# Stored data for abelian variety isogeny class 1.397.az, downloaded from the LMFDB on 01 November 2025.
{"abvar_count": 373, "abvar_counts": [373, 157779, 62584924, 24840883539, 9861718510633, 3915101558736576, 1554295346133631789, 617055253371855886275, 244970935601702749541068, 97253461433823039420684939], "abvar_counts_str": "373 157779 62584924 24840883539 9861718510633 3915101558736576 1554295346133631789 617055253371855886275 244970935601702749541068 97253461433823039420684939 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.284136688471989], "center_dim": 2, "curve_count": 373, "curve_counts": [373, 157779, 62584924, 24840883539, 9861718510633, 3915101558736576, 1554295346133631789, 617055253371855886275, 244970935601702749541068, 97253461433823039420684939], "curve_counts_str": "373 157779 62584924 24840883539 9861718510633 3915101558736576 1554295346133631789 617055253371855886275 244970935601702749541068 97253461433823039420684939 ", "curves": ["y^2=x^3+301*x+301", "y^2=x^3+265*x+265", "y^2=x^3+303*x+303", "y^2=x^3+104*x+208", "y^2=x^3+x+1", "y^2=x^3+151*x+151", "y^2=x^3+145*x+290", "y^2=x^3+265*x+133", "y^2=x^3+25*x+25"], "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": ["2.0.107.1"], "geometric_splitting_field": "2.0.107.1", "geometric_splitting_polynomials": [[27, -1, 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": 9, "label": "1.397.az", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 0, "number_fields": ["2.0.107.1"], "p": 397, "p_rank": 1, "p_rank_deficit": 0, "poly": [1, -25, 397], "poly_str": "1 -25 397 ", "primitive_models": [], "principal_polarization_count": 9, "q": 397, "real_poly": [1, -25], "simple_distinct": ["1.397.az"], "simple_factors": ["1.397.azA"], "simple_multiplicities": [1], "size": 9, "slopes": ["0A", "1A"], "splitting_field": "2.0.107.1", "splitting_polynomials": [[27, -1, 1]], "twist_count": 2, "twists": [["1.397.z", "1.157609.gn", 2]]}