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2013-12-09 21:14:52 +0200	asked a question	Elliptic Curve on FF points are expressed as 3 numbers? Why are elliptic curve points defined as 3 numbers? As in the following sage snippet: `sage: e = EllipticCurve(GF(13),[0,1]) sage: e.points() [(0 : 1 : 0), (0 : 1 : 1), (0 : 12 : 1), (2 : 3 : 1), (2 : 10 : 1), (4 : 0 : 1), (5 : 3 : 1), (5 : 10 : 1), (6 : 3 : 1), (6 : 10 : 1), (10 : 0 : 1), (12 : 0 : 1)]` I looked at the official sage documentation here and can't seem to find an answer. What does each number in the point represent? X,Y and something else I assume. I don't have a strong background in abstract algebra/number theory so forgive me if this is something obvious.
2013-12-06 00:23:35 +0200	asked a question	Working with very large integers I would like to perform a fermat factorization on a number that is 600+ digits. Currently when I try to use that in sage I get "Python int too large to convert to C long." Is there an additional library or a specific sage function that I have to use in order to make this work? Thanks