#7368: Further work on isogenies and endomorphisms of elliptic curves
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Reporter: wuthrich | Owner: cremona
Type: enhancement | Status: new
Priority: major | Milestone: sage-wishlist
Component: elliptic curves | Keywords: elliptic curves, isogeny,
isogenies, endomorphism ring
Work_issues: | Author:
Reviewer: | Merged:
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Working on ticket #7096, I realised that there are many functionalities
concerning morphisms of elliptic curves that are not implemented or
implemented badly.
See also #6887, and #7262.
Here is a wish-list
* General isogenies, not only cyclic ones should be implemented.
Possibly this could be done in a clever way, by having it
internally factored into cyclic isogenies.
* Non seperable isogenies, i.e. Frobenii should be there too. See
also #6413.
* One should be able to compose them
* Is there a way of constructing a (not necessarily normalized)
isogeny knowing the degree and the domain and codomain ?
* There should be an addition for isogenies with the same domain
and codomain.
* There should be an endomorphism_ring for ellliptic curves whose
elements are isogenies.
* Similar automorphisms should give a group of isogenies.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7368>
Sage <http://www.sagemath.org>
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