Models of some genus one curves with applications to descent

DOI10.1016/j.jnt.2004.09.006zbMath1095.11032OpenAlexW2059912670MaRDI QIDQ557570

Catherine O'Neil

Publication date: 30 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2004.09.006

zbMATH Keywords

elliptic curvesdescentnorm symbolperiod-index obstruction

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Related Items (1)

Period and index, symbol lengths, and generic splittings in Galois cohomology

Cites Work

• The period-index obstruction for elliptic curves
• On the distribution of integer points on curves of genus zero
• Explicit 4-descents on an elliptic curve
• Principal Homogeneous Spaces Over Abelian Varieties
• Second descents for elliptic curves
• How to do a 𝑝-descent on an elliptic curve
• Solving norm equations in relative number fields using $S$-units
• Computing the Rank of Elliptic Curves over Number Fields
• Advanced Topics in Computional Number Theory
• Notes on elliptic curves. I.
• Classical invariants and 2-descent on elliptic curves
• Algorithmic number theory. 4th international symposium. ANTS-IV, Leiden, the Netherlands, July 2--7, 2000. Proceedings
• Jacobians of genus one curves

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