On Nov 19, 2007 9:49 AM, John Cremona <[EMAIL PROTECTED]> wrote:
>
> My suggestion for such a project is:  compute all the S-integral
> points on an elliptic curve (which is a finite set, for any given
> finie set of primes S).  First, over Q (assume that you are given a
> Mordell-Weil basis), which is also implemented in Magma.  Then, over
> number fields -- not implemented anywhere which is available.
>
> Sources: a psper of Stephens and Smart, and the Saarbruecken thesisof
> E Herrmann (in German).  He is the one responsible for the Magma
> implementation over Q, and he also has his own implementation over
> number fields written in Simath.

John, Is there any chance you could give a 2-3 paragraph summary of
what is involved, at the level of our dinner conversation recently?  It
sounds extremely interesting and exciting the way you described the
project in Bristol.

William

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