From: u943254@daimi.au.dk (Jesper Petersen) Subject: Rank 6 and higher elliptic curves Date: 14 Apr 00 12:15:58 GMT Newsgroups: sci.math.numberthy Summary: [missing] Dear number theorists, Today, within the 1-parameter familiy of elliptic curves Y^2=X^3+K, K>0, I discovered the curve Y^2=X^3+3030569 of rank 6. This is so far the "smallest" (in terms of K) rank 6 curve I have found. Now, I would like to know: 1) Can anyone supply a rank 6 curve with smaller K? 2) Can anyone supply higher rank curves with relatively small K? Thanks in advance, Jesper Petersen, Aarhus, Denmark