The CM class number one problem for curves of genus 2
KILIÇER, Pınar
Lithe and fast algorithmic number theory [LFANT]
Universiteit Leiden = Leiden University
Analyse cryptographique et arithmétique [CANARI]
Lithe and fast algorithmic number theory [LFANT]
Universiteit Leiden = Leiden University
Analyse cryptographique et arithmétique [CANARI]
KILIÇER, Pınar
Lithe and fast algorithmic number theory [LFANT]
Universiteit Leiden = Leiden University
Analyse cryptographique et arithmétique [CANARI]
< Reduce
Lithe and fast algorithmic number theory [LFANT]
Universiteit Leiden = Leiden University
Analyse cryptographique et arithmétique [CANARI]
Language
en
Article de revue
This item was published in
Research in Number Theory. 2023-03, vol. 9, n° 1, p. article 15
Springer
English Abstract
The CM class number one problem for elliptic curves asked to find all elliptic curves defined over the rationals with non-trivial endomorphism ring. For genus-2 curves it is the problem of determining all CM curves of genus ...Read more >
The CM class number one problem for elliptic curves asked to find all elliptic curves defined over the rationals with non-trivial endomorphism ring. For genus-2 curves it is the problem of determining all CM curves of genus 2 defined over the reflex field. We solve the problem by showing that the list given in Bouyer–Streng [3, Tables 1a, 1b, 2b, and 2c] is complete.Read less <
Origin
Hal imported