# Stored data for abelian variety isogeny class 2.11.d_ac, downloaded from the LMFDB on 07 October 2026.
{"abvar_count": 156, "abvar_counts": [156, 13104, 1971216, 213280704, 26029874676, 3129502521600, 379774427989476, 45944595684658944, 5560321723022501136, 672750156419004356784], "abvar_counts_str": "156 13104 1971216 213280704 26029874676 3129502521600 379774427989476 45944595684658944 5560321723022501136 672750156419004356784 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.316051259389347, 0.982717926056014], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 15, "curve_counts": [15, 109, 1476, 14569, 161625, 1766518, 19488435, 214334929, 2358119196, 25937430829], "curve_counts_str": "15 109 1476 14569 161625 1766518 19488435 214334929 2358119196 25937430829 ", "curves": ["y^2=5*x^6+7*x^5+9*x^4+5*x^2+x+5", "y^2=5*x^6+5*x^4+5*x^3+3*x^2+8*x+5"], "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": ["4T2"], "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": 3, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.35.1"], "geometric_splitting_field": "2.0.35.1", "geometric_splitting_polynomials": [[9, -1, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 2, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 2, "label": "2.11.d_ac", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.11025.3"], "p": 11, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 3, 1, 2]], "poly": [1, 3, -2, 33, 121], "poly_str": "1 3 -2 33 121 ", "primitive_models": [], "principal_polarization_count": 2, "q": 11, "real_poly": [1, 3, -24], "simple_distinct": ["2.11.d_ac"], "simple_factors": ["2.11.d_acA"], "simple_multiplicities": [1], "singular_primes": ["2,F-8*V-27"], "size": 4, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.11025.3", "splitting_polynomials": [[81, -9, -8, -1, 1]], "twist_count": 6, "twists": [["2.11.ad_ac", "2.121.an_bw", 2], ["2.11.ag_bf", "2.1331.fo_lpu", 3], ["2.11.a_n", "2.1771561.ahma_vrmhy", 6], ["2.11.g_bf", "2.1771561.ahma_vrmhy", 6], ["2.11.a_an", "2.3138428376721.amipke_cqbtunmseg", 12]], "weak_equivalence_count": 2, "zfv_index": 2, "zfv_index_factorization": [[2, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 2, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 4, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F-8*V-27"]}