# Stored data for abelian variety isogeny class 2.11.ae_n, downloaded from the LMFDB on 11 September 2025.
{"abvar_count": 87, "abvar_counts": [87, 15921, 1720512, 214631001, 26182476087, 3143499300864, 379698450996063, 45953332014062889, 5560020782234741952, 672736897945595826801], "abvar_counts_str": "87 15921 1720512 214631001 26182476087 3143499300864 379698450996063 45953332014062889 5560020782234741952 672736897945595826801 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.179559488784406, 0.577818478944484], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 8, "curve_counts": [8, 132, 1292, 14660, 162568, 1774422, 19484536, 214375684, 2357991572, 25936919652], "curve_counts_str": "8 132 1292 14660 162568 1774422 19484536 214375684 2357991572 25936919652 ", "curves": ["y^2=4*x^6+2*x^4+8*x^3+8*x^2+9*x+10", "y^2=8*x^6+6*x^5+4*x^4+x^3+9*x+6", "y^2=4*x^6+9*x^4+10*x^3+8*x^2+10*x+6", "y^2=4*x^6+9*x^5+4*x^4+4*x^3+x^2+9*x+10", "y^2=2*x^6+6*x^5+8*x^4+2*x^3+2*x^2+6*x+10", "y^2=10*x^6+2*x^5+4*x^4+3*x^3+9*x+8", "y^2=6*x^6+x^5+3*x^4+x^3+3*x^2+10", "y^2=10*x^6+9*x^5+3*x^4+5*x^3+7*x^2+6*x+7", "y^2=10*x^6+8*x^5+10*x^4+8*x^3+3*x^2+5*x+8", "y^2=9*x^6+5*x^5+4*x^4+2*x^3+7*x^2+2*x+2", "y^2=x^6+3*x^5+5*x^4+x^3+8*x^2+3", "y^2=10*x^6+8*x^5+10*x^4+3*x^3+9*x^2+10*x+10", "y^2=10*x^6+10*x^5+9*x^4+6*x^3+9*x^2+3*x+4", "y^2=x^6+3*x^5+5*x^4+8*x^3+8*x^2+8*x+2"], "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": ["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": ["4.0.88049.1"], "geometric_splitting_field": "4.0.88049.1", "geometric_splitting_polynomials": [[36, -14, 15, -2, 1]], "group_structure_count": 1, "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_n", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.88049.1"], "p": 11, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -4, 13, -44, 121], "poly_str": "1 -4 13 -44 121 ", "primitive_models": [], "q": 11, "real_poly": [1, -4, -9], "simple_distinct": ["2.11.ae_n"], "simple_factors": ["2.11.ae_nA"], "simple_multiplicities": [1], "singular_primes": ["2,F^2-V"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.88049.1", "splitting_polynomials": [[36, -14, 15, -2, 1]], "twist_count": 2, "twists": [["2.11.e_n", "2.121.k_ch", 2]], "weak_equivalence_count": 2, "zfv_index": 4, "zfv_index_factorization": [[2, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 521, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F^2-V"]}