# Stored data for abelian variety isogeny class 1.47.an, downloaded from the LMFDB on 08 September 2025.
{"abvar_count": 35, "abvar_counts": [35, 2135, 103460, 4878475, 229346425, 10779290480, 506624030815, 23811294964275, 1119130538248940, 52599132692512175], "abvar_counts_str": "35 2135 103460 4878475 229346425 10779290480 506624030815 23811294964275 1119130538248940 52599132692512175 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.102979434792275], "center_dim": 2, "cohen_macaulay_max": 1, "curve_count": 35, "curve_counts": [35, 2135, 103460, 4878475, 229346425, 10779290480, 506624030815, 23811294964275, 1119130538248940, 52599132692512175], "curve_counts_str": "35 2135 103460 4878475 229346425 10779290480 506624030815 23811294964275 1119130538248940 52599132692512175 ", "curves": ["y^2=x^3+18*x+18"], "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": ["2.0.19.1"], "geometric_splitting_field": "2.0.19.1", "geometric_splitting_polynomials": [[5, -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": 1, "label": "1.47.an", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 0, "number_fields": ["2.0.19.1"], "p": 47, "p_rank": 1, "p_rank_deficit": 0, "pic_prime_gens": [], "poly": [1, -13, 47], "poly_str": "1 -13 47 ", "primitive_models": [], "principal_polarization_count": 1, "q": 47, "real_poly": [1, -13], "simple_distinct": ["1.47.an"], "simple_factors": ["1.47.anA"], "simple_multiplicities": [1], "singular_primes": [], "size": 1, "slopes": ["0A", "1A"], "splitting_field": "2.0.19.1", "splitting_polynomials": [[5, -1, 1]], "twist_count": 2, "twists": [["1.47.n", "1.2209.acx", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 1, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 19, "zfv_singular_count": 0, "zfv_singular_primes": []}