# Stored data for abelian variety isogeny class 3.13.ae_bn_adu, downloaded from the LMFDB on 16 August 2026.
{"abvar_count": 1966, "abvar_counts": [1966, 6924252, 11148377974, 23021116018416, 51057273162057886, 112442037699181688028, 247046981393594672108902, 542817121215674017303600896, 1192557637718642856969635927038, 2619993401902020059648194801726812], "abvar_counts_str": "1966 6924252 11148377974 23021116018416 51057273162057886 112442037699181688028 247046981393594672108902 542817121215674017303600896 1192557637718642856969635927038 2619993401902020059648194801726812 ", "angle_corank": 0, "angle_rank": 3, "angles": [0.337973395744718, 0.430047944728732, 0.548126718835677], "center_dim": 6, "curve_count": 10, "curve_counts": [10, 232, 2308, 28220, 370360, 4826236, 62744062, 815755292, 10604715862, 137858373892], "curve_counts_str": "10 232 2308 28220 370360 4826236 62744062 815755292 10604715862 137858373892 ", "curves": ["y^2=x^8+11*x^7+7*x^6+3*x^5+7*x^4+6*x^3+9*x^2+3*x+7", "y^2=2*x^8+4*x^7+12*x^6+2*x^5+4*x^4+x^3+2*x^2+x+6"], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 1, "dim3_factors": 1, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 3, "galois_groups": ["6T11"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "geom_dim3_distinct": 1, "geom_dim3_factors": 1, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 6, "geometric_extension_degree": 1, "geometric_galois_groups": ["6T11"], "geometric_number_fields": ["6.0.31747253184.1"], "geometric_splitting_field": "6.0.31747253184.1", "geometric_splitting_polynomials": [[1966, -186, 422, -38, 34, -2, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 2, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "label": "3.13.ae_bn_adu", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 4, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["6.0.31747253184.1"], "p": 13, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, -4, 39, -98, 507, -676, 2197], "poly_str": "1 -4 39 -98 507 -676 2197 ", "primitive_models": [], "q": 13, "real_poly": [1, -4, 0, 6], "simple_distinct": ["3.13.ae_bn_adu"], "simple_factors": ["3.13.ae_bn_aduA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.31747253184.1", "splitting_polynomials": [[1966, -186, 422, -38, 34, -2, 1]], "twist_count": 2, "twists": [["3.13.e_bn_du", "3.169.ck_cpj_bquq", 2]]}