#6583: [with patch, not ready] Implement two descent over QQ natively in Sage
using ratpoints
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Reporter: rlm | Owner: davidloeffler
Type: defect | Status: new
Priority: major | Milestone: sage-4.1.1
Component: elliptic curves | Keywords:
Reviewer: | Author: Robert Miller
Merged: |
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Comment(by rlm):
Although the patch above isn't finished, I do consider it polished for
what it does. The next steps are:
1. plug into NTL for factoring over FF_p[X] for large p.
2. incorporate the optimization based on linear algebra in QQ*/(QQ*)^2.
3. do second descents in the case that the exact rank is not found.
4. General two-descent -- I have a rudimentary version of this in a
notebook worksheet, which will eventually wind up here.
Although not in a completely finished state, comments are still welcome!
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6583#comment:2>
Sage <http://sagemath.org/>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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