# Stored data for abelian variety isogeny class 2.11.c_ac, downloaded from the LMFDB on 06 June 2026.
{"abvar_count": 144, "abvar_counts": [144, 13824, 1890000, 218087424, 25873611984, 3139093440000, 379408962562704, 45952733531602944, 5559862766612490000, 672760726676557161984], "abvar_counts_str": "144 13824 1890000 218087424 25873611984 3139093440000 379408962562704 45952733531602944 5559862766612490000 672760726676557161984 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.293962833699645, 0.859781100996228], "center_dim": 4, "cohen_macaulay_max": 2, "curve_count": 14, "curve_counts": [14, 114, 1418, 14894, 160654, 1771938, 19469674, 214372894, 2357924558, 25937838354], "curve_counts_str": "14 114 1418 14894 160654 1771938 19469674 214372894 2357924558 25937838354 ", "curves": ["y^2=7*x^6+3*x^5+4*x^4+8*x^3+10*x^2+4*x+6", "y^2=9*x^5+3*x^4+4*x^3+6*x^2+9*x+2", "y^2=5*x^5+x^4+x^3+x^2+7*x+8", "y^2=6*x^6+10*x^5+x^4+8*x^3+9*x^2+5*x+6", "y^2=4*x^6+9*x^5+10*x^3+3*x^2+6", "y^2=9*x^5+6*x^4+10*x^3+4*x+4", "y^2=8*x^6+3*x^5+4*x^4+x^3+6*x^2+3*x+6", "y^2=10*x^6+x^5+8*x^4+3*x^3+10*x^2+7*x+3", "y^2=4*x^6+2*x^5+2*x^4+6*x^3+10*x+9", "y^2=6*x^6+7*x^5+x^4+10*x^3+2*x^2+5*x+5", "y^2=3*x^5+7*x^4+7*x^3+8*x^2+x", "y^2=7*x^6+4*x^5+x^4+10*x^3+5*x^2+9*x+6", "y^2=3*x^6+6*x^5+6*x^4+2*x^3+6*x^2+6*x+3", "y^2=10*x^5+7*x^4+2*x^3+4*x^2+4*x+8"], "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, "endomorphism_ring_count": 12, "g": 2, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 2, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "2T1"], "geometric_number_fields": ["2.0.7.1", "2.0.8.1"], "geometric_splitting_field": "4.0.3136.2", "geometric_splitting_polynomials": [[2, -8, 9, -2, 1]], "group_structure_count": 4, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 14, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 14, "label": "2.11.c_ac", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.7.1", "2.0.8.1"], "p": 11, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 2, -2, 22, 121], "poly_str": "1 2 -2 22 121 ", "primitive_models": [], "q": 11, "real_poly": [1, 2, -24], "simple_distinct": ["1.11.ae", "1.11.g"], "simple_factors": ["1.11.aeA", "1.11.gA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,V+3", "5,7*F-8*V+7"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.3136.2", "splitting_polynomials": [[2, -8, 9, -2, 1]], "twist_count": 4, "twists": [["2.11.ak_bu", "2.121.ai_gc", 2], ["2.11.ac_ac", "2.121.ai_gc", 2], ["2.11.k_bu", "2.121.ai_gc", 2]], "weak_equivalence_count": 14, "zfv_index": 200, "zfv_index_factorization": [[2, 3], [5, 2]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 224, "zfv_singular_count": 4, "zfv_singular_primes": ["2,V+3", "5,7*F-8*V+7"]}