#11095: Add BMSS algorithm for isogenies of elliptic curves
------------------------------------------+---------------------------------
Reporter: defeo | Owner: cremona
Type: enhancement | Status: needs_work
Priority: minor | Milestone: sage-4.7.1
Component: elliptic curves | Keywords: isogenies
Work_issues: | Upstream: N/A
Reviewer: John Cremona, Marco Streng | Author: Luca De Feo
Merged: | Dependencies:
------------------------------------------+---------------------------------
Comment(by cremona):
Replying to [comment:15 mstreng]:
> Replying to [comment:14 cremona]:
> > Over a finite field theer are always *lots* of isogeny degrees between
any two isogenous curves.
>
> The word "normalized" is important here. That should limit the
possibilities.
Not if you do not mind replacing the codomain with an isomorphic curve,
since composing with a scaling map ([u,r,s,t]=[u,0,0,0]) multiplies the
constant by u (or maybe {{{u^-1}}}) so u can always be chosen to make the
isogeny normalised!
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11095#comment:16>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To post to this group, send email to [email protected].
To unsubscribe from this group, send email to
[email protected].
For more options, visit this group at
http://groups.google.com/group/sage-trac?hl=en.
