On the rank of the elliptic curve \(y^ 2=x^ 3+k\). II
By construction of the required number of independent points on the Mordell curve \[ y^2= x^3+k, \quad k\in\mathbb{Q}^* \] for certain \(k=k(t)\) depending on a parameter \(t\), the author shows that there are infinitely many non-isomorphic (over \(\mathbb{Q})\) Mordell curves of rank at least 7. This extends previous work of the author [\textit{S. Kihara}, Proc. Japan Acad., Ser. A 63, 76-78 (1987; Zbl 0629.14024)].
scientific article; zbMATH DE number 1022275