# Stored data for abelian variety isogeny class 1.193.u, downloaded from the LMFDB on 06 November 2025.
{"abvar_count": 214, "abvar_counts": [214, 37236, 7185478, 1387562304, 267784389094, 51682542110964, 9974730448225078, 1925122950173164800, 371548729944690128374, 71708904873182323419636], "abvar_counts_str": "214 37236 7185478 1387562304 267784389094 51682542110964 9974730448225078 1925122950173164800 371548729944690128374 71708904873182323419636 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.755773725409924], "center_dim": 2, "curve_count": 214, "curve_counts": [214, 37236, 7185478, 1387562304, 267784389094, 51682542110964, 9974730448225078, 1925122950173164800, 371548729944690128374, 71708904873182323419636], "curve_counts_str": "214 37236 7185478 1387562304 267784389094 51682542110964 9974730448225078 1925122950173164800 371548729944690128374 71708904873182323419636 ", "curves": ["y^2=x^3+99*x+109", "y^2=x^3+157*x+157", "y^2=x^3+95*x+89", "y^2=x^3+103*x+129"], "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, "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": ["2.0.372.1"], "geometric_splitting_field": "2.0.372.1", "geometric_splitting_polynomials": [[93, 0, 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": 4, "label": "1.193.u", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 0, "number_fields": ["2.0.372.1"], "p": 193, "p_rank": 1, "p_rank_deficit": 0, "poly": [1, 20, 193], "poly_str": "1 20 193 ", "primitive_models": [], "principal_polarization_count": 4, "q": 193, "real_poly": [1, 20], "simple_distinct": ["1.193.u"], "simple_factors": ["1.193.uA"], "simple_multiplicities": [1], "size": 4, "slopes": ["0A", "1A"], "splitting_field": "2.0.372.1", "splitting_polynomials": [[93, 0, 1]], "twist_count": 2, "twists": [["1.193.au", "1.37249.ao", 2]]}