# Stored data for abelian variety isogeny class 2.13.a_ao, downloaded from the LMFDB on 21 September 2026.
{"abvar_count": 156, "abvar_counts": [156, 24336, 4831164, 823919616, 137858273436, 23340145594896, 3937376292359484, 665476907732582400, 112455406971449767836, 19004903554754943246096], "abvar_counts_str": "156 24336 4831164 823919616 137858273436 23340145594896 3937376292359484 665476907732582400 112455406971449767836 19004903554754943246096 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.159502860019989, 0.840497139980012], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 14, "curve_counts": [14, 142, 2198, 28846, 371294, 4835518, 62748518, 815804638, 10604499374, 137858055022], "curve_counts_str": "14 142 2198 28846 371294 4835518 62748518 815804638 10604499374 137858055022 ", "curves": ["y^2=x^5+6*x^4+4*x^3+3*x^2+10*x", "y^2=10*x^6+8*x^5+2*x^4+7*x^3+3*x+4", "y^2=3*x^6+x^5+10*x^4+x^3+8*x^2+10*x+11", "y^2=3*x^6+11*x^5+11*x^4+2*x^3+10*x^2+12*x+6", "y^2=6*x^6+9*x^5+9*x^4+4*x^3+7*x^2+11*x+12", "y^2=x^6+3*x^5+3*x^4+7*x^3+3*x^2+5*x", "y^2=x^6+x^3+5", "y^2=x^6+12*x^4+8*x^3+6*x^2+5", "y^2=x^6+x^3+8", "y^2=10*x^6+12*x^5+10*x^4+x^3+5*x^2+3*x+11"], "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": 5, "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": ["2.0.120.1"], "geometric_splitting_field": "2.0.120.1", "geometric_splitting_polynomials": [[30, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 10, "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": 10, "label": "2.13.a_ao", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.14400.7"], "p": 13, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 3, 1, 4], [1, 3, 2, 4], [1, 13, 1, 4]], "poly": [1, 0, -14, 0, 169], "poly_str": "1 0 -14 0 169 ", "primitive_models": [], "principal_polarization_count": 16, "q": 13, "real_poly": [1, 0, -40], "simple_distinct": ["2.13.a_ao"], "simple_factors": ["2.13.a_aoA"], "simple_multiplicities": [1], "singular_primes": ["2,-7*F+6*V+1"], "size": 40, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.14400.7", "splitting_polynomials": [[100, 0, 10, 0, 1]], "twist_count": 4, "twists": [["2.13.ag_z", "2.2197.a_glm", 3], ["2.13.g_z", "2.2197.a_glm", 3], ["2.13.a_o", "2.28561.ky_ekio", 4], ["2.13.g_z", "2.4826809.mwy_ckpvwo", 6]], "weak_equivalence_count": 5, "zfv_index": 16, "zfv_index_factorization": [[2, 4]], "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": 144, "zfv_singular_count": 2, "zfv_singular_primes": ["2,-7*F+6*V+1"]}