# Stored data for abelian variety isogeny class 1.512.bt, downloaded from the LMFDB on 05 May 2024.
{"label": "1.512.bt", "g": 1, "p": 2, "q": 512, "poly": [1, 45, 512], "poly_str": "1 45 512 ", "slopes": ["0A", "1A"], "p_rank": 1, "p_rank_deficit": 0, "angles": [0.966203998103083], "angle_rank": 1, "number_fields": ["2.0.23.1"], "galois_groups": ["2T1"], "center_dim": 2, "abvar_counts": [558, 261144, 134239734, 68718999024, 35184382319358, 18014398293697416, 9223372041327052614, 4722366482778874456800, 2417851639231053227748558, 1237940039285345980001526264], "abvar_counts_str": "558 261144 134239734 68718999024 35184382319358 18014398293697416 9223372041327052614 4722366482778874456800 2417851639231053227748558 1237940039285345980001526264 ", "abvar_count": 558, "curve_counts": [558, 261144, 134239734, 68718999024, 35184382319358, 18014398293697416, 9223372041327052614, 4722366482778874456800, 2417851639231053227748558, 1237940039285345980001526264], "curve_counts_str": "558 261144 134239734 68718999024 35184382319358 18014398293697416 9223372041327052614 4722366482778874456800 2417851639231053227748558 1237940039285345980001526264 ", "curve_count": 558, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.23.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["1.512.abt", "1.262144.abmn", 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": ["1.512.bt"], "simple_multiplicities": [1], "simple_factors": ["1.512.btA"], "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, 45], "geometric_splitting_field": "2.0.23.1", "splitting_field": "2.0.23.1", "geometric_splitting_polynomials": [[6, -1, 1]], "splitting_polynomials": [[6, -1, 1]], "is_squarefree": true, "is_geometrically_squarefree": true}