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Kılıçer, P.; Streng, T.C. (2023)

The CM class number one problem for curves of genus 2

Article / Letter to editor
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 and Streng [LMS J. Comput. Math., 18(1):507{538, 2015] is complete.
All authors
Kılıçer, P.; Streng, T.C.
Date
2023-01-17
Journal
Research in Number Theory
Volume
9
DOI
doi:10.1007/s40993-022-00417-7