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I'm looking around for scripts to facilitate 12 descent on Mordell curves, preferably in Pari/gp. I understand that Magma implements this feature, but unfortunately this software isn't available to ...

In my ongoing search for Mordell curves of rank 8 and above I have currently identified 144,499 curves of a type where $k$ is squarefree and $k^2 = 1$ mod $24$. In each case the x coordinates are ...