Thanks Georg, my memory is not what it used to be!  I just hate to see
this error recurring apparantly in something I wrote....

John

On 19 Feb, 11:29, "Georg S. Weber" <georgswe...@googlemail.com> wrote:
> > Can William or someone who gets this error (I don't!) test what
> > happens if you replace
>
> > G=E.change_ring(GF(p)).abelian_group()
>
> > by
>
> > N=E.change_ring(GF(p)).cardinality()
>
> > ?  The cardinality will be provided by pari, so if it is a pari
> > problem that should still cause a problem.  The abelian group code is
> > mine, so I would expect that is more likely to be the issue (!)  We
> > used to have a function abelian_group_prime_field() which only worked
> > over prime fields and used pari, which was deleted at some point, but
> > in fact that function just called a gp script of mine so was not
> > really inedpendent.
>
> > Secondly, add "debug=True" to the abelian_group() call and send me the
> > output.
>
> > John
>
> Hi John,
> I can reproduce this bug 100%, and some time ago you and I (the thread
> should be findable, I didn't search thoroughly) already went together
> through this topic with the following result (it's all written down in
> #4181):
> The bug is triggered by:
>
>     sage: for p in prime_range(31300, 32600):  EllipticCurve(GF(p),
> [0,1,1,10,13])
>
> The bug is *not* triggered by (although the prime range is more than
> an order of magnitude larger!):
>
>     sage: for p in prime_range(32768, 100000):  EllipticCurve(GF(p),
> [0,1,1,10,13])
>
> So it seems very unlikely that the root cause is anything in
> "arithmetic" parts of the code.
> It is something very strange and deeply buried in the system, somehow
> memory allocation / heap / whatever related. My thought back then was,
> that it must be something with 16-Bit signed integers on Mac OS X / 32
> Bit.
>
> I'll investigate further as soon as I have access to a system with a
> Sage install again.
>
> Cheers,
> gsw
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