# Stored data for abelian variety isogeny class 2.11.a_k, downloaded from the LMFDB on 14 September 2026.
{"abvar_count": 132, "abvar_counts": [132, 17424, 1768932, 218566656, 25937651652, 3129120420624, 379749839847972, 45953639424000000, 5559917309278400772, 672761773220498329104], "abvar_counts_str": "132 17424 1768932 218566656 25937651652 3129120420624 379749839847972 45953639424000000 5559917309278400772 672761773220498329104 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.325099143859479, 0.674900856140521], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 12, "curve_counts": [12, 142, 1332, 14926, 161052, 1766302, 19487172, 214377118, 2357947692, 25937878702], "curve_counts_str": "12 142 1332 14926 161052 1766302 19487172 214377118 2357947692 25937878702 ", "curves": ["y^2=2*x^6+9*x^5+2*x^4+9*x^3+x^2+5*x+3", "y^2=x^6+4*x^5+6*x^4+6*x^3+6*x^2+4*x+3", "y^2=7*x^6+6*x^5+2*x^4+6*x^3+9*x^2+6*x+4", "y^2=9*x^6+3*x^5+8*x^4+9*x^3+5*x^2+2*x+7", "y^2=7*x^6+6*x^5+5*x^4+7*x^3+10*x^2+4*x+3", "y^2=x^6+x^3+6", "y^2=10*x^6+7*x^5+3*x^4+6*x^3+2*x^2+4*x+10", "y^2=9*x^6+3*x^5+6*x^4+x^3+4*x^2+8*x+9", "y^2=7*x^5+6*x^4+4*x^3+4*x^2+4*x+5", "y^2=3*x^5+x^4+8*x^3+8*x^2+8*x+10", "y^2=3*x^6+9*x^5+6*x^4+9*x^3+5*x^2+6*x+8", "y^2=6*x^6+10*x^5+2*x^4+6*x^3+4*x^2+7*x+4", "y^2=x^6+10*x^5+10*x^4+8*x^2+3*x+2", "y^2=2*x^6+9*x^5+9*x^4+5*x^2+6*x+4", "y^2=7*x^6+x^5+5*x^4+4*x^3+10*x^2+4*x+1", "y^2=x^6+x^3+10", "y^2=3*x^6+5*x^5+9*x^3+7*x^2+8*x+3", "y^2=2*x^6+x^5+10*x^4+6*x^3+6*x^2+3*x+1", "y^2=4*x^6+2*x^5+9*x^4+x^3+x^2+6*x+2", "y^2=5*x^6+7*x^5+7*x^4+4*x^2+7*x+6", "y^2=x^6+x^3+2", "y^2=6*x^6+9*x^5+7*x^4+3*x^3+5*x^2+2*x+10", "y^2=x^6+7*x^5+3*x^4+6*x^3+10*x^2+4*x+9", "y^2=8*x^6+2*x^5+5*x^3+7*x+4"], "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": 6, "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": 2, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.24.1"], "geometric_splitting_field": "2.0.24.1", "geometric_splitting_polynomials": [[6, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 24, "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": 24, "label": "2.11.a_k", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.2304.1"], "p": 11, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 3, 1, 8], [1, 11, 1, 8]], "poly": [1, 0, 10, 0, 121], "poly_str": "1 0 10 0 121 ", "primitive_models": [], "principal_polarization_count": 31, "q": 11, "real_poly": [1, 0, -12], "simple_distinct": ["2.11.a_k"], "simple_factors": ["2.11.a_kA"], "simple_multiplicities": [1], "singular_primes": ["2,F+1"], "size": 40, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.2304.1", "splitting_polynomials": [[1, 0, 4, 0, 1]], "twist_count": 6, "twists": [["2.11.a_ak", "2.14641.ky_cvdu", 4], ["2.11.ai_bg", "2.214358881.bazk_brcckze", 8], ["2.11.i_bg", "2.214358881.bazk_brcckze", 8], ["2.11.ag_x", "2.3138428376721.aotxpk_dgorfkytoo", 12], ["2.11.g_x", "2.3138428376721.aotxpk_dgorfkytoo", 12]], "weak_equivalence_count": 6, "zfv_index": 32, "zfv_index_factorization": [[2, 5]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 16, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 1024, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F+1"]}