On Jun 5, 3:47 am, Alasdair <[email protected]> wrote:
> Just applied the patch (thanks to some help!) and it works fine.

Good!  I wrote that patch 4 weeks ago and it had a positive review 2
weeks ago, but unfortunately did not get into the new release
(4.4.3).  Please let me know how you get on with it.

John Cremona

>
> cheers,
> Alasdair
>
> On Jun 5, 8:21 am, William Stein <[email protected]> wrote:
>
>
>
> > On Fri, Jun 4, 2010 at 3:17 PM, Alasdair <[email protected]> wrote:
> > > Thanks!  At the moment, if I enter:
>
> > > sage: N = 171576151
> > > sage: E = EllipticCurve(Integers(N),[3,-13])
> > > sage: P = E(2,1)
>
> > > I obtain a NotImplementedError.  So I should apply this patch, or
> > > write my own routines?  (I can implement arithmetic on such curves
> > > using projective coordinates.)
>
> > You should apply the patch.
>
> > > -Alasdair
>
> > > On Jun 5, 8:02 am, William Stein <[email protected]> wrote:
> > >> On Fri, Jun 4, 2010 at 2:49 PM, Alasdair <[email protected]> wrote:
> > >> > I was recently exploring the RSA elliptic curve cryptosystem of Koyama
> > >> > et al, which uses elliptic curves defined over the ring Z_n, with
> > >> > n=p*q (p, q both primes).  Does Sage or any of its component systems
> > >> > support arithmetic on such curves?
>
> > >> Seehttp://trac.sagemath.org/sage_trac/ticket/1975
>
> > >> > Thanks,
> > >> > Alasdair
>
> > >> > --
> > >> > To post to this group, send email to [email protected]
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>
> > >> --
> > >> William Stein
> > >> Professor of Mathematics
> > >> University of Washingtonhttp://wstein.org
>
> > > --
> > > To post to this group, send email to [email protected]
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>
> > --
> > William Stein
> > Professor of Mathematics
> > University of Washingtonhttp://wstein.org

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