# Stored data for abelian variety isogeny class 2.163.abs_bes, downloaded from the LMFDB on 31 October 2025.
{"abvar_count": 20152, "abvar_counts": [20152, 696936768, 18749460156856, 498312833339802624, 13239625329965910743032, 351763767555872267152814400, 9346014257026169818746359834488, 248314264369223700075655286061809664, 6597461721378240618923441780956970336824, 175287960536102315946672385571852437840043328], "abvar_counts_str": "20152 696936768 18749460156856 498312833339802624 13239625329965910743032 351763767555872267152814400 9346014257026169818746359834488 248314264369223700075655286061809664 6597461721378240618923441780956970336824 175287960536102315946672385571852437840043328 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.0236068181919774, 0.241413415058063], "center_dim": 4, "curve_count": 120, "curve_counts": [120, 26230, 4329384, 705913774, 115063524600, 18755363155750, 3057125083076520, 498311411768505694, 81224760504261240312, 13239635966787143560150], "curve_counts_str": "120 26230 4329384 705913774 115063524600 18755363155750 3057125083076520 498311411768505694 81224760504261240312 13239635966787143560150 ", "curves": ["y^2=89*x^6+117*x^5+116*x^4+110*x^3+60*x^2+151*x+131", "y^2=12*x^6+5*x^5+105*x^4+44*x^3+39*x^2+8*x+106", "y^2=2*x^6+101*x^5+145*x^4+135*x^3+52*x^2+39*x+26", "y^2=98*x^6+18*x^5+113*x^4+82*x^3+78*x+98", "y^2=59*x^6+56*x^5+93*x^4+162*x^3+14*x^2+x+52", "y^2=11*x^6+90*x^5+26*x^4+57*x^3+117*x^2+72*x+65", "y^2=130*x^6+5*x^5+51*x^4+151*x^3+120*x^2+116*x+127", "y^2=105*x^6+136*x^5+17*x^4+10*x^3+36*x^2+32*x+130", "y^2=38*x^6+43*x^5+46*x^4+156*x^3+15*x^2+55*x+136", "y^2=117*x^6+136*x^5+10*x^4+59*x^3+78*x^2+130*x+116", "y^2=21*x^6+31*x^5+110*x^4+155*x^3+26*x^2+133*x+81", "y^2=73*x^6+112*x^5+4*x^4+56*x^3+123*x^2+62*x+106", "y^2=70*x^6+116*x^5+141*x^4+39*x^3+51*x^2+143*x+68", "y^2=29*x^6+127*x^5+62*x^4+45*x^3+132*x^2+117*x+146", "y^2=116*x^6+54*x^5+47*x^4+150*x^3+106*x^2+155*x+5", "y^2=159*x^6+113*x^5+22*x^4+105*x^3+25*x^2+52*x+79", "y^2=129*x^6+138*x^5+84*x^4+157*x^3+41*x^2+108*x+130", "y^2=122*x^6+140*x^5+82*x^4+32*x^3+41*x^2+45*x+107", "y^2=96*x^6+6*x^5+19*x^4+103*x^3+117*x^2+112*x+81", "y^2=88*x^6+54*x^5+85*x^4+88*x^3+79*x^2+20*x+60", "y^2=14*x^6+129*x^5+29*x^4+97*x^3+70*x^2+140*x+82", "y^2=141*x^6+96*x^5+56*x^4+33*x^3+66*x^2+106*x+8", "y^2=29*x^6+155*x^5+67*x^4+155*x^3+70*x^2+156*x+31", "y^2=24*x^6+58*x^5+138*x^4+96*x^3+113*x^2+70*x+25", "y^2=34*x^6+85*x^5+92*x^4+108*x^3+138*x^2+137*x+15", "y^2=32*x^6+98*x^5+88*x^4+154*x^3+155*x^2+127*x+127", "y^2=113*x^6+26*x^5+52*x^4+79*x^3+102*x^2+64*x+147", "y^2=78*x^6+124*x^5+151*x^4+70*x^3+48*x^2+121*x+68"], "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": ["4.0.39744.5"], "geometric_splitting_field": "4.0.39744.5", "geometric_splitting_polynomials": [[22, 4, 12, -2, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 28, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 28, "label": "2.163.abs_bes", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.39744.5"], "p": 163, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -44, 798, -7172, 26569], "poly_str": "1 -44 798 -7172 26569 ", "primitive_models": [], "q": 163, "real_poly": [1, -44, 472], "simple_distinct": ["2.163.abs_bes"], "simple_factors": ["2.163.abs_besA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.39744.5", "splitting_polynomials": [[22, 4, 12, -2, 1]], "twist_count": 2, "twists": [["2.163.bs_bes", "2.26569.anc_dizu", 2]]}