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Results tagged with arithmetic-geometry
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user 164119
Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.
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Criterion for existence of integral points on an elliptic curve
The simplest answer is the following: for any integer $a\neq 12$ take $D=a^3-1728$. Then, the point $P=(a,1)$ is a point with integer coordinates on your curve. Moreover, the point $P$ is of infinite …
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