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The Steinitz Class of the Mordell–Weil Group of Some CM Elliptic Curves

✍ Scribed by David S. Dummit; Wendy L. Miller

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
998 KB
Volume
56
Category
Article
ISSN
0022-314X

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✦ Synopsis

Explicit complex multiplications for some elliptic curves with CM by O=Z[-&10] are given and used to determine the O-module structure of the Mordell Weil groups of the curves over Q(-&10, -5). The Steinitz class of these modules is determined and in particular shown not to be an isogeny invariant.

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