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The parity of the rank of the mordell-weil group

โœ Scribed by B.J. Birch; N.M. Stephens


Book ID
107864946
Publisher
Elsevier Science
Year
1966
Tongue
English
Weight
272 KB
Volume
5
Category
Article
ISSN
0040-9383

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๐Ÿ“œ SIMILAR VOLUMES


The Steinitz Class of the Mordellโ€“Weil G
โœ David S. Dummit; Wendy L. Miller ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.

On the Existence of Elliptic Curves of M
โœ Hizuru Yamagishi ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 92 KB

We construct an elliptic curve defined over Q with MordellแސWeil rank G 6 as a generic twist by a certain quadratic extension. Moreover, since they have four independent parameters, they give us rather a large supply of elliptic curves defined over Q with rank G 6. As an application, we find infinite