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Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.

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Isogeny of Drinfeld module

Let $\phi$ be a Drinfeld module over a function field $K$. It is known that if the rank of $\phi$ is 1, then it is isomorphic over $K$ to one defined over $O_K$. Is it true that if the rank of $\phi$ …