# Stored data for abelian variety isogeny class 1.43.ak, downloaded from the LMFDB on 24 September 2025.
{"abvar_count": 34, "abvar_counts": [34, 1836, 79798, 3422304, 147030994, 6321437964, 271818390598, 11688194851200, 502592567154754, 21611482098798636], "abvar_counts_str": "34 1836 79798 3422304 147030994 6321437964 271818390598 11688194851200 502592567154754 21611482098798636 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.223975234504292], "center_dim": 2, "cohen_macaulay_max": 1, "curve_count": 34, "curve_counts": [34, 1836, 79798, 3422304, 147030994, 6321437964, 271818390598, 11688194851200, 502592567154754, 21611482098798636], "curve_counts_str": "34 1836 79798 3422304 147030994 6321437964 271818390598 11688194851200 502592567154754 21611482098798636 ", "curves": ["y^2=x^3+x+1", "y^2=x^3+20*x+40", "y^2=x^3+9*x+18"], "dim1_distinct": 1, "dim1_factors": 1, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 2, "g": 1, "galois_groups": ["2T1"], "geom_dim1_distinct": 1, "geom_dim1_factors": 1, "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": 1, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.8.1"], "geometric_splitting_field": "2.0.8.1", "geometric_splitting_polynomials": [[2, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 0, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 3, "label": "1.43.ak", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 0, "number_fields": ["2.0.8.1"], "p": 43, "p_rank": 1, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 2]], "poly": [1, -10, 43], "poly_str": "1 -10 43 ", "primitive_models": [], "principal_polarization_count": 3, "q": 43, "real_poly": [1, -10], "simple_distinct": ["1.43.ak"], "simple_factors": ["1.43.akA"], "simple_multiplicities": [1], "singular_primes": ["3,-F-7"], "size": 3, "slopes": ["0A", "1A"], "splitting_field": "2.0.8.1", "splitting_polynomials": [[2, 0, 1]], "twist_count": 2, "twists": [["1.43.k", "1.1849.ao", 2]], "weak_equivalence_count": 2, "zfv_index": 3, "zfv_index_factorization": [[3, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 2, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 72, "zfv_singular_count": 2, "zfv_singular_primes": ["3,-F-7"]}