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- W2775202292 abstract "Let $E$ be an elliptic curve over the rationals. We will consider the infinite extension $mathbb{Q}(E_{text{tor}})$ of the rationals where we adjoin all coordinates of torsion points of $E$. In this paper we will prove an explicit lower bound for the height of non-zero elements in $mathbb{Q}(E_{text{tor}})$ that are not a root of unity, only depending on the conductor of the elliptic curve. As a side result we will give an explicit bound for a small supersingular prime for an elliptic curve." @default.
- W2775202292 created "2017-12-22" @default.
- W2775202292 creator A5036846170 @default.
- W2775202292 date "2017-12-12" @default.
- W2775202292 modified "2023-09-27" @default.
- W2775202292 title "Explicit Small Heights in Infinite Non-Abelian Extensions" @default.
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