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An elliptic curve is an algebraic curve of genus one with some additional properties. Questions with this tag will often have the top-level tags nt.number-theory or ag.algebraic-geometry. Note also the tag arithmetic-geometry as well as some related tags such as rational-points, abelian-varieties, heights. Please do not use this tag for questions related to ellipses; instead use conic-sections.

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Second stage of elliptic curve factorization via random walk/Pollard's rho in constant (or l...

As far as I know, it is still an open problem to get a space efficient second stage for ECM, and probably not possible. The same applies to the Pollard p-1 method (which can also be done with a secon …
Steven Galbraith's user avatar