The same curve is strange over QQ[sqrt(5)]:
sage:
Z1.Z=ZZ[];Nf.v=NumberField(Z**2-5);E=EllipticCurve(Nf,[-256,0]);ge=E.gens();[i.order()
for i in ge]
[+Infinity, +Infinity]
sage: ge
[(1600*v + 3200 : -128000*v - 256000 : 1),
(-1600*v + 3200 : -128000*v + 256000 : 1)]
sage:
Neither of these is strange, this is perfectly normal behaviour and
output for a 2-descent. It gives lower and upper bounds for the rank,
and these may not be equal. Specifically, they will differ by (at
least) the 2-rank of the Tate-Shafarevich group (Sha) of the curve.
2-descent by itself is
Thanks Jason,
I think we'll use aleph.
Nevertheless I would like to try your virtual image, where can one find it?
Regards,
JC
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On 8/5/13 10:09 AM, Jotace wrote:
Thanks Jason,
I think we'll use aleph.
Nevertheless I would like to try your virtual image, where can one find it?
It's not published yet (and it's being continually updated---I just
updated it a few minutes ago, for example).
I'll post the KVM disk
On 8/5/13 10:38 AM, Jason Grout wrote:
I'll post the KVM disk images sometime today.
I put them up at
http://boxen.math.washington.edu/home/jason/sagecell-kvm-images/
You'll need to be running KVM. The sagecell.img file uses the
centos.img as a base image.
I generated these images using
How do I get my worksheet to color inputs ala the tutorials? OS10.5.8
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