Maybe you can summarize the state of what is broken right now? Is the 
problem only the implementation of 2-descent on number fields? Rationals 
works fine? 

I was actually reading your papers on descent this week and it seems like 
2-descent shouldn't be that hard. Maybe I'm missing some caveat with number 
fields? 



On Saturday, August 3, 2013 10:54:04 AM UTC-4, John Cremona wrote:
>
> There are at least 5 open tickets on trac concerning this gp script. 
> I personally think that the function E.gens() (for elliptic curves 
> over number fields) should be deprecated until some of these things 
> are fixed.  I'm sure that in many cases people run that functions 
> without reading the docstring carefully and assume that (when it works 
> without crashing) the output is proved to be a full set of generators, 
> of size equal to the proved rank and this is *not the case*. 
>

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