Re: New experimental GP interface for elliptic curves over finite fields

[Bill Allombert <Bill.Allombert@math.u-bordeaux1.fr>]

On Thu, Jul 12, 2012 at 07:47:37PM +0200, Bill Allombert wrote:
> On Thu, Jun 07, 2012 at 12:16:11PM +0200, Bill Allombert wrote:
> > Dear PARI developers,
> > 
> > I have added a new experimental interface for elliptic curves over finite
> > fields.
> > A new function ellffinit is provided to create curves over finite fields:
> > 
> > Create a curves over F_7:
> > ? E=ellffinit([1,3],7);
> > 
> > Create a curves over F_101^3:
> > ? a=ffgen(ffinit(101,3),'a);
> > ? E=ellffinit([1,a^3],a);
> > 
> > (for technical reasons, the characteristic must be >3. This will be fixed eventually.)
> 
> I have just added support for ordinary curves over finite field of characteristic 2.

I have added support for supersingular curves over finite field of characteristic 2,
and corrected a lot of bugs.

Now only char 3 is missing. However there still a lot of test and performance improvement
to do.

Cheers,
Bill.