Obtained from curve #1093, due to Dujella–Lecacheux, via two successive rational 2-isogenies. The first quotient has torsion \(\mathbf Z/2\mathbf Z\times\mathbf Z/4\mathbf Z\); quotienting by the appropriate rational 2-torsion subgroup gives a curve with torsion \(\mathbf Z/4\mathbf Z\). Its global minimal model has ainvs \([1,0,0,-305209353709156400979315990,2052319031551796164066894280222290328100]\) and conductor \(3985472961137327010\). Mapping the five independent points from #1093 through the two isogenies gives five independent points on this curve. The construction and invariants were verified in Magma.
jesper-petersen ·