#9977: Implement complex multiplication for points of CM elliptic curves
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Reporter: davidloeffler | Owner: cremona
Type: defect | Status: new
Priority: major | Milestone: sage-5.0
Component: elliptic curves | Keywords: CM
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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It would be great if we could do
{{{
sage: E = EllipticCurve([0,0,0,3,0]) # curve with CM by Q[I]
sage: (1 + I) * P([1,2])
}}}
This wouldn't be very hard for CM elliptic curves over QQ, since the
necessary functionality is there in PARI's {{{ellpow}}}; see #6327. CM
elliptic curves over number fields might be a bit harder.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9977>
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