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Local fields generated by 3-division points of elliptic curves 内藤, 浩忠 ナイトウ, ヒロタダ Naito, Hirotada Elliptic curves local fields Galois theory. We determine all the extensions generated by 3-division points of elliptic curves over the fields of p-adic numbers. As application, we construct GL2(F3) extensions over the field of rational numbers with given finitely many local conditions. journal article 日本学士院 Japan Academy 2002-11 VoR application/pdf Proceedings of the Japan Academy Ser. A Mathematical Sciences 9 78 173 178 AA00785474 0386-2194 https://kagawa-u.repo.nii.ac.jp/record/466/files/AA00785474_78_9_173.pdf https://kagawa-u.repo.nii.ac.jp/records/466 eng 40005647815 Project Euclid https://projecteuclid.org/euclid.pja/1148392352 Open access Copyrights(C) 2002, The Japan Academy 日本学士院の許諾を得て登録 open access