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]
< Leer menos
Lithe and fast algorithmic number theory [LFANT]
Universiteit Leiden = Leiden University
Analyse cryptographique et arithmétique [CANARI]
Idioma
en
Article de revue
Este ítem está publicado en
Research in Number Theory. 2023-03, vol. 9, n° 1, p. article 15
Springer
Resumen en inglés
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 ...Leer más >
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.< Leer menos
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