Ordinary elliptic curves of high rank over \(\bar {\mathbb F}_{p}(x)\) with constant \(j\)-invariant. II

DOI10.1016/j.jnt.2006.08.005zbMath1190.11033arXivmath/0509600OpenAlexW2016661009MaRDI QIDQ877919

Claus Diem, Jasper Scholten

Publication date: 4 May 2007

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509600

zbMATH Keywords

Jacobianselliptic curves of high rank

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) Jacobians, Prym varieties (14H40) Curves over finite and local fields (11G20)

Related Items (1)

Maximal curves and Tate-Shafarevich results for quartic and sextic twists

Cites Work

• Algebraic function fields and codes
• The Čebotarev density theorem for function fields: An elementary approach
• An example of unirational surfaces in characteristic \(p\)
• Constructive and destructive facets of Weil descent on elliptic curves
• Ordinary elliptic curves of high rank over \(\overline{\mathbb F}_p(x)\) with constant \(j\)-invariant
• Families of elliptic curves with genus 2 covers of degree 2
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
• Éléments de géométrie algébrique. III: Étude cohomologique des faisceaux cohérents. (Séconde partie). Rédigé avec la colloboration de J. Dieudonné
• On the Existence of Supersingular Curves of Given Genus
• Varieties Defined by Quadratic Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Ordinary elliptic curves of high rank over \(\bar {\mathbb F}_{p}(x)\) with constant \(j\)-invariant. II