Articles with "large shafarevich" as a keyword



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Large Shafarevich–Tate groups over quadratic number fields

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Published in 2019 at "Journal of Number Theory"

DOI: 10.1016/j.jnt.2018.12.012

Abstract: Let $E$ be an elliptic curve over the rational field $\mathbf{Q}$. Let $K$ be a quadratic extension over $\mathbf{Q}$. Let $\mathrm{ST}(E/K)$ dente the Shafarevich-Tate group of $E$ over $K$. We show that (under mild conditions… read more here.

Keywords: tate; number; groups quadratic; large shafarevich ... See more keywords