The rank and generators of Kihara's elliptic curve with torsion $\mathbb{Z}/4\mathbb{Z}$ over $\mathbb{Q}(t)$

Autor: Dujella, Andrej, Gusić, Ivica, Tadić, Petra
Rok vydání: 2014
Předmět:
Zdroj: Proc. Japan Acad. Ser. A Math. Sci. 91 (2015), 105-109
Druh dokumentu: Working Paper
DOI: 10.3792/pjaa.91.105
Popis: For the elliptic curve $E$ over $\mathbb{Q}(t)$ found by Kihara, with torsion group $\mathbb{Z}/4\mathbb{Z}$ 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 $E(\mathbb{Q}(t))$.
Databáze: arXiv