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Results tagged with elliptic-curves
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user 103119
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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Is the rank of this elliptic curve positive?
For every rational number $h$, does there exist a rational $t$ such that the rank of the elliptic curve $$Y^2=X^3 -3h^2t^8X -(h^4t^{16}+h^2t^8),$$ is positive?
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Rank of certain elliptic curves
I need to calculate rank of the some
elliptic curves,(espicially getting generators or finding a rational point
on the elliptic curves) but I cannot do this by my computer.
I am interested in c …