The CM class number one problem for curves of genus 2

    Pınar Kılıçer
    Pınar Kılıçer

    arXiv: Number Theory, 2015.

    Cited by: 0|Bibtex|Views0|

    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,...More

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