On certain elliptic surfaces and elliptic curves of Mordell of rank \(\geq 1\) associated with discriminants of cubic or quartic polynomials

DOI10.1006/JNTH.1999.2393zbMath0944.11018OpenAlexW2021635864MaRDI QIDQ1306704

Franck Leprévost

Publication date: 11 November 1999

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

Full work available at URL: https://doi.org/10.1006/jnth.1999.2393

zbMATH Keywords

Kodaira dimensionelliptic curveelliptic surfacetorsion groupAlbanese varietyMordell curve

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Elliptic curves (14H52)

Uses Software

• ecdata

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the resolution of index form equations in quartic number fields
• Arithmetic variety of moduli for genus two
• Über den 3-Rang von quadratischen Zahlkörpern und den Rang gewisser elliptischer Kurven

This page was built for publication: On certain elliptic surfaces and elliptic curves of Mordell of rank \(\geq 1\) associated with discriminants of cubic or quartic polynomials