#10725: isogeny_class should be able to return the isogenies
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Reporter: cremona | Owner: cremona
Type: enhancement | Status: new
Priority: major | Milestone: sage-4.6.2
Component: elliptic curves | Keywords: isogeny class
Author: John Cremona | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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The method isogeny_class() for elliptic curves over Q currently computes
isogenies of prime degree between the curves in the class but then
discards them.
This patch adds a parameter return_maps (boolean, default False) which is
True also returns a matrix of the isogenies of prime degree (only) between
the curves in the class.
When isogeny composition is implemented it will be possible to enhance
this further and return a complete matrix of isogenies between any two
curves in the class. But this is already useful, for example to map
generaotrs for one curve to the other curves in the class. This is why I
implemented it.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10725>
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