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Results tagged with elliptic-curves
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user 4344
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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When is a product of elliptic curves isogenous to the Jacobian of a hyperelliptic curve?
Here is one easy case of a curve of genus two whose Jacobian is isogenous to a product of two elliptic curves.
Let $p,q,r$ be homogeneous separable polynomials of degree two in two variables $s,t$ th …
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