Abstract
We construct an elliptic curve of rank at least 4 over $Q(t)$ with a rational point of order 4. We also show an infinite family of elliptic curves of rank at least 5 over $Q$ with a rational point of order4, which is parametrized by the rational points of an elliptic curve of rank at least 1.
Citation
Shoichi Kihara. "On the rank of the elliptic curves with a rational point of order 4." Proc. Japan Acad. Ser. A Math. Sci. 80 (4) 26 - 27, April 2004. https://doi.org/10.3792/pjaa.80.26
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