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- W2951593766 abstract "Let $K$ be a field of characteristic different from $2$ and let $E$ be an elliptic curve over $K$, defined either by an equation of the form $y^{2} = f(x)$ with degree $3$ or as the Jacobian of a curve defined by an equation of the form $y^{2} = f(x)$ with degree $4$. We obtain generators over $K$ of the $8$-division field $K(E[8])$ of $E$ given as formulas in terms of the roots of the polynomial $f$, and we explicitly describe the action of a particular automorphism in $mathrm{Gal}(K(E[8]) / K)$." @default.
- W2951593766 created "2019-06-27" @default.
- W2951593766 creator A5064612904 @default.
- W2951593766 date "2017-04-20" @default.
- W2951593766 modified "2023-09-27" @default.
- W2951593766 title "A note on 8-division fields of elliptic curves" @default.
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