# Stored data for abelian variety isogeny class 2.2.a_ab, downloaded from the LMFDB on 14 September 2026.
{"abvar_count": 4, "abvar_counts": [4, 16, 76, 576, 964, 5776, 16636, 57600, 261364, 929296], "abvar_counts_str": "4 16 76 576 964 5776 16636 57600 261364 929296 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.209784688372417, 0.790215311627583], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 3, "curve_counts": [3, 3, 9, 31, 33, 87, 129, 223, 513, 903], "curve_counts_str": "3 3 9 31 33 87 129 223 513 903 ", "curves": ["y^2+(x^2+x)*y=x^5+x^3+x^2+x"], "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": ["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": ["2.0.15.1"], "geometric_splitting_field": "2.0.15.1", "geometric_splitting_polynomials": [[4, -1, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 1, "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": 1, "label": "2.2.a_ab", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.225.1"], "p": 2, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [], "poly": [1, 0, -1, 0, 4], "poly_str": "1 0 -1 0 4 ", "primitive_models": [], "principal_polarization_count": 2, "q": 2, "real_poly": [1, 0, -5], "simple_distinct": ["2.2.a_ab"], "simple_factors": ["2.2.a_abA"], "simple_multiplicities": [1], "singular_primes": ["2,V-5", "2,F-2*V-3"], "size": 4, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.225.1", "splitting_polynomials": [[1, 1, 2, -1, 1]], "twist_count": 4, "twists": [["2.2.ad_f", "2.8.a_l", 3], ["2.2.d_f", "2.8.a_l", 3], ["2.2.a_b", "2.16.o_dd", 4], ["2.2.ad_f", "2.64.w_jp", 6]], "weak_equivalence_count": 4, "zfv_index": 4, "zfv_index_factorization": [[2, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 1, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 9, "zfv_singular_count": 4, "zfv_singular_primes": ["2,V-5", "2,F-2*V-3"]}