Hello sage-support,

I wonder if there is a way to make Sage compute with points on elliptic
curves over rings which are not fields.  I would like to use it for a
very simple implementation of the ECM factoring algorithm for
educational purposes.  The obvious doesn't work:

----------------------------------------------------------------------
| Sage Version 4.4, Release Date: 2010-04-24                         |
| Type notebook() for the GUI, and license() for information.        |
----------------------------------------------------------------------
sage: R = Zmod(59*101)
sage: E = EllipticCurve(R, [4,1])
sage: P = E([0,1])
---------------------------------------------------------------------------
NotImplementedError
[...]


Thanks,
Jeroen Demeyer.

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