Obtained from curve #1202, submitted by Noam Elkies, which has rank at least 11 and torsion \(\mathbf Z/2\mathbf Z\times\mathbf Z/2\mathbf Z\). Quotienting by the rational 2-torsion point \((-803153556053,0)\) gives the 2-isogenous curve \(y^2=x^3+4818921336316x^2+1311454974983248973284x\). Its global minimal model has ainvs \([0,1,0,-7739356160225544477844001,8287153029037256910365409890880643455]\), torsion \(\mathbf Z/2\mathbf Z\), and conductor \(23354778245864734004307533064634560\). The eleven independent points on #1202 were mapped through the 2-isogeny, giving eleven independent points on the quotient. The isogeny, minimal model, conductor, torsion and image points were verified in Magma.
jesper-petersen ·