Obtained by taking a rational 2-isogenous quotient of curve #1203, submitted by Noam Elkies, which has rank at least 10 and torsion \(\mathbf Z/2\mathbf Z\times\mathbf Z/2\mathbf Z\). Quotienting by one of its rational 2-torsion points gives \(y^2=x^3+10590663569x^2+10141794149802983424x\). Its global minimal model has ainvs \([1,1,1,-1702849424631976406,815433058060520543741414099]\), torsion \(\mathbf Z/2\mathbf Z\), and the same conductor \(274041685980626458099814310\). The ten independent points on #1203 were mapped through the 2-isogeny, giving ten independent points on the quotient; the construction and invariants were verified in Magma.
Commentary
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