Michael,
Thanks for your reply.
I did the exact same thing under magma, and it consumes 14 meg.
Have you found anything new?
Regards,

Iram

On Apr 29, 9:07 pm, mabshoff <[email protected]
dortmund.de> wrote:
> On Apr 29, 11:11 am, opti <[email protected]> wrote:
>
> > Hello,
>
> Hi,
>
>
>
> > I am using sage 3.4
> > I have written a simple sage script to evalute the cardinal of Brent-
> > Suyama elliptic curves s=11
> > for primes < 2^27.
>
> > Memory usage increases till program (or machine) crashes.
>
> > The script is the following:
>
> > p=30
>
> >  def FindGroupOrder(p,s):
> >    K = GF(p)
> >    v = K(4*s)
> >    u = K(s**2-5)
> >    x = u**3
> >    b = 4*x*v
> >    a = (v-u)**3*(3*u+v)
> >    A = a/b-2
> >    x = x/v**3
> >    b = x**3 + A*x**2 + x
> >    E = EllipticCurve(K,[0,b*A,0,b**2,0])
> >    return factor(E.cardinality())
>
> > while p<134217689:
> >         p=next_prime(p)
> >         g=FindGroupOrder(p,11)
> >         print g
>
> > Any idea why this happens?
>
> I would guess it is a leak :)
>
> Running it up to p=966233 consumed about 2 GB - I will have a closer
> look. IIR there are some open memory leaks in that area of the code,
> but I should know more in a couple hours.
>
> > Regards,
>
> Cheers,
>
> Michael
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