Mestre, Jean-François Elliptic curves with rank \(\geq 11\) over \(\mathbb Q(t)\). (Courbes elliptiques de rang \(\geq 11\) sur \(\mathbb Q(t)\).) (French) Zbl 0745.14013 C. R. Acad. Sci., Paris, Sér. I 313, No. 3, 139-142 (1991). The author constructs elliptic curves over \(\mathbb Q(t)\) with non-constant \(j\)-invariant such that the Mordell-Weil group of the curve has rank \(\geq 11\). Reviewer: David Goss (Columbus/Ohio) Cited in 10 ReviewsCited in 16 Documents MSC: 11G05 Elliptic curves over global fields 14H52 Elliptic curves 11R58 Arithmetic theory of algebraic function fields Keywords:rank of Mordell-Weil group; elliptic curves PDFBibTeX XMLCite \textit{J.-F. Mestre}, C. R. Acad. Sci., Paris, Sér. I 313, No. 3, 139--142 (1991; Zbl 0745.14013)