Explicit 8-descent on elliptic curves

By Sebastian Karl Michael Stamminger. 2005

69 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/3815eee097b74649ec63fe4f6e19e31d40bd70ff

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. John Cremona
2. Michael Stoll
3. Tom A. Fisher
4. J. Cannon
5. W. Bosma
6. Cathy O'Neil
7. C. Fieker
8. Samir Siksek

Citations in the corpus

• Explicit n-descent on elliptic curves, I. Algebra (2006, background): “Higher 2-power descents (also known as second and third 2-descents) have been studied and implemented by Siksek [10] and Womack [20] for 4-descent, and by Stamminger [19] for 8-descent.”
• MINIMISATION AND REDUCTION OF 2-, 3- AND 4-COVERINGS OF ELLIPTIC CURVES (2009, methodology): “Earlier work on 4-coverings, including [Siksek 1995] and [Womack 2003], used pairs of symmetric matrices rather the pairs of quadrics.”
• HANDBOOK OF MAGMA FUNCTIONS (2011, methodology): “The algorithm and (with slight modifications) the implementation are due to Sebastian Stamminger (see [Sta05]).”