Skip to Main content Skip to Navigation
New interface
Preprints, Working Papers, ...

The CM class number one problem for curves of genus 2

Pinar Kiliçer 1, 2 Marco Streng 2 
1 LFANT - Lithe and fast algorithmic number theory
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
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 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.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

Cited literature [25 references]  Display  Hide  Download
Contributor : Pınar Kılıçer Connect in order to contact the contributor
Submitted on : Tuesday, December 29, 2015 - 12:49:54 PM
Last modification on : Wednesday, February 2, 2022 - 3:54:29 PM
Long-term archiving on: : Wednesday, March 30, 2016 - 10:21:44 AM


Files produced by the author(s)


  • HAL Id : hal-01248630, version 1



Pinar Kiliçer, Marco Streng. The CM class number one problem for curves of genus 2. 2015. ⟨hal-01248630⟩



Record views


Files downloads