Abstract
We outline a general algorithm for computing an explicit model over a number field of any curve of genus 2 whose (unpolarized) Jacobian is isomorphic to the product of two elliptic curves with CM by the same order in an imaginary quadratic field. We give the details and some examples for the case where the order has prime discriminant and class number one.
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© 2000 Springer-Verlag Berlin Heidelberg
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Rodriguez-Villegas, F. (2000). Explicit Models of Genus 2 Curves with Split CM. In: Bosma, W. (eds) Algorithmic Number Theory. ANTS 2000. Lecture Notes in Computer Science, vol 1838. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10722028_33
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DOI: https://doi.org/10.1007/10722028_33
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-67695-9
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