# Stored data for abelian variety isogeny class 2.3.ad_f, downloaded from the LMFDB on 16 December 2025.
{"abvar_count": 3, "abvar_counts": [3, 81, 549, 4941, 62448, 578097, 4778049, 43050933, 396546543, 3534057216], "abvar_counts_str": "3 81 549 4941 62448 578097 4778049 43050933 396546543 3534057216 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.0975263560045732, 0.527857038681296], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 1, "curve_counts": [1, 11, 19, 59, 256, 791, 2185, 6563, 20143, 59846], "curve_counts_str": "1 11 19 59 256 791 2185 6563 20143 59846 ", "curves": ["y^2=2*x^5+2*x^4+x^3+x^2+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": ["4T1"], "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": ["4T1"], "geometric_number_fields": ["4.0.2197.1"], "geometric_splitting_field": "4.0.2197.1", "geometric_splitting_polynomials": [[3, 4, 2, -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": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 1, "label": "2.3.ad_f", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.2197.1"], "p": 3, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -3, 5, -9, 9], "poly_str": "1 -3 5 -9 9 ", "primitive_models": [], "q": 3, "real_poly": [1, -3, -1], "simple_distinct": ["2.3.ad_f"], "simple_factors": ["2.3.ad_fA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.2197.1", "splitting_polynomials": [[3, 4, 2, -1, 1]], "twist_count": 2, "twists": [["2.3.d_f", "2.9.b_al", 2]], "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": 13, "zfv_singular_count": 0, "zfv_singular_primes": []}