Jonathan Bober
unread,Apr 29, 2012, 6:31:22 AM4/29/12Sign in to reply to author
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I think that this was the only curve that we were missing: [ 0, phi +
1, 0, -6*phi + 7, -7*phi + 3 ].
Lassina found it using "a search routine that has been implemented in
Magma by Steve Donnelly based on an idea of Elkies" (I don't know what
that means) after I was told him that this was the only curve we were
missing and that I hadn't got his method to work on it.
In fact, I can find this curve immediately using the sieving code that
we have (those coefficients are pretty small), so in retrospect we
should have found this curve rather easily. I don't know why we
didn't.