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
>>
>> > --
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>>
>> --
>> William Stein
>> Professor of Mathematics
>> University of Washingtonhttp://wstein.org
>
> --
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-- 
William Stein
Professor of Mathematics
University of Washington
http://wstein.org

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