# Stored data for abelian variety isogeny class 1.397.j, downloaded from the LMFDB on 06 May 2024.
{"label": "1.397.j", "g": 1, "p": 397, "q": 397, "poly": [1, 9, 397], "poly_str": "1 9 397 ", "slopes": ["0A", "1A"], "p_rank": 1, "p_rank_deficit": 0, "angles": [0.572515441930916], "angle_rank": 1, "number_fields": ["2.0.1507.1"], "galois_groups": ["2T1"], "center_dim": 2, "abvar_counts": [407, 158323, 62560784, 24840403731, 9861722666147, 3915101659158976, 1554295346132843567, 617055253416720813123, 244970935602403973547728, 97253461433792898380587243], "abvar_counts_str": "407 158323 62560784 24840403731 9861722666147 3915101659158976 1554295346132843567 617055253416720813123 244970935602403973547728 97253461433792898380587243 ", "abvar_count": 407, "curve_counts": [407, 158323, 62560784, 24840403731, 9861722666147, 3915101659158976, 1554295346132843567, 617055253416720813123, 244970935602403973547728, 97253461433792898380587243], "curve_counts_str": "407 158323 62560784 24840403731 9861722666147 3915101659158976 1554295346132843567 617055253416720813123 244970935602403973547728 97253461433792898380587243 ", "curve_count": 407, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.1507.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["1.397.aj", "1.157609.bbl", 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": ["1.397.j"], "simple_multiplicities": [1], "simple_factors": ["1.397.jA"], "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, 9], "jacobian_count": 4, "hyp_count": 4, "geometric_splitting_field": "2.0.1507.1", "splitting_field": "2.0.1507.1", "geometric_splitting_polynomials": [[377, -1, 1]], "splitting_polynomials": [[377, -1, 1]], "is_squarefree": true, "is_geometrically_squarefree": true}