Index form surfaces and construction of elliptic curves over large finite fields

zbMATH Open1014.11021MaRDI QIDQ2765013

Attila Pethő

Publication date: 4 July 2002

zbMATH Keywords

index form equationindex form surface

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Multiplicative and norm form equations (11D57)

Related Items (1)

Towers of surfaces dominated by products of curves and elliptic curves of large rank over function fields

Recommendations

• Title not available (Why is that?) 👍 👎
• Title not available (Why is that?) 👍 👎
• Title not available (Why is that?) 👍 👎
• On unit power integral bases of \(\mathbb Z[\root 4 \of {m}\)] 👍 👎
• On certain elliptic surfaces and elliptic curves of Mordell of rank \(\geq 1\) associated with discriminants of cubic or quartic polynomials 👍 👎
• Simultaneous representation of integers by a pair of ternary quadratic forms -- with an application to index form equations in quartic number fields 👍 👎
• Index form equations in quintic fields 👍 👎
• Index form equations in sextic fields: a hard computation 👍 👎
• On the Resolution of Index Form Equations in Dihedral Quartic Number Fields 👍 👎
• Computing power integral bases in quartic relative extensions 👍 👎

This page was built for publication: Index form surfaces and construction of elliptic curves over large finite fields

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2765013)