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Results tagged with nt.number-theory
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user 76827
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
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Ranks of elliptic curves depend only on the field?
Are you thinking of the case $K=\overline{\mathbb{Q}}$? If $K$ is a finite extension, then the rank is always finite. And I think that for $K=\overline{\mathbb{Q}}$ it is always infinite. Maybe I'm mi …
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