Section: New Software and Platforms
Abelian Varieties and Isogenies
Keywords: Computational number theory - Cryptography
Functional Description: AVIsogenies is a Magma package for working with abelian varieties, with a particular emphasis on explicit isogeny computation.
Its prominent feature is the computation of (l,l)-isogenies between Jacobian varieties of genus-two hyperelliptic curves over finite fields of characteristic coprime to l, practical runs have used values of l in the hundreds.
It can also be used to compute endomorphism rings of abelian surfaces, and find complete addition laws on them.