# Stored data for abelian variety isogeny class 2.256.ace_bxj, downloaded from the LMFDB on 27 October 2025.
{"abvar_count": 52428, "abvar_counts": [52428, 4257782736, 281423305653012, 18446822057152570176, 1208926333068277082769948, 79228161403854251035354712784, 5192296832745787864443969412491492, 340282366746136495057496171539430049024, 22300745197781475511556921932221564002717292, 1461501637328970777225531109582020890791229917776], "abvar_counts_str": "52428 4257782736 281423305653012 18446822057152570176 1208926333068277082769948 79228161403854251035354712784 5192296832745787864443969412491492 340282366746136495057496171539430049024 22300745197781475511556921932221564002717292 1461501637328970777225531109582020890791229917776 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.0500302343670541, 0.224057052788009], "center_dim": 4, "curve_count": 201, "curve_counts": [201, 64967, 16774137, 4294985455, 1099512094761, 281474972765687, 72057593680033113, 18446744064233517919, 4722366482711007032457, 1208925819613030945148327], "curve_counts_str": "201 64967 16774137 4294985455 1099512094761 281474972765687 72057593680033113 18446744064233517919 4722366482711007032457 1208925819613030945148327 ", "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 1, "dim2_factors": 1, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 2, "galois_groups": ["4T3"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 1, "geom_dim2_factors": 1, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["4T3"], "geometric_number_fields": ["4.0.1818609.2"], "geometric_splitting_field": "4.0.1818609.2", "geometric_splitting_polynomials": [[768, -144, 77, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "label": "2.256.ace_bxj", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.1818609.2"], "p": 2, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -56, 1283, -14336, 65536], "poly_str": "1 -56 1283 -14336 65536 ", "primitive_models": [], "q": 256, "real_poly": [1, -56, 771], "simple_distinct": ["2.256.ace_bxj"], "simple_factors": ["2.256.ace_bxjA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.1818609.2", "splitting_polynomials": [[768, -144, 77, -1, 1]], "twist_count": 2, "twists": [["2.256.ce_bxj", "2.65536.avy_jtth", 2]]}