# Stored data for abelian variety isogeny class 2.11.a_ad, downloaded from the LMFDB on 09 September 2025.
{"abvar_count": 119, "abvar_counts": [119, 14161, 1772624, 221265625, 25937221079, 3142195845376, 379749865455359, 45939009972515625, 5559917309045808464, 672739437300921924241], "abvar_counts_str": "119 14161 1772624 221265625 25937221079 3142195845376 379749865455359 45939009972515625 5559917309045808464 672739437300921924241 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.228229222880321, 0.771770777119679], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 12, "curve_counts": [12, 116, 1332, 15108, 161052, 1773686, 19487172, 214308868, 2357947692, 25937017556], "curve_counts_str": "12 116 1332 15108 161052 1773686 19487172 214308868 2357947692 25937017556 ", "curves": ["y^2=x^6+8*x^5+4*x^4+8*x^3+6*x^2+7*x+2", "y^2=10*x^6+8*x^5+4*x^4+3*x^3+9*x^2+8", "y^2=9*x^6+5*x^5+8*x^4+6*x^3+7*x^2+5", "y^2=4*x^6+3*x^5+7*x^4+7*x^3+x^2+5*x+2", "y^2=10*x^6+10*x^4+9*x^3+10*x^2+10", "y^2=9*x^6+9*x^4+7*x^3+9*x^2+9", "y^2=7*x^6+x^5+x^4+9*x^3+7*x^2+x+1", "y^2=3*x^6+2*x^5+2*x^4+7*x^3+3*x^2+2*x+2"], "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": 8, "g": 2, "galois_groups": ["2T1", "2T1"], "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": 2, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.19.1"], "geometric_splitting_field": "2.0.19.1", "geometric_splitting_polynomials": [[5, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 8, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 8, "label": "2.11.a_ad", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.19.1", "2.0.19.1"], "p": 11, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 0, -3, 0, 121], "poly_str": "1 0 -3 0 121 ", "primitive_models": [], "q": 11, "real_poly": [1, 0, -25], "simple_distinct": ["1.11.af", "1.11.f"], "simple_factors": ["1.11.afA", "1.11.fA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,9*F-V-3", "5,6*F+2", "5,F-12"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.19.1", "splitting_polynomials": [[5, -1, 1]], "twist_count": 6, "twists": [["2.11.ak_bv", "2.121.ag_jr", 2], ["2.11.k_bv", "2.121.ag_jr", 2], ["2.11.a_d", "2.14641.ry_etqh", 4], ["2.11.af_o", "2.1771561.dds_kftso", 6], ["2.11.f_o", "2.1771561.dds_kftso", 6]], "weak_equivalence_count": 8, "zfv_index": 100, "zfv_index_factorization": [[2, 2], [5, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 361, "zfv_singular_count": 6, "zfv_singular_primes": ["2,9*F-V-3", "5,6*F+2", "5,F-12"]}