# Stored data for abelian variety isogeny class 1.257.ac, downloaded from the LMFDB on 09 June 2024.
{"abvar_count": 256, "abvar_counts": [256, 66560, 16976128, 4362342400, 1121154242816, 288136839111680, 74051159761826048, 19031147991941529600, 4891005035822975570176, 1256988294227472601932800], "abvar_counts_str": "256 66560 16976128 4362342400 1121154242816 288136839111680 74051159761826048 19031147991941529600 4891005035822975570176 1256988294227472601932800 ", "angle_rank": 1, "angles": [0.480131475694459], "center_dim": 2, "curve_count": 256, "curve_counts": [256, 66560, 16976128, 4362342400, 1121154242816, 288136839111680, 74051159761826048, 19031147991941529600, 4891005035822975570176, 1256988294227472601932800], "curve_counts_str": "256 66560 16976128 4362342400 1121154242816 288136839111680 74051159761826048 19031147991941529600 4891005035822975570176 1256988294227472601932800 ", "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": 16, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "jacobian_count": 16, "label": "1.257.ac", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "number_fields": ["2.0.4.1"], "p": 257, "p_rank": 1, "p_rank_deficit": 0, "poly": [1, -2, 257], "poly_str": "1 -2 257 ", "primitive_models": [], "q": 257, "real_poly": [1, -2], "simple_distinct": ["1.257.ac"], "simple_factors": ["1.257.acA"], "simple_multiplicities": [1], "slopes": ["0A", "1A"], "splitting_field": "2.0.4.1", "splitting_polynomials": [[1, 0, 1]], "twist_count": 4, "twists": [["1.257.c", "1.66049.tq", 2], ["1.257.abg", "1.4362470401.ahhje", 4], ["1.257.bg", "1.4362470401.ahhje", 4]]}