id,summary,reporter,owner,description,type,status,priority,milestone,component,resolution,keywords,cc,merged,author,reviewer,upstream,work_issues,branch,commit,dependencies,stopgaps
7368,Further work on isogenies and endomorphisms of elliptic curves,wuthrich,cremona,"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 -> see #16245
* 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.
",enhancement,new,major,sage-wishlist,elliptic curves,,"elliptic curves, isogeny, isogenies, endomorphism ring",weigandt pbruin sbesnier,,,,N/A,,,,,