Abstract
In this note, we construct an infinite family of elliptic curves $E$ defined over $\mathbf{Q}$ whose Mordell-Weil group $E(\mathbf{Q})$ has rank exactly two under the parity conjecture.
Citation
Dongho Byeon. Keunyoung Jeong. "Infinitely many elliptic curves of rank exactly two." Proc. Japan Acad. Ser. A Math. Sci. 92 (5) 64 - 66, May 2016. https://doi.org/10.3792/pjaa.92.64
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