# Stored data for abelian variety isogeny class 1.3.a, downloaded from the LMFDB on 17 August 2022.
{"label": "1.3.a", "g": 1, "p": 3, "q": 3, "poly": [1, 0, 3], "poly_str": "1 0 3 ", "slopes": ["1/2A", "1/2B"], "p_rank": 0, "p_rank_deficit": 1, "angles": [0.5], "angle_rank": 0, "number_fields": ["2.0.3.1"], "galois_groups": ["2T1"], "center_dim": 2, "abvar_counts": [4, 16, 28, 64, 244, 784, 2188, 6400, 19684, 59536], "abvar_counts_str": "4 16 28 64 244 784 2188 6400 19684 59536 ", "abvar_count": 4, "curve_counts": [4, 16, 28, 64, 244, 784, 2188, 6400, 19684, 59536], "curve_counts_str": "4 16 28 64 244 784 2188 6400 19684 59536 ", "curve_count": 4, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 2, "geometric_center_dim": 1, "geometric_number_fields": ["1.1.1.1"], "geometric_galois_groups": ["1T1"], "primitive_models": [], "is_primitive": true, "twists": [["1.3.ad", "1.27.a", 3], ["1.3.d", "1.27.a", 3], ["1.3.d", "1.729.cc", 6]], "twist_count": 3, "max_twist_degree": 6, "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "is_simple": true, "is_geometrically_simple": true, "simple_distinct": ["1.3.a"], "simple_multiplicities": [1], "simple_factors": ["1.3.aA"], "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": true, "real_poly": [1], "jacobian_count": 2, "hyp_count": 2, "geometric_splitting_field": "1.1.1.1", "splitting_field": "2.0.3.1", "geometric_splitting_polynomials": [[0, 1]], "splitting_polynomials": [[1, -1, 1]], "is_squarefree": true, "is_geometrically_squarefree": true}