# Stored data for abelian variety isogeny class 1.269.abb, downloaded from the LMFDB on 05 May 2024.
{"label": "1.269.abb", "g": 1, "p": 269, "q": 269, "poly": [1, -27, 269], "poly_str": "1 -27 269 ", "slopes": ["0A", "1A"], "p_rank": 1, "p_rank_deficit": 0, "angles": [0.192237267886347], "angle_rank": 1, "number_fields": ["2.0.347.1"], "galois_groups": ["2T1"], "center_dim": 2, "abvar_counts": [243, 72171, 19467216, 5236222563, 1408517108343, 378890502876864, 101921536292328387, 27416893181337405603, 7375144266000727338384, 1983913807582031127506451], "abvar_counts_str": "243 72171 19467216 5236222563 1408517108343 378890502876864 101921536292328387 27416893181337405603 7375144266000727338384 1983913807582031127506451 ", "abvar_count": 243, "curve_counts": [243, 72171, 19467216, 5236222563, 1408517108343, 378890502876864, 101921536292328387, 27416893181337405603, 7375144266000727338384, 1983913807582031127506451], "curve_counts_str": "243 72171 19467216 5236222563 1408517108343 378890502876864 101921536292328387 27416893181337405603 7375144266000727338384 1983913807582031127506451 ", "curve_count": 243, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.347.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["1.269.bb", "1.72361.ahj", 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": ["1.269.abb"], "simple_multiplicities": [1], "simple_factors": ["1.269.abbA"], "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, -27], "jacobian_count": 5, "hyp_count": 5, "geometric_splitting_field": "2.0.347.1", "splitting_field": "2.0.347.1", "geometric_splitting_polynomials": [[87, -1, 1]], "splitting_polynomials": [[87, -1, 1]], "is_squarefree": true, "is_geometrically_squarefree": true}