# Stored data for abelian variety isogeny class 2.11.ae_s, downloaded from the LMFDB on 24 September 2025.
{"abvar_count": 92, "abvar_counts": [92, 17296, 1799612, 214747136, 26117784412, 3142720023184, 379523931953468, 45940250076545024, 5559924997710919772, 672750153193159167376], "abvar_counts_str": "92 17296 1799612 214747136 26117784412 3142720023184 379523931953468 45940250076545024 5559924997710919772 672750153193159167376 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.240490560994952, 0.539857825313304], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 8, "curve_counts": [8, 142, 1352, 14670, 162168, 1773982, 19475576, 214314654, 2357950952, 25937430702], "curve_counts_str": "8 142 1352 14670 162168 1773982 19475576 214314654 2357950952 25937430702 ", "curves": ["y^2=7*x^6+8*x^5+5*x^4+5*x^3+x^2+6*x+4", "y^2=6*x^6+7*x^5+10*x^4+7*x^3+7*x^2+x+6", "y^2=x^6+10*x^4+6*x^3+7*x^2+10*x+5", "y^2=7*x^5+x^4+9*x^3+2*x^2+2*x", "y^2=10*x^6+5*x^5+5*x^4+3*x^3+2*x^2+6*x+2", "y^2=6*x^6+10*x^5+7*x^4+10*x^3+4*x^2+3*x+3", "y^2=x^6+5*x^5+9*x^3+9*x^2+10*x+6", "y^2=10*x^6+5*x^5+9*x^4+5*x^3+3*x^2+2*x+8", "y^2=x^6+2*x^5+3*x^4+2*x^3+7*x^2+4*x+10", "y^2=9*x^6+9*x^5+10*x^4+10*x^3+3*x^2+4*x+8", "y^2=9*x^5+10*x^4+5*x^3+2*x^2+7*x+7", "y^2=10*x^6+7*x^5+4*x^4+10*x^3+9*x^2+6*x+2", "y^2=5*x^6+5*x^5+3*x^4+x^3+10*x^2+7*x+1", "y^2=4*x^6+10*x^5+7*x^4+7*x^3+8*x^2+6*x+1"], "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": 4, "g": 2, "galois_groups": ["4T3"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 1, "geom_dim2_factors": 1, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["4T3"], "geometric_number_fields": ["4.0.14336.1"], "geometric_splitting_field": "4.0.14336.1", "geometric_splitting_polynomials": [[14, 0, 8, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 14, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 14, "label": "2.11.ae_s", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.14336.1"], "p": 11, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 7, 1, 2], [1, 17, 1, 4]], "poly": [1, -4, 18, -44, 121], "poly_str": "1 -4 18 -44 121 ", "primitive_models": [], "principal_polarization_count": 14, "q": 11, "real_poly": [1, -4, -4], "simple_distinct": ["2.11.ae_s"], "simple_factors": ["2.11.ae_sA"], "simple_multiplicities": [1], "singular_primes": ["2,F-5"], "size": 18, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.14336.1", "splitting_polynomials": [[14, 0, 8, 0, 1]], "twist_count": 2, "twists": [["2.11.e_s", "2.121.u_ig", 2]], "weak_equivalence_count": 4, "zfv_index": 8, "zfv_index_factorization": [[2, 3]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 8, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 896, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F-5"]}