# Stored data for abelian variety isogeny class 2.17.ac_an, downloaded from the LMFDB on 04 March 2026.
{"abvar_count": 241, "abvar_counts": [241, 75433, 23232400, 7002671689, 2012814185521, 582670078873600, 168394279875386449, 48660749902665336969, 14063216057168968704400, 4064235815326600040506153], "abvar_counts_str": "241 75433 23232400 7002671689 2012814185521 582670078873600 168394279875386449 48660749902665336969 14063216057168968704400 4064235815326600040506153 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.0886875362892974, 0.755354202955964], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 16, "curve_counts": [16, 260, 4726, 83844, 1417616, 24139550, 410378768, 6975694084, 118588986262, 2015996087300], "curve_counts_str": "16 260 4726 83844 1417616 24139550 410378768 6975694084 118588986262 2015996087300 ", "curves": [], "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": 6, "g": 2, "galois_groups": ["4T2"], "geom_dim1_distinct": 1, "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": 2, "geometric_extension_degree": 3, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.4.1"], "geometric_splitting_field": "2.0.4.1", "geometric_splitting_polynomials": [[1, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": -1, "has_principal_polarization": -1, "hyp_count": 0, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 0, "label": "2.17.ac_an", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 24, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.144.1"], "p": 17, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 3, 1, 2], [1, 13, 1, 2], [1, 5, 1, 4]], "poly": [1, -2, -13, -34, 289], "poly_str": "1 -2 -13 -34 289 ", "primitive_models": [], "principal_polarization_count": 0, "q": 17, "real_poly": [1, -2, -47], "simple_distinct": ["2.17.ac_an"], "simple_factors": ["2.17.ac_anA"], "simple_multiplicities": [1], "singular_primes": ["2,-F-V+3", "13,7*F-4*V-6"], "size": 15, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.144.1", "splitting_polynomials": [[1, 0, -1, 0, 1]], "twist_count": 16, "twists": [["2.17.c_an", "2.289.abe_xn", 2], ["2.17.e_bm", "2.4913.ahg_bbpu", 3], ["2.17.ai_bv", "2.83521.mk_bdvn", 4], ["2.17.i_bv", "2.83521.mk_bdvn", 4], ["2.17.ae_bm", "2.24137569.cye_edukug", 6], ["2.17.a_be", "2.24137569.cye_edukug", 6], ["2.17.aq_du", "2.582622237229761.hyzudw_ycphxevazog", 12], ["2.17.ak_by", "2.582622237229761.hyzudw_ycphxevazog", 12], ["2.17.ag_s", "2.582622237229761.hyzudw_ycphxevazog", 12], ["2.17.a_abe", "2.582622237229761.hyzudw_ycphxevazog", 12], ["2.17.g_s", "2.582622237229761.hyzudw_ycphxevazog", 12], ["2.17.k_by", "2.582622237229761.hyzudw_ycphxevazog", 12], ["2.17.q_du", "2.582622237229761.hyzudw_ycphxevazog", 12], ["2.17.a_aq", "2.339448671314611904643504117121.apesvayaelse_dnrxcwqxcswgsvnhpnypcg", 24], ["2.17.a_q", "2.339448671314611904643504117121.apesvayaelse_dnrxcwqxcswgsvnhpnypcg", 24]], "weak_equivalence_count": 6, "zfv_index": 208, "zfv_index_factorization": [[2, 4], [13, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 8, "zfv_plus_index": 4, "zfv_plus_index_factorization": [[2, 2]], "zfv_plus_norm": 169, "zfv_singular_count": 4, "zfv_singular_primes": ["2,-F-V+3", "13,7*F-4*V-6"]}