#5976: [with patch; needs work] Add an Elliptic Curve Isogeny object
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Reporter: shumow | Owner: shumow
Type: enhancement | Status: assigned
Priority: major | Milestone: sage-4.0
Component: number theory | Keywords: Elliptic Curves
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Comment(by cremona):
Answering the question: over Q I think I answered this in my book; if
deg(phi)=ell (prime) then Velu gives a modal integral away from ell and
either integral at ell or nearly so (such that scaling by ell makes it
integral). Over general number fields I guess it would depend on the
ramification degree. There is also a nice related result by Samir Siksek
(On standardised models of isogenous elliptic curves, Math Comp 74 # 250
pp 949--951, 2004) but that is only over Q.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5976#comment:18>
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