On 10/20/10 12:07 AM, Justin C. Walker wrote:

On Oct 17, 2010, at 17:50 , gagan wrote:

sage: E=EllipticCurve('11a1');
sage: E.modular_degree();
/Applications/sage/local/bin/sympow: line 3:  9922 Segmentation
fault      ./sympow $*

I can't reproduce this problem (Mac OS X, 10.6.4, Dual Quad Xeon) using 4.4, 
4.5.2, 4.5.3, or 4.6.a3.

Justin

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Justin C. Walker, Curmudgeon at Large
Director
Institute for the Enhancement of the Director's income

Same here - I can't reproduce it (OpenSolaris on Xeon processor).

Based on an inspection of the source code for SYMPOW, it is the worst I've seen in Sage. In fact, it's the worst code I have ever seen. So I personally would not be surprised if there are bugs in it.

That said, both John and William use the code for computing the modular degree of elliptic curves.

There is a trac ticket open for implementing the Watkins-Delaunay's algorithm for computing modular degrees in Sage

http://trac.sagemath.org/sage_trac/ticket/9758

If there is a bug in the code, good luck finding it, as the code is almost obfuscated.

Dave

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