Mordell-Weil lattice of Inose's elliptic \(K3\) surface arising from the product of 3-isogenous elliptic curves

DOI10.1016/J.JNT.2018.03.001zbMath1390.14113arXiv1609.05312OpenAlexW2521221963MaRDI QIDQ1753832

Masato Kuwata, Kazuki Utsumi

Publication date: 29 May 2018

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

Full work available at URL: https://arxiv.org/abs/1609.05312

zbMATH Keywords

elliptic curves\(K3\) surfaceelliptic surfaceMordell-Weil lattice

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) (K3) surfaces and Enriques surfaces (14J28) Elliptic curves (14H52) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27)

Cites Work

• Kummer sandwich theorem of certain elliptic \(K3\) surfaces
• The canonical height and elliptic surfaces
• ELLIPTIC K3 SURFACES ASSOCIATED WITH THE PRODUCT OF TWO ELLIPTIC CURVES: MORDELL–WEIL LATTICES AND THEIR FIELDS OF DEFINITION
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Mordell-Weil lattice of Inose's elliptic \(K3\) surface arising from the product of 3-isogenous elliptic curves