On the rank of elliptic curves with three rational points of order 2. II
The author improves the result of Part I [\textit{S. Kihara} Proc. Japan Acad., Ser. A 73, No. 5, 77-78 (1997; Zbl 0906.11024)]. He proves that there exist infinitely many elliptic curves defined over \(\mathbb{Q}\) with rank \(\geq 5\) with the \(2\)-division subgroup \(\mathbb{Q}\)-rational. The construction is explicit.
\(\mathbb{Q}\)-rational 2-division subgroup
scientific article; zbMATH DE number 1160940