# Stored data for abelian variety isogeny class 2.11.ag_w, downloaded from the LMFDB on 12 September 2026.
{"abvar_count": 72, "abvar_counts": [72, 15552, 1750248, 211507200, 26014085352, 3147295953600, 379921632491592, 45949275913420800, 5560073041789601928, 672760876491684395712], "abvar_counts_str": "72 15552 1750248 211507200 26014085352 3147295953600 379921632491592 45949275913420800 5560073041789601928 672760876491684395712 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.140218899003772, 0.5], "center_dim": 4, "cohen_macaulay_max": 2, "curve_count": 6, "curve_counts": [6, 130, 1314, 14446, 161526, 1776562, 19495986, 214356766, 2358013734, 25937844130], "curve_counts_str": "6 130 1314 14446 161526 1776562 19495986 214356766 2358013734 25937844130 ", "curves": ["y^2=7*x^5+8*x^4+2*x^3+2*x^2+9*x+1", "y^2=2*x^6+6*x^5+4*x^4+5*x^3+4*x^2+6*x+2", "y^2=8*x^6+3*x^5+3*x^4+4*x^3+3*x^2+3*x+8", "y^2=2*x^6+8*x^5+4*x^4+2*x^3+x^2+6*x+10", "y^2=6*x^6+2*x^5+5*x^4+4*x^3+5*x^2+2*x+6", "y^2=8*x^6+2*x^5+x^4+3*x^2+10*x+2", "y^2=3*x^5+9*x^4+7*x^3+8*x^2+8*x+8", "y^2=10*x^5+10*x^4+x^3+9*x^2+6*x", "y^2=10*x^6+2*x^5+6*x^4+4*x^3+6*x^2+9*x+3", "y^2=6*x^6+8*x^5+2*x^4+6*x^3+2*x^2+8*x+6", "y^2=3*x^6+2*x^5+6*x^4+4*x^3+6*x^2+2*x+3", "y^2=6*x^6+2*x^4+9*x^3+8*x^2+8*x", "y^2=8*x^6+8*x^5+2*x^4+4*x^3+4*x^2+7*x+10", "y^2=2*x^6+4*x^5+3*x^4+5*x^3+9*x^2+6*x+10", "y^2=10*x^6+10*x^5+8*x^4+3*x^3+10*x^2+8*x+6", "y^2=7*x^6+4*x^4+2*x^3+2*x^2+9*x+4"], "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": 16, "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": 3, "geometric_extension_degree": 2, "geometric_galois_groups": ["1T1", "2T1"], "geometric_number_fields": ["1.1.1.1", "2.0.8.1"], "geometric_splitting_field": "2.0.8.1", "geometric_splitting_polynomials": [[2, 0, 1]], "group_structure_count": 6, "has_geom_ss_factor": true, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 16, "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": 16, "label": "2.11.ag_w", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 1, "noncyclic_primes": [2, 3], "number_fields": ["2.0.8.1", "2.0.11.1"], "p": 11, "p_rank": 1, "p_rank_deficit": 1, "poly": [1, -6, 22, -66, 121], "poly_str": "1 -6 22 -66 121 ", "primitive_models": [], "q": 11, "real_poly": [1, -6], "simple_distinct": ["1.11.ag", "1.11.a"], "simple_factors": ["1.11.agA", "1.11.aA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,2*F+V-5", "3,3*F+V+2", "3,12*F+V-2"], "slopes": ["0A", "1/2A", "1/2B", "1A"], "splitting_field": "4.0.7744.1", "splitting_polynomials": [[3, -10, 11, -2, 1]], "twist_count": 2, "twists": [["2.11.g_w", "2.121.i_aco", 2]], "weak_equivalence_count": 20, "zfv_index": 72, "zfv_index_factorization": [[2, 3], [3, 2]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 352, "zfv_singular_count": 6, "zfv_singular_primes": ["2,2*F+V-5", "3,3*F+V+2", "3,12*F+V-2"]}