# Stored data for abelian variety isogeny class 2.3.ac_f, downloaded from the LMFDB on 12 May 2026.
{"abvar_count": 7, "abvar_counts": [7, 161, 868, 6601, 69167, 558992, 4481687, 41408073, 388913476, 3501441041], "abvar_counts_str": "7 161 868 6601 69167 558992 4481687 41408073 388913476 3501441041 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.254551732336309, 0.538152604670988], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 2, "curve_counts": [2, 16, 32, 84, 282, 766, 2046, 6308, 19760, 59296], "curve_counts_str": "2 16 32 84 282 766 2046 6308 19760 59296 ", "curves": ["y^2=2*x^6+x^5+2*x^3+2*x^2+x+2"], "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": ["4T3"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 1, "geom_dim2_factors": 1, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["4T3"], "geometric_number_fields": ["4.0.4672.2"], "geometric_splitting_field": "4.0.4672.2", "geometric_splitting_polynomials": [[7, -2, 5, -2, 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": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 1, "label": "2.3.ac_f", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.4672.2"], "p": 3, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [], "poly": [1, -2, 5, -6, 9], "poly_str": "1 -2 5 -6 9 ", "primitive_models": [], "principal_polarization_count": 1, "q": 3, "real_poly": [1, -2, -1], "simple_distinct": ["2.3.ac_f"], "simple_factors": ["2.3.ac_fA"], "simple_multiplicities": [1], "singular_primes": [], "size": 1, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.4672.2", "splitting_polynomials": [[7, -2, 5, -2, 1]], "twist_count": 2, "twists": [["2.3.c_f", "2.9.g_t", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 1, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 73, "zfv_singular_count": 0, "zfv_singular_primes": []}