# Stored data for abelian variety isogeny class 1.59.af, downloaded from the LMFDB on 09 November 2025.
{"abvar_count": 55, "abvar_counts": [55, 3575, 206140, 12115675, 714871025, 42180366800, 2488653793835, 146830458993075, 8662995789366820, 511116751892264375], "abvar_counts_str": "55 3575 206140 12115675 714871025 42180366800 2488653793835 146830458993075 8662995789366820 511116751892264375 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.394476720982056], "center_dim": 2, "cohen_macaulay_max": 1, "curve_count": 55, "curve_counts": [55, 3575, 206140, 12115675, 714871025, 42180366800, 2488653793835, 146830458993075, 8662995789366820, 511116751892264375], "curve_counts_str": "55 3575 206140 12115675 714871025 42180366800 2488653793835 146830458993075 8662995789366820 511116751892264375 ", "curves": ["y^2=x^3+21*x+21", "y^2=x^3+6*x+12", "y^2=x^3+46*x+46"], "dim1_distinct": 1, "dim1_factors": 1, "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": 1, "g": 1, "galois_groups": ["2T1"], "geom_dim1_distinct": 1, "geom_dim1_factors": 1, "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": 1, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.211.1"], "geometric_splitting_field": "2.0.211.1", "geometric_splitting_polynomials": [[53, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 0, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 3, "label": "1.59.af", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 0, "number_fields": ["2.0.211.1"], "p": 59, "p_rank": 1, "p_rank_deficit": 0, "pic_prime_gens": [[1, 5, 1, 3]], "poly": [1, -5, 59], "poly_str": "1 -5 59 ", "primitive_models": [], "principal_polarization_count": 3, "q": 59, "real_poly": [1, -5], "simple_distinct": ["1.59.af"], "simple_factors": ["1.59.afA"], "simple_multiplicities": [1], "singular_primes": [], "size": 3, "slopes": ["0A", "1A"], "splitting_field": "2.0.211.1", "splitting_polynomials": [[53, -1, 1]], "twist_count": 2, "twists": [["1.59.f", "1.3481.dp", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 3, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 211, "zfv_singular_count": 0, "zfv_singular_primes": []}