Fwd:

[William Stein]

This is another email relevant to the Q(sqrt(5)) project...

---------- Forwarded message ----------
From: ARMAND BRUMER <bru...@fordham.edu>
Date: Sat, Aug 13, 2011 at 12:37 PM
Subject:
To: wst...@gmail.com
Cc: ARMAND BRUMER <bru...@fordham.edu>

Dear William,

     In connection with your email to the Number Theory Group. I
assume that you aware that the curves E that are NOT isogenous
to their conjugates provide examples for a recent result of
Johnson-Leung and Brooks Roberts (cf. ArXiv) which lead to instances
of my "paramodular conjecture": namely for such E, the Weil
restrictions A=R(E) have End A=Z and conductor 25*norm(cond(E)) by
Milne.
This agrees with Johnson-Roberts...

If you wish more details, let me know.

Best regards,

armand

Hello Number Theorists,

This summer I organized an REU that made a comprehensive table of
elliptic curves over Q(sqrt(5)) similar to Cremona's highly
influential tables over Q, which may be of interest to the number
theory community:

         http://wstein.org/home/wstein/reu/2011/final/

We intend to write a paper outlining our techniques for ANTS 10
(http://math.ucsd.edu/~kedlaya/ants10/).

 -- William

--
William Stein
Professor of Mathematics
University of Washington
http://wstein.org