# Stored data for abelian variety isogeny class 2.25.an_df, downloaded from the LMFDB on 11 May 2024.
{"label": "2.25.an_df", "g": 2, "p": 5, "q": 25, "poly": [1, -13, 83, -325, 625], "poly_str": "1 -13 83 -325 625 ", "slopes": ["0A", "0B", "1A", "1B"], "p_rank": 2, "p_rank_deficit": 0, "angles": [0.0967753949369979, 0.387586574436574], "angle_rank": 2, "number_fields": ["4.0.1080141.1"], "galois_groups": ["4T3"], "center_dim": 4, "abvar_counts": [371, 388437, 245154203, 152342272341, 95304484355696, 59602581903675069, 37253999324421141899, 23283268113843463658373, 14551929470680753036864139, 9094947148032695703498700032], "abvar_counts_str": "371 388437 245154203 152342272341 95304484355696 59602581903675069 37253999324421141899 23283268113843463658373 14551929470680753036864139 9094947148032695703498700032 ", "abvar_count": 371, "curve_counts": [13, 623, 15691, 389995, 9759178, 244132175, 6103695247, 152589225907, 3814700999161, 95367433006958], "curve_counts_str": "13 623 15691 389995 9759178 244132175 6103695247 152589225907 3814700999161 95367433006958 ", "curve_count": 13, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 4, "geometric_number_fields": ["4.0.1080141.1"], "geometric_galois_groups": ["4T3"], "primitive_models": [], "is_primitive": true, "twists": [["2.25.n_df", "2.625.ad_alz", 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": ["2.25.an_df"], "simple_multiplicities": [1], "simple_factors": ["2.25.an_dfA"], "dim1_factors": 0, "dim2_factors": 1, "dim3_factors": 0, "dim4_factors": 0, "dim5_factors": 0, "dim1_distinct": 0, "dim2_distinct": 1, "dim3_distinct": 0, "dim4_distinct": 0, "dim5_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_factors": 1, "geom_dim3_factors": 0, "geom_dim4_factors": 0, "geom_dim5_factors": 0, "geom_dim1_distinct": 0, "geom_dim2_distinct": 1, "geom_dim3_distinct": 0, "geom_dim4_distinct": 0, "geom_dim5_distinct": 0, "has_geom_ss_factor": false, "real_poly": [1, -13, 33], "jacobian_count": 6, "curves": ["y^2=(a+2)*x^6+a*x^5+(3*a+4)*x^4+x^3+(2*a+1)*x^2+(3*a+2)*x+a+2", "y^2=(4*a+3)*x^6+x^5+2*x^4+(3*a+1)*x^3+3*x^2+(4*a+2)*x+4*a+3", "y^2=(4*a+3)*x^6+(a+1)*x^5+4*x^4+2*a*x^3+x+a+4", "y^2=3*x^6+(a+2)*x^5+(3*a+1)*x^4+(3*a+1)*x^3+4*x^2+(2*a+1)*x+4*a", "y^2=(3*a+4)*x^6+(2*a+1)*x^5+(3*a+3)*x^3+(4*a+4)*x^2+2*a*x+3*a+2", "y^2=(a+4)*x^6+(3*a+3)*x^5+4*x^4+(4*a+1)*x^3+a*x^2+(4*a+4)*x+2*a+3"], "hyp_count": 6, "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_index": 1, "zfv_index_factorization": [], "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 789, "geometric_splitting_field": "4.0.1080141.1", "splitting_field": "4.0.1080141.1", "geometric_splitting_polynomials": [[127, -70, 20, -1, 1]], "splitting_polynomials": [[127, -70, 20, -1, 1]], "is_squarefree": true, "is_geometrically_squarefree": true, "size": 6, "principal_polarization_count": 6, "pic_prime_gens": [[1, 3, 1, 2], [1, 7, 1, 6]]}