# Stored data for abelian variety isogeny class 1.625.abw, downloaded from the LMFDB on 26 October 2025.
{"abvar_count": 578, "abvar_counts": [578, 389572, 244120034, 152587560960, 95367428686658, 59604644839641412, 37252902989549408354, 23283064365583459000320, 14551915228373202202575938, 9094947017729464388086726852], "abvar_counts_str": "578 389572 244120034 152587560960 95367428686658 59604644839641412 37252902989549408354 23283064365583459000320 14551915228373202202575938 9094947017729464388086726852 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.0903344706017331], "center_dim": 2, "curve_count": 578, "curve_counts": [578, 389572, 244120034, 152587560960, 95367428686658, 59604644839641412, 37252902989549408354, 23283064365583459000320, 14551915228373202202575938, 9094947017729464388086726852], "curve_counts_str": "578 389572 244120034 152587560960 95367428686658 59604644839641412 37252902989549408354 23283064365583459000320 14551915228373202202575938 9094947017729464388086726852 ", "curves": ["y^2=x^3+a^531*x+a^532", "y^2=x^3+a^607*x+a^608", "y^2=x^3+a^151*x+a^152", "y^2=x^3+a^3*x", "y^2=x^3+a^123*x+a^124"], "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": ["2.0.4.1"], "geometric_splitting_field": "2.0.4.1", "geometric_splitting_polynomials": [[1, 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": 5, "label": "1.625.abw", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "newton_coelevation": 1, "newton_elevation": 0, "number_fields": ["2.0.4.1"], "p": 5, "p_rank": 1, "p_rank_deficit": 0, "poly": [1, -48, 625], "poly_str": "1 -48 625 ", "primitive_models": [], "principal_polarization_count": 5, "q": 625, "real_poly": [1, -48], "simple_distinct": ["1.625.abw"], "simple_factors": ["1.625.abwA"], "simple_multiplicities": [1], "size": 5, "slopes": ["0A", "1A"], "splitting_field": "2.0.4.1", "splitting_polynomials": [[1, 0, 1]], "twist_count": 4, "twists": [["1.625.bw", "1.390625.aboo", 2], ["1.625.ao", "1.152587890625.astrm", 4], ["1.625.o", "1.152587890625.astrm", 4]]}