Construction of elliptic curves over \(\mathbb{Q}(t)\) with high rank: A preview

DOI10.3792/pjaa.66.57zbMath0762.14016OpenAlexW2070836755MaRDI QIDQ1813898

Tetsuji Shioda

Publication date: 25 June 1992

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.66.57

zbMATH Keywords

Mordell-Weil latticeelliptic curve over function field of rank 8rational points generating the Mordell-Weil group

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Rational points (14G05) Elliptic curves over global fields (11G05) Elliptic curves (14H52) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (1)

Symmetric Diophantine systems and families of elliptic curves of high rank

Cites Work

• Mordell-Weil lattices and Galois representation. I
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