Abstract
We determine all the extensions generated by 3-division points of elliptic curves over the fields of $p$-adic numbers. As application, we construct $\mathit{GL}_2(\mathbf{F}_3)$-extensions over the field of rational numbers with given finitely many local conditions.
Citation
Hirotada Naito. "Local fields generated by 3-division points of elliptic curves." Proc. Japan Acad. Ser. A Math. Sci. 78 (9) 173 - 178, Nov. 2002. https://doi.org/10.3792/pjaa.78.173
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