# Stored data for abelian variety isogeny class 2.59.aba_kz, downloaded from the LMFDB on 14 September 2025.
{"abvar_count": 2207, "abvar_counts": [2207, 11756689, 42191404388, 146898335955497, 511158745595533447, 1779213416085892080784, 6193390031068187781573791, 21559177758896338648436524553, 75047496574702120256993508049796, 261240335715388060015377803836939009], "abvar_counts_str": "2207 11756689 42191404388 146898335955497 511158745595533447 1779213416085892080784 6193390031068187781573791 21559177758896338648436524553 75047496574702120256993508049796 261240335715388060015377803836939009 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.112413476670757, 0.228039227441272], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 34, "curve_counts": [34, 3376, 205432, 12122964, 714983034, 42180912910, 2488653019054, 146830440000420, 8662995821040856, 511116753713070336], "curve_counts_str": "34 3376 205432 12122964 714983034 42180912910 2488653019054 146830440000420 8662995821040856 511116753713070336 ", "curves": ["y^2=5*x^6+4*x^5+58*x^4+35*x^3+43*x^2+10*x+4", "y^2=6*x^6+50*x^5+2*x^4+7*x^3+26*x^2+55*x+11", "y^2=8*x^6+36*x^5+30*x^4+4*x^3+24*x^2+16*x+47", "y^2=48*x^6+34*x^5+35*x^4+17*x^3+8*x^2+46*x+56"], "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": ["4.0.183872.5"], "geometric_splitting_field": "4.0.183872.5", "geometric_splitting_polynomials": [[191, -6, 33, -2, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 4, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 4, "label": "2.59.aba_kz", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.183872.5"], "p": 59, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 7, 1, 4]], "poly": [1, -26, 285, -1534, 3481], "poly_str": "1 -26 285 -1534 3481 ", "primitive_models": [], "principal_polarization_count": 4, "q": 59, "real_poly": [1, -26, 167], "simple_distinct": ["2.59.aba_kz"], "simple_factors": ["2.59.aba_kzA"], "simple_multiplicities": [1], "singular_primes": [], "size": 4, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.183872.5", "splitting_polynomials": [[191, -6, 33, -2, 1]], "twist_count": 2, "twists": [["2.59.ba_kz", "2.3481.aec_mlv", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 4, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 2873, "zfv_singular_count": 0, "zfv_singular_primes": []}