I have written the code that computes the torsion of an elliptic over
a number field. See trac Ticket #3377.
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Fo
I actually started to implement this at some point, but I gave up
when I realised that there was no 'reduction' of the curve at places
of the number field. I will have look at this now, maybe I can do it
now.
Once one has bounded the possible torsion, it could be better to
compute a complex ap
On Tue, May 20, 2008 at 6:02 PM, Dan Shumow <[EMAIL PROTECTED]> wrote:
>
> Ok, what I really want to do is determine if there is a torsion point
> of order q (a prime) on an elliptic curve over a number field.
>
> Is there a better way to do this in sage besides looking for roots of
> the qth divi
Ok, what I really want to do is determine if there is a torsion point
of order q (a prime) on an elliptic curve over a number field.
Is there a better way to do this in sage besides looking for roots of
the qth division polynomial?
Thanks,
Dan
On May 19, 6:32 pm, "William Stein" <[EMAIL PROTEC
On Mon, May 19, 2008 at 6:29 PM, Dan Shumow <[EMAIL PROTECTED]> wrote:
>
> Presently, in sage, is there anyway to computer the torsion subgroup
> of a curve over an arbitrary number field?
>
> I'm pouring through the documentation, and I see how to do it for a
> curve over the rationals. Is this
