# Stored data for abelian variety isogeny class 2.11.a_u, downloaded from the LMFDB on 20 December 2025.
{"abvar_count": 142, "abvar_counts": [142, 20164, 1772302, 209786256, 25937248702, 3141054379204, 379749794956702, 45951581514240000, 5559917309964590062, 672740870229400684804], "abvar_counts_str": "142 20164 1772302 209786256 25937248702 3141054379204 379749794956702 45951581514240000 5559917309964590062 672740870229400684804 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.431611174087064, 0.568388825912936], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 12, "curve_counts": [12, 162, 1332, 14326, 161052, 1773042, 19487172, 214367518, 2357947692, 25937072802], "curve_counts_str": "12 162 1332 14326 161052 1773042 19487172 214367518 2357947692 25937072802 ", "curves": ["y^2=6*x^6+2*x^5+8*x^4+4*x^3+6*x^2+9*x+7", "y^2=x^6+4*x^5+5*x^4+8*x^3+x^2+7*x+3", "y^2=x^6+7*x^5+6*x^4+x^2+5*x+8", "y^2=5*x^6+2*x^5+9*x^4+5*x^3+2*x^2+3*x+8", "y^2=10*x^6+4*x^5+7*x^4+10*x^3+4*x^2+6*x+5", "y^2=6*x^6+10*x^5+4*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": 1, "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": ["2.0.84.1"], "geometric_splitting_field": "2.0.84.1", "geometric_splitting_polynomials": [[21, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 6, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 6, "label": "2.11.a_u", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 8, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.112896.3"], "p": 11, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 2], [1, 7, 1, 2], [1, 7, 2, 2]], "poly": [1, 0, 20, 0, 121], "poly_str": "1 0 20 0 121 ", "primitive_models": [], "principal_polarization_count": 8, "q": 11, "real_poly": [1, 0, -2], "simple_distinct": ["2.11.a_u"], "simple_factors": ["2.11.a_uA"], "simple_multiplicities": [1], "singular_primes": [], "size": 8, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.112896.3", "splitting_polynomials": [[121, 0, 20, 0, 1]], "twist_count": 4, "twists": [["2.11.a_au", "2.14641.ame_dcgk", 4], ["2.11.ac_c", "2.214358881.mue_blqzbkw", 8], ["2.11.c_c", "2.214358881.mue_blqzbkw", 8]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 8, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 1764, "zfv_singular_count": 0, "zfv_singular_primes": []}