# Stored data for abelian variety isogeny class 2.17.af_j, downloaded from the LMFDB on 06 June 2026.
{"abvar_count": 209, "abvar_counts": [209, 81301, 22958441, 6939934661, 2017271614864, 582370724896741, 168367140256796921, 48662340384964893125, 14063073963773408360369, 4064229137503042720976896], "abvar_counts_str": "209 81301 22958441 6939934661 2017271614864 582370724896741 168367140256796921 48662340384964893125 14063073963773408360369 4064229137503042720976896 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.0620218782480658, 0.622267387770301], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 13, "curve_counts": [13, 283, 4669, 83091, 1420758, 24127147, 410312629, 6975922083, 118587788053, 2015992774878], "curve_counts_str": "13 283 4669 83091 1420758 24127147 410312629 6975922083 118587788053 2015992774878 ", "curves": ["y^2=6*x^6+4*x^5+9*x^4+16*x^3+5*x^2+7*x+7", "y^2=11*x^6+4*x^4+9*x^3+13*x^2+9*x+14", "y^2=7*x^6+12*x^5+5*x^4+3*x^3+6*x^2+16*x+5", "y^2=4*x^6+13*x^5+x^4+6*x^3+13*x^2+11*x", "y^2=7*x^6+13*x^5+12*x^4+8*x^3+6*x^2+3*x+7", "y^2=x^6+16*x^5+3*x^4+3*x^3+2*x^2+12*x+9"], "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": 2, "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": ["4.0.3725.1"], "geometric_splitting_field": "4.0.3725.1", "geometric_splitting_polynomials": [[11, -7, 8, -2, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 6, "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": 6, "label": "2.17.af_j", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.3725.1"], "p": 17, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 11, 1, 5]], "poly": [1, -5, 9, -85, 289], "poly_str": "1 -5 9 -85 289 ", "primitive_models": [], "principal_polarization_count": 6, "q": 17, "real_poly": [1, -5, -25], "simple_distinct": ["2.17.af_j"], "simple_factors": ["2.17.af_jA"], "simple_multiplicities": [1], "singular_primes": ["5,7*F^2+2*F-3*V+14"], "size": 6, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.3725.1", "splitting_polynomials": [[11, -7, 8, -2, 1]], "twist_count": 2, "twists": [["2.17.f_j", "2.289.ah_ahj", 2]], "weak_equivalence_count": 2, "zfv_index": 25, "zfv_index_factorization": [[5, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 5, "zfv_plus_index": 5, "zfv_plus_index_factorization": [[5, 1]], "zfv_plus_norm": 149, "zfv_singular_count": 2, "zfv_singular_primes": ["5,7*F^2+2*F-3*V+14"]}