], "twist_count": 6, "twists": [["2.11.i_bg", "2.121.a_afm", 2], ["2.11.i_bg", "2.14641.aky_cvdu", 4], ["2.11.a_ak", "2.214358881.bazk_brcckze", 8], ["2.11.a_k", "2.214358881.bazk_brcckze", 8], ["2.11.ag_x", "2.9849732675807611094711841.abwxilvhhou_bojmbtziktsrmrshihy", 24], ["2.11.g_x", "2.9849732675807611094711841.abwxilvhhou_bojmbtziktsrmrshihy", 24]], "weak_equivalence_count": 2, "zfv_index": 5, "zfv_index_factorization": [[5, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 100, "zfv_singular_count": 2, "zfv_singular_primes": ["5,-8*F-2*V+15"]}