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Some results on the Mordell-Weil group of the Jacobian of the Fermat curve

✍ Scribed by Benedict H. Gross; David E. Rohrlich

Publisher
Springer-Verlag
Year
1978
Tongue
English
Weight
861 KB
Volume
44
Category
Article
ISSN
0020-9910

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📜 SIMILAR VOLUMES

The Steinitz Class of the Mordell–Weil G
The Steinitz Class of the Mordell–Weil Group of Some CM Elliptic Curves
✍ David S. Dummit; Wendy L. Miller 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 998 KB

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.