Thank you very much for your explanation and the kind help.

With best regards,
Petra Tadic 

On Thursday, March 27, 2014 9:08:26 PM UTC+1, John Cremona wrote:
>
> On 27 March 2014 18:04,  <[email protected] <javascript:>> wrote: 
> > 
> > Thank you very much for your kind help. It is a honor to get the 
> question 
> > answered by you. Does the MAGMA command SIntegralPoints  miss  points 
> also? 
> > 
>
> You would have to ask the Magma people about that, but the 
> implementations are entirely independent.  When we (I and a couple of 
> Masters students) first implemented integral and S-integral points in 
> Sage (over Q only) in 2008, we did find points which Magma missed, but 
> since then both implementations have had improvements, to the extent 
> that Steve Donnelly (Magma) now uses a lot of tricks which are not 
> published.  It is taking me longer than I expected to review a 
> long-lived patch on the trac server which translates an implementation 
> by another student of mine of integral points over number fields (not 
> S-integral points yet) from its original Magma form to Sage;  there 
> are some good reasons for this, as some of the published formulas are 
> wrong! 
>
> Your enquiry gives me motivation to get back to that project which has 
> been lying neglected since term started in January! 
>
> John 
>
> > With best regards, 
> > Petra Tadic 
> > 
> > On Thursday, March 27, 2014 6:21:24 PM UTC+1, John Cremona wrote: 
> >> 
> >> If the rank is successfully computed then it will be cached so calling 
> >> E.rank() afterwards will just retriueve the value with no further 
> >> computing.  ALternatively, compute the rank first, then the S-integral 
> >> points computation will need not re-do it. 
> >> 
> >> I should tell you , though, that there are examples where some 
> >> S-integral points are missed and it is a rather long-delayed project 
> >> of mine to correct that;  I am first working on the (separate) 
> >> integral points code, and after that will look again at the S-integral 
> >> points.  So you should probably not rely on the outpus to prove any 
> >> theorems just yet. 
> >> 
> >> John 
> >> 
> >> On 27 March 2014 17:06,  <[email protected]> wrote: 
> >> > I am using the command s_integral points for a lot of elliptic curves 
> >> > for 
> >> > calculating S-integral points of elliptic curves over Q. I know that 
> the 
> >> > command s_integral_points in it's calculation calculates also the 
> rank 
> >> > of 
> >> > the elliptic curve in question but doesn't output the result. How can 
> I 
> >> > get 
> >> > the value of the rank without calculating it separatly again with 
> >> > another 
> >> > command for the rank. So I'd like to get the rank and the S-integral 
> >> > points 
> >> > all at once with the one s_integral_points command. Thank you for the 
> >> > help. 
> >> > 
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