Abstract
We construct elliptic curves over the field $\mathbf{Q}(\sqrt{-3})$ with torsion group $\mathbf{Z}/3\mathbf{Z} \times \mathbf{Z}/3\mathbf{Z}$ and ranks equal to 7 and an elliptic curve over the same field with torsion group $\mathbf{Z}/3\mathbf{Z} \times \mathbf{Z}/6\mathbf{Z}$ and rank equal to 6.
Citation
Mirela Jukić Bokun. "On the rank of elliptic curves over $\mathbf{Q}(\sqrt{-3})$ with torsion groups $\mathbf{Z}/3\mathbf{Z} \times \mathbf{Z}/3\mathbf{Z}$ and $\mathbf{Z}/3\mathbf{Z} \times \mathbf{Z}/6\mathbf{Z}$." Proc. Japan Acad. Ser. A Math. Sci. 87 (5) 61 - 64, May 2011. https://doi.org/10.3792/pjaa.87.61
Information
