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This page is a summary of: On the rank of elliptic curves over $\mathbf{Q}(i)$ with torsion group $\mathbf{Z}/4\mathbf{Z} \times \mathbf{Z}/4\mathbf{Z}$, Proceedings of the Japan Academy Series A Mathematical Sciences, June 2010, Project Euclid,
DOI: 10.3792/pjaa.86.93.
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