Kihara, Shoichi On the rank of the elliptic curves with a rational point of order 4. II. (English) Zbl 1073.11038 Proc. Japan Acad., Ser. A 80, No. 8, 158-159 (2004). In this note the author constructs an elliptic curve defined over \(\mathbb Q(t)\) with nonconstant \(j\)-invariant, a rational point of order \(4\), and Mordell-Weil rank \(\geq 5\).Part I, cf. ibid. 80, No. 4, 26–27 (2004; Zbl 1050.11058). Reviewer: Franz Lemmermeyer (Bilkent) Cited in 1 ReviewCited in 3 Documents MSC: 11G05 Elliptic curves over global fields 14G25 Global ground fields in algebraic geometry Keywords:elliptic curves; Mordell-Weil rank Citations:Zbl 1050.11058 PDF BibTeX XML Cite \textit{S. Kihara}, Proc. Japan Acad., Ser. A 80, No. 8, 158--159 (2004; Zbl 1073.11038) Full Text: DOI OpenURL References: [1] Kihara, S.: On the rank of elliptic curves with a rational points of order 4. Proc. Japan Acad. 80A ., 26-27 (2004). · Zbl 1050.11058 [2] Kihara, S.: On the rank of elliptic curves with three rational points of order 2. III. Proc. Japan Acad. 80A ., 13-14 (2004). · Zbl 1050.11059 [3] Silverman, J. H.: The Arithmetic of Elliptic Curves. Grad. Texts in Math., 106. Springer, New York (1986). · Zbl 0585.14026 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.