# Stored data for abelian variety isogeny class 1.397.ak, downloaded from the LMFDB on 06 November 2025.
{"abvar_count": 388, "abvar_counts": [388, 158304, 62581684, 24840430464, 9861710966308, 3915101639930976, 1554295351066887124, 617055253426333171200, 244970935600776385650628, 97253461433789493013748064], "abvar_counts_str": "388 158304 62581684 24840430464 9861710966308 3915101639930976 1554295351066887124 617055253426333171200 244970935600776385650628 97253461433789493013748064 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.419259390957026], "center_dim": 2, "curve_count": 388, "curve_counts": [388, 158304, 62581684, 24840430464, 9861710966308, 3915101639930976, 1554295351066887124, 617055253426333171200, 244970935600776385650628, 97253461433789493013748064], "curve_counts_str": "388 158304 62581684 24840430464 9861710966308 3915101639930976 1554295351066887124 617055253426333171200 244970935600776385650628 97253461433789493013748064 ", "curves": ["y^2=x^3+245*x+93", "y^2=x^3+339*x+281", "y^2=x^3+161*x+161", "y^2=x^3+51*x+51", "y^2=x^3+96*x+192", "y^2=x^3+395*x+393", "y^2=x^3+355*x+313", "y^2=x^3+319*x+241", "y^2=x^3+223*x+223", "y^2=x^3+296*x+296", "y^2=x^3+360*x+360", "y^2=x^3+66*x+132"], "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": 12, "label": "1.397.ak", "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": 397, "p_rank": 1, "p_rank_deficit": 0, "poly": [1, -10, 397], "poly_str": "1 -10 397 ", "primitive_models": [], "principal_polarization_count": 12, "q": 397, "real_poly": [1, -10], "simple_distinct": ["1.397.ak"], "simple_factors": ["1.397.akA"], "simple_multiplicities": [1], "size": 12, "slopes": ["0A", "1A"], "splitting_field": "2.0.372.1", "splitting_polynomials": [[93, 0, 1]], "twist_count": 2, "twists": [["1.397.k", "1.157609.bas", 2]]}