Local fields generated by 3-division points of elliptic curves
Naito, Hirotada
Proc. Japan Acad. Ser. A Math. Sci., Tome 78 (2002) no. 10, p. 173-178 / Harvested from Project Euclid
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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.
Publié le : 2002-11-14
Classification:  Elliptic curves,  local fields,  Galois theory,  11F85,  11G05,  11G07 
@article{1148392352,
     author = {Naito, Hirotada},
     title = {Local fields generated by 3-division points of elliptic curves},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {78},
     number = {10},
     year = {2002},
     pages = { 173-178},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148392352}
}

Naito, Hirotada. Local fields generated by 3-division points of elliptic curves. Proc. Japan Acad. Ser. A Math. Sci., Tome 78 (2002) no. 10, pp.  173-178. http://gdmltest.u-ga.fr/item/1148392352/