# Stored data for abelian variety isogeny class 2.59.a_aem, downloaded from the LMFDB on 26 August 2026.
{"abvar_count": 3366, "abvar_counts": [3366, 11329956, 42180184134, 146673123713424, 511116752436550326, 1779167933578145329956, 6193386212890437094623606, 21559172139589689677603672064, 75047496554032958293376956385094, 261240334621285873609898491130706276], "abvar_counts_str": "3366 11329956 42180184134 146673123713424 511116752436550326 1779167933578145329956 6193386212890437094623606 21559172139589689677603672064 75047496554032958293376956385094 261240334621285873609898491130706276 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.0293443469574634, 0.970655653042537], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 60, "curve_counts": [60, 3250, 205380, 12104374, 714924300, 42179834626, 2488651484820, 146830401729694, 8662995818654940, 511116751572459250], "curve_counts_str": "60 3250 205380 12104374 714924300 42179834626 2488651484820 146830401729694 8662995818654940 511116751572459250 ", "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": 4, "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": 2, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.52.1"], "geometric_splitting_field": "2.0.52.1", "geometric_splitting_polynomials": [[13, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": -1, "has_principal_polarization": 1, "hyp_count": 0, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 0, "label": "2.59.a_aem", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 8, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [3], "number_fields": ["4.0.43264.1"], "p": 59, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 2], [1, 11, 1, 2], [1, 17, 1, 4]], "poly": [1, 0, -116, 0, 3481], "poly_str": "1 0 -116 0 3481 ", "primitive_models": [], "principal_polarization_count": 5, "q": 59, "real_poly": [1, 0, -234], "simple_distinct": ["2.59.a_aem"], "simple_factors": ["2.59.a_aemA"], "simple_multiplicities": [1], "singular_primes": ["3,35*F-18*V+1", "3,-39*F+20*V-2"], "size": 14, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.43264.1", "splitting_polynomials": [[49, 0, -12, 0, 1]], "twist_count": 4, "twists": [["2.59.a_em", "2.12117361.atfo_fpigwc", 4], ["2.59.ac_c", "2.146830437604321.adanczk_ejizjacfgcs", 8], ["2.59.c_c", "2.146830437604321.adanczk_ejizjacfgcs", 8]], "weak_equivalence_count": 4, "zfv_index": 9, "zfv_index_factorization": [[3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 8, "zfv_plus_index": 3, "zfv_plus_index_factorization": [[3, 1]], "zfv_plus_norm": 4, "zfv_singular_count": 4, "zfv_singular_primes": ["3,35*F-18*V+1", "3,-39*F+20*V-2"]}