On an infinite family of elliptic curves with rank \(\geq 14\) over \(\mathbb{Q}\)
The author improves the result of [\textit{S. Kihara}, Proc. Japan Acad., Ser. A 73, No. 8, 151 (1997; Zbl 0906.11025)]. He proves that there exist infinitely many elliptic curves defined over \(\mathbb{Q}\) with rank \(\geq 14\). The construction is explicit.
scientific article; zbMATH DE number 1022290