# Stored data for abelian variety isogeny class 2.163.abr_bea, downloaded from the LMFDB on 06 May 2024.
{"label": "2.163.abr_bea", "g": 2, "p": 163, "q": 163, "poly": [1, -43, 780, -7009, 26569], "poly_str": "1 -43 780 -7009 26569 ", "slopes": ["0A", "0B", "1A", "1B"], "p_rank": 2, "p_rank_deficit": 0, "angles": [0.0963982022717482, 0.239744545163479], "angle_rank": 2, "number_fields": ["4.0.19262232.1"], "galois_groups": ["4T3"], "center_dim": 4, "abvar_counts": [20298, 698291796, 18755743913784, 498335420686303776, 13239694889809631911398, 351763958818569339281564352, 9346014737384744374021949897334, 248314265488891582784136171878855808, 6597461723833054166967448120499057624088, 175287960541223469120983735452626244733879316], "abvar_counts_str": "20298 698291796 18755743913784 498335420686303776 13239694889809631911398 351763958818569339281564352 9346014737384744374021949897334 248314265488891582784136171878855808 6597461723833054166967448120499057624088 175287960541223469120983735452626244733879316 ", "abvar_count": 20298, "curve_counts": [121, 26281, 4330834, 705945769, 115064129131, 18755373353506, 3057125240204065, 498311414015429713, 81224760534483718438, 13239635967173948241721], "curve_counts_str": "121 26281 4330834 705945769 115064129131 18755373353506 3057125240204065 498311414015429713 81224760534483718438 13239635967173948241721 ", "curve_count": 121, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 4, "geometric_number_fields": ["4.0.19262232.1"], "geometric_galois_groups": ["4T3"], "primitive_models": [], "is_primitive": true, "twists": [["2.163.br_bea", "2.26569.ald_diye", 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": ["2.163.abr_bea"], "simple_multiplicities": [1], "simple_factors": ["2.163.abr_beaA"], "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, -43, 454], "jacobian_count": 24, "curves": ["y^2=120*x^6+142*x^5+94*x^4+76*x^3+105*x^2+113*x+114", "y^2=5*x^6+117*x^5+152*x^4+159*x^3+80*x^2+96*x+98", "y^2=79*x^6+41*x^5+58*x^4+21*x^3+74*x^2+131*x+24", "y^2=119*x^6+3*x^5+11*x^4+159*x^3+138*x^2+48", "y^2=102*x^6+54*x^5+133*x^4+150*x^3+141*x^2+13*x+13", "y^2=123*x^6+123*x^5+74*x^4+50*x^3+135*x^2+136*x+110", "y^2=134*x^6+12*x^5+130*x^4+138*x^3+59*x^2+9*x+8", "y^2=7*x^6+94*x^5+28*x^4+47*x^3+56*x^2+60*x+110", "y^2=58*x^6+32*x^5+19*x^4+25*x^3+12*x^2+95*x+139", "y^2=98*x^6+52*x^5+9*x^4+140*x^3+86*x^2+53*x+83", "y^2=68*x^6+115*x^5+117*x^4+112*x^3+67*x^2+32*x+90", "y^2=158*x^6+33*x^5+95*x^4+30*x^3+96*x^2+80*x+159", "y^2=28*x^6+153*x^5+48*x^4+151*x^3+52*x^2+119*x+93", "y^2=117*x^6+82*x^5+162*x^4+7*x^3+142*x^2+157*x+93", "y^2=108*x^6+52*x^5+112*x^4+139*x^3+120*x^2+87*x+102", "y^2=153*x^6+150*x^5+154*x^4+151*x^3+12*x^2+15*x+55", "y^2=123*x^5+76*x^4+11*x^3+32*x^2+46*x+68", "y^2=71*x^6+48*x^5+117*x^4+146*x^3+71*x^2+20*x+65", "y^2=3*x^6+37*x^5+105*x^4+155*x^3+117*x^2+96*x+56", "y^2=120*x^6+50*x^5+157*x^4+52*x^3+62*x^2+15*x", "y^2=48*x^6+89*x^5+64*x^4+107*x^3+145*x^2+59*x+5", "y^2=84*x^6+101*x^5+43*x^4+111*x^3+3*x^2+55*x+112", "y^2=100*x^6+150*x^5+36*x^4+124*x^3+2*x^2+47*x+3", "y^2=63*x^6+123*x^5+118*x^4+135*x^3+114*x^2+2*x+142"], "hyp_count": 24, "geometric_splitting_field": "4.0.19262232.1", "splitting_field": "4.0.19262232.1", "geometric_splitting_polynomials": [[1258, 134, 87, -1, 1]], "splitting_polynomials": [[1258, 134, 87, -1, 1]], "is_squarefree": true, "is_geometrically_squarefree": true}