# Stored data for abelian variety isogeny class 2.169.abu_bhb, downloaded from the LMFDB on 02 May 2024.
{"label": "2.169.abu_bhb", "g": 2, "p": 13, "q": 169, "poly": [1, -46, 859, -7774, 28561], "poly_str": "1 -46 859 -7774 28561 ", "slopes": ["0A", "0B", "1A", "1B"], "p_rank": 2, "p_rank_deficit": 0, "angles": [0.0365882703553018, 0.217331560747881], "angle_rank": 2, "number_fields": ["4.0.153152.1"], "galois_groups": ["4T3"], "center_dim": 4, "abvar_counts": [21601, 804442841, 23287872895552, 665417575590166313, 19004976451350481472641, 542800726774432277306860544, 15502932426967155683511828369553, 442779262378995878954702371336751177, 12646218549149401998470216937242184405568, 361188648077906113720823565306520339750893081], "abvar_counts_str": "21601 804442841 23287872895552 665417575590166313 19004976451350481472641 542800726774432277306860544 15502932426967155683511828369553 442779262378995878954702371336751177 12646218549149401998470216937242184405568 361188648077906113720823565306520339750893081 ", "abvar_count": 21601, "curve_counts": [124, 28164, 4824694, 815731908, 137858583804, 23298083251086, 3937376290281628, 665416607082473604, 112455406920114147142, 19004963774532188818564], "curve_counts_str": "124 28164 4824694 815731908 137858583804 23298083251086 3937376290281628 665416607082473604 112455406920114147142 19004963774532188818564 ", "curve_count": 124, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 4, "geometric_number_fields": ["4.0.153152.1"], "geometric_galois_groups": ["4T3"], "primitive_models": [], "is_primitive": true, "twists": [["2.169.bu_bhb", "2.28561.api_eobb", 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": ["2.169.abu_bhb"], "simple_multiplicities": [1], "simple_factors": ["2.169.abu_bhbA"], "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, -46, 521], "jacobian_count": 9, "curves": ["y^2=11*a*x^6+(10*a+2)*x^5+(11*a+1)*x^4+(11*a+5)*x^3+(4*a+9)*x^2+(3*a+9)*x+9*a+4", "y^2=(3*a+9)*x^6+(a+2)*x^5+(4*a+12)*x^4+(11*a+10)*x^3+(5*a+4)*x^2+(a+10)*x+4*a+1", "y^2=(5*a+4)*x^6+(10*a+4)*x^5+(8*a+10)*x^4+(12*a+10)*x^3+(4*a+10)*x^2+(3*a+10)*x+10*a+9", "y^2=9*a*x^6+6*a*x^5+7*a*x^4+8*a*x^3+4*a*x+8*a", "y^2=11*a*x^6+(6*a+1)*x^5+(7*a+1)*x^4+(8*a+1)*x^3+(2*a+8)*x^2+11*a*x+12*a+5", "y^2=(8*a+2)*x^6+10*x^5+(5*a+9)*x^4+(a+7)*x^3+(3*a+12)*x^2+(5*a+8)*x+11*a+5", "y^2=(8*a+2)*x^6+2*x^5+(2*a+3)*x^4+(10*a+1)*x^3+(10*a+7)*x^2+10*x+4*a+7", "y^2=(9*a+9)*x^6+2*x^5+(3*a+1)*x^4+(3*a+5)*x^3+(a+9)*x^2+11*a+6", "y^2=(9*a+3)*x^6+3*x^5+(2*a+8)*x^4+(9*a+10)*x^3+(10*a+5)*x^2+(4*a+9)*x+12*a+3"], "hyp_count": 9, "geometric_splitting_field": "4.0.153152.1", "splitting_field": "4.0.153152.1", "geometric_splitting_polynomials": [[167, -22, 25, -2, 1]], "splitting_polynomials": [[167, -22, 25, -2, 1]], "is_squarefree": true, "is_geometrically_squarefree": true}