Abstract
For the elliptic curve $E$ over $\mathbf{Q}(t)$ found by Kihara, with torsion group $\mathbf{Z}/4\mathbf{Z}$ and rank $\geq 5$, which is the current record for the rank of such curves, by using a suitable injective specialization, we determine exactly the rank and generators of $E(\mathbf{Q}(t))$.
Citation
Andrej Dujella. Ivica Gusić. Petra Tadić. "The rank and generators of Kihara’s elliptic curve with torsion $\mathbf{Z}/4\mathbf{Z}$ over $\mathbf{Q}(t)$." Proc. Japan Acad. Ser. A Math. Sci. 91 (8) 105 - 109, October 2015. https://doi.org/10.3792/pjaa.91.105
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