# Stored data for abelian variety isogeny class 2.11.d_n, downloaded from the LMFDB on 17 July 2026.
{"abvar_count": 171, "abvar_counts": [171, 16929, 1783701, 216369549, 25704421776, 3138823242225, 379995505899201, 45947727009873909, 5559994156662632151, 672739128586664688384], "abvar_counts_str": "171 16929 1783701 216369549 25704421776 3138823242225 379995505899201 45947727009873909 5559994156662632151 672739128586664688384 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.409825870073168, 0.761311735013065], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 15, "curve_counts": [15, 139, 1341, 14779, 159600, 1771783, 19499775, 214349539, 2357980281, 25937005654], "curve_counts_str": "15 139 1341 14779 159600 1771783 19499775 214349539 2357980281 25937005654 ", "curves": ["y^2=9*x^6+8*x^5+4*x^3+8*x+4", "y^2=5*x^6+6*x^5+2*x^4+3*x^3+10*x^2+10*x", "y^2=5*x^6+10*x^5+2*x^3+2*x^2+7*x+1", "y^2=8*x^6+2*x^5+9*x^4+9*x^3+8*x^2+6", "y^2=9*x^6+9*x^5+3*x^4+7*x^2+5*x+4", "y^2=x^6+3*x^5+10*x^4+9*x^3+3*x^2+6*x+1", "y^2=7*x^6+4*x^4+2*x^3+6*x^2+2*x+6", "y^2=10*x^6+8*x^5+9*x^4+2*x^3+10*x^2+4*x", "y^2=10*x^6+10*x^5+9*x^4+6*x^3+7*x^2+5*x+4", "y^2=5*x^5+3*x^4+x^3+7*x^2+6*x+9", "y^2=3*x^6+9*x^5+x^4+x^3+3*x^2+3", "y^2=9*x^6+5*x^5+2*x^4+7*x^3+4*x^2+2*x+1", "y^2=10*x^5+3*x^4+2*x^3+8*x^2+9*x+2", "y^2=9*x^6+9*x^5+5*x^4+8*x^3+x^2+5", "y^2=8*x^5+7*x^4+8*x^3+4*x^2+7*x+9"], "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": ["4.0.20725.1"], "geometric_splitting_field": "4.0.20725.1", "geometric_splitting_polynomials": [[59, -13, 15, -1, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 15, "is_cyclic": false, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 15, "label": "2.11.d_n", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [3], "number_fields": ["4.0.20725.1"], "p": 11, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 11, 1, 12]], "poly": [1, 3, 13, 33, 121], "poly_str": "1 3 13 33 121 ", "primitive_models": [], "principal_polarization_count": 15, "q": 11, "real_poly": [1, 3, -9], "simple_distinct": ["2.11.d_n"], "simple_factors": ["2.11.d_nA"], "simple_multiplicities": [1], "singular_primes": ["3,-2*F-7", "3,-5*F+7"], "size": 21, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.20725.1", "splitting_polynomials": [[59, -13, 15, -1, 1]], "twist_count": 2, "twists": [["2.11.ad_n", "2.121.r_if", 2]], "weak_equivalence_count": 4, "zfv_index": 9, "zfv_index_factorization": [[3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 12, "zfv_plus_index": 3, "zfv_plus_index_factorization": [[3, 1]], "zfv_plus_norm": 829, "zfv_singular_count": 4, "zfv_singular_primes": ["3,-2*F-7", "3,-5*F+7"]}