# Stored data for abelian variety isogeny class 2.17.k_cg, downloaded from the LMFDB on 09 October 2026.
{"abvar_count": 528, "abvar_counts": [528, 88704, 23029776, 7045226496, 2015213207568, 582428009471616, 168393457533042192, 48660773969287839744, 14063074605546885659664, 4064231720210425246353024], "abvar_counts_str": "528 88704 23029776 7045226496 2015213207568 582428009471616 168393457533042192 48660773969287839744 14063074605546885659664 4064231720210425246353024 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.661206336803342, 0.759367463009539], "center_dim": 4, "cohen_macaulay_max": 2, "curve_count": 28, "curve_counts": [28, 306, 4684, 84350, 1419308, 24129522, 410376764, 6975697534, 118587793468, 2015994055986], "curve_counts_str": "28 306 4684 84350 1419308 24129522 410376764 6975697534 118587793468 2015994055986 ", "curves": ["y^2=13*x^6+7*x^5+4*x^4+16*x^2+10*x+16", "y^2=4*x^6+14*x^5+x^4+x^3+x^2+14*x+4", "y^2=8*x^6+10*x^5+11*x^4+3*x^3+11*x^2+10*x+8", "y^2=15*x^6+10*x^4+12*x^3+10*x^2+15", "y^2=15*x^6+13*x^5+9*x^4+8*x^3+4*x^2+16*x+13", "y^2=2*x^6+8*x^5+2*x^4+5*x^3+x^2+2*x+13", "y^2=6*x^6+9*x^5+16*x^4+14*x^3+x^2+9*x+11", "y^2=6*x^5+4*x^4+11*x^3+4*x^2+6*x"], "dim1_distinct": 2, "dim1_factors": 2, "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": 5, "g": 2, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 2, "geom_dim1_factors": 2, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "2T1"], "geometric_number_fields": ["2.0.52.1", "2.0.8.1"], "geometric_splitting_field": "4.0.43264.1", "geometric_splitting_polynomials": [[49, 0, -12, 0, 1]], "group_structure_count": 4, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 8, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 8, "label": "2.17.k_cg", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.52.1", "2.0.8.1"], "p": 17, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[2, 3, 1, 4], [1, 7, 1, 4]], "poly": [1, 10, 58, 170, 289], "poly_str": "1 10 58 170 289 ", "primitive_models": [], "principal_polarization_count": 14, "q": 17, "real_poly": [1, 10, 24], "simple_distinct": ["1.17.e", "1.17.g"], "simple_factors": ["1.17.eA", "1.17.gA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,7*F+5"], "size": 24, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.43264.1", "splitting_polynomials": [[49, 0, -12, 0, 1]], "twist_count": 4, "twists": [["2.17.ak_cg", "2.289.q_uw", 2], ["2.17.ac_k", "2.289.q_uw", 2], ["2.17.c_k", "2.289.q_uw", 2]], "weak_equivalence_count": 6, "zfv_index": 8, "zfv_index_factorization": [[2, 3]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_pic_size": 8, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 1664, "zfv_singular_count": 2, "zfv_singular_primes": ["2,7*F+5"]}