An elliptic curve bug report from a student of Koblitz...
---------- Forwarded message ----------
From: <[EMAIL PROTECTED]>
Date: Mon, Apr 7, 2008 at 12:39 PM
Subject: elliptic curve trace problem in SAGE
To: [EMAIL PROTECTED]
William,
While working on some things, I found a bug in SAGE:
sage:k.<a>=GF(3^5)
sage:E=EllipticCurve(k,[-1,-1])
sage:E.trace_of_frobenius()
0
This isn't correct. It should be -27. I also discovered you can get
around it.
sage:E.cardinality_exhaustive()
271
sage:E.trace_of_frobenius()
-27
Somehow, doing .cardinality_exhaustive() fixes the bug.
Dustin Moody
--
William Stein
Associate Professor of Mathematics
University of Washington
http://wstein.org
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