# Stored data for abelian variety isogeny class 2.3.a_ab, downloaded from the LMFDB on 16 December 2025.
{"abvar_count": 9, "abvar_counts": [9, 81, 756, 9801, 58689, 571536, 4787001, 41409225, 387381204, 3444398721], "abvar_counts_str": "9 81 756 9801 58689 571536 4787001 41409225 387381204 3444398721 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.223349810480943, 0.776650189519057], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 4, "curve_counts": [4, 8, 28, 116, 244, 782, 2188, 6308, 19684, 58328], "curve_counts_str": "4 8 28 116 244 782 2188 6308 19684 58328 ", "curves": ["y^2=x^6+2*x^5+x^4+x^3+2*x^2+1"], "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": ["2.0.35.1"], "geometric_splitting_field": "2.0.35.1", "geometric_splitting_polynomials": [[9, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 1, "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": 1, "label": "2.3.a_ab", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.19600.1"], "p": 3, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 0, -1, 0, 9], "poly_str": "1 0 -1 0 9 ", "primitive_models": [], "q": 3, "real_poly": [1, 0, -7], "simple_distinct": ["2.3.a_ab"], "simple_factors": ["2.3.a_abA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.19600.1", "splitting_polynomials": [[9, 0, -1, 0, 1]], "twist_count": 2, "twists": [["2.3.a_b", "2.81.bi_rj", 4]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 25, "zfv_singular_count": 0, "zfv_singular_primes": []}