# Stored data for abelian variety isogeny class 1.625.aj, downloaded from the LMFDB on 26 October 2025.
{"abvar_count": 617, "abvar_counts": [617, 391795, 244156772, 152587305315, 95367416281577, 59604645002978560, 37252902996266837657, 23283064365349549705155, 14551915228359235277327012, 9094947017729237213627487475], "abvar_counts_str": "617 391795 244156772 152587305315 95367416281577 59604645002978560 37252902996266837657 23283064365349549705155 14551915228359235277327012 9094947017729237213627487475 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.442390223302903], "center_dim": 2, "curve_count": 617, "curve_counts": [617, 391795, 244156772, 152587305315, 95367416281577, 59604645002978560, 37252902996266837657, 23283064365349549705155, 14551915228359235277327012, 9094947017729237213627487475], "curve_counts_str": "617 391795 244156772 152587305315 95367416281577 59604645002978560 37252902996266837657 23283064365349549705155 14551915228359235277327012 9094947017729237213627487475 ", "curves": ["y^2=x^3+a^162*x+a^163", "y^2=x^3+a^34*x+a^35", "y^2=x^3+a^178*x+a^179", "y^2=x^3+a^610*x+a^611", "y^2=x^3+a^498*x+a^499", "y^2=x^3+a^258*x+a^259", "y^2=x^3+a^546*x+a^547", "y^2=x^3+a^226*x+a^227"], "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": ["2.0.2419.1"], "geometric_splitting_field": "2.0.2419.1", "geometric_splitting_polynomials": [[605, -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": 8, "label": "1.625.aj", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 0, "number_fields": ["2.0.2419.1"], "p": 5, "p_rank": 1, "p_rank_deficit": 0, "poly": [1, -9, 625], "poly_str": "1 -9 625 ", "primitive_models": [], "principal_polarization_count": 8, "q": 625, "real_poly": [1, -9], "simple_distinct": ["1.625.aj"], "simple_factors": ["1.625.ajA"], "simple_multiplicities": [1], "size": 8, "slopes": ["0A", "1A"], "splitting_field": "2.0.2419.1", "splitting_polynomials": [[605, -1, 1]], "twist_count": 2, "twists": [["1.625.j", "1.390625.bsz", 2]]}