# Stored data for abelian variety isogeny class 2.59.aba_ky, downloaded from the LMFDB on 03 November 2025.
{"abvar_count": 2206, "abvar_counts": [2206, 11749156, 42175272022, 146879347929808, 511143316712449366, 1779203991912825643204, 6193385670214361313347038, 21559176381555576503025841152, 75047496467984640153881827289998, 261240335938175101909644613490511556], "abvar_counts_str": "2206 11749156 42175272022 146879347929808 511143316712449366 1779203991912825643204 6193385670214361313347038 21559176381555576503025841152 75047496467984640153881827289998 261240335938175101909644613490511556 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.0914926884064464, 0.237894336643913], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 34, "curve_counts": [34, 3374, 205354, 12121398, 714961454, 42180689486, 2488651266758, 146830430619934, 8662995808722082, 511116754148953214], "curve_counts_str": "34 3374 205354 12121398 714961454 42180689486 2488651266758 146830430619934 8662995808722082 511116754148953214 ", "curves": ["y^2=23*x^6+4*x^5+2*x^4+9*x^3+16*x^2+49*x+28", "y^2=21*x^6+44*x^5+32*x^4+41*x^3+51*x^2+19*x+23", "y^2=10*x^6+9*x^5+47*x^4+54*x^3+23*x^2+46*x+42", "y^2=36*x^6+54*x^5+43*x^4+6*x^3+52*x^2+56*x+28", "y^2=44*x^6+48*x^5+3*x^3+21*x^2+33*x+42", "y^2=23*x^6+10*x^5+20*x^4+40*x^3+40*x^2+52*x+2", "y^2=3*x^6+23*x^5+10*x^4+21*x^3+16*x^2+5*x+28", "y^2=39*x^6+4*x^5+48*x^4+32*x^3+24*x^2+15*x+23"], "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": ["4.0.297792.1"], "geometric_splitting_field": "4.0.297792.1", "geometric_splitting_polynomials": [[142, 8, 32, -2, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 8, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 8, "label": "2.59.aba_ky", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.297792.1"], "p": 59, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 2], [1, 11, 1, 4]], "poly": [1, -26, 284, -1534, 3481], "poly_str": "1 -26 284 -1534 3481 ", "primitive_models": [], "principal_polarization_count": 8, "q": 59, "real_poly": [1, -26, 166], "simple_distinct": ["2.59.aba_ky"], "simple_factors": ["2.59.aba_kyA"], "simple_multiplicities": [1], "singular_primes": [], "size": 8, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.297792.1", "splitting_polynomials": [[142, 8, 32, -2, 1]], "twist_count": 2, "twists": [["2.59.ba_ky", "2.3481.aee_lpy", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 8, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 2068, "zfv_singular_count": 0, "zfv_singular_primes": []}