# Stored data for abelian variety isogeny class 1.139.d, downloaded from the LMFDB on 29 April 2024. {"label": "1.139.d", "g": 1, "p": 139, "q": 139, "poly": [1, 3, 139], "poly_str": "1 3 139 ", "slopes": ["0A", "1A"], "p_rank": 1, "p_rank_deficit": 0, "angles": [0.540608099150392], "angle_rank": 1, "number_fields": ["2.0.547.1"], "galois_groups": ["2T1"], "center_dim": 2, "abvar_counts": [143, 19591, 2684396, 373267323, 51889115993, 7212553286224, 1002544319100467, 139353666821314803, 19370159750451857204, 2692452204227118198151], "abvar_counts_str": "143 19591 2684396 373267323 51889115993 7212553286224 1002544319100467 139353666821314803 19370159750451857204 2692452204227118198151 ", "abvar_count": 143, "curve_counts": [143, 19591, 2684396, 373267323, 51889115993, 7212553286224, 1002544319100467, 139353666821314803, 19370159750451857204, 2692452204227118198151], "curve_counts_str": "143 19591 2684396 373267323 51889115993 7212553286224 1002544319100467 139353666821314803 19370159750451857204 2692452204227118198151 ", "curve_count": 143, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.547.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["1.139.ad", "1.19321.kj", 2]], "twist_count": 2, "max_twist_degree": 2, "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "is_simple": true, "is_geometrically_simple": true, "simple_distinct": ["1.139.d"], "simple_multiplicities": [1], "simple_factors": ["1.139.dA"], "dim1_factors": 1, "dim2_factors": 0, "dim3_factors": 0, "dim4_factors": 0, "dim5_factors": 0, "dim1_distinct": 1, "dim2_distinct": 0, "dim3_distinct": 0, "dim4_distinct": 0, "dim5_distinct": 0, "geom_dim1_factors": 1, "geom_dim2_factors": 0, "geom_dim3_factors": 0, "geom_dim4_factors": 0, "geom_dim5_factors": 0, "geom_dim1_distinct": 1, "geom_dim2_distinct": 0, "geom_dim3_distinct": 0, "geom_dim4_distinct": 0, "geom_dim5_distinct": 0, "has_geom_ss_factor": false, "real_poly": [1, 3], "jacobian_count": 3, "hyp_count": 3, "geometric_splitting_field": "2.0.547.1", "splitting_field": "2.0.547.1", "geometric_splitting_polynomials": [[137, -1, 1]], "splitting_polynomials": [[137, -1, 1]], "is_squarefree": true, "is_geometrically_squarefree": true}