The parity of the rank of the mordell-weil group
โ 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
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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.
We construct an elliptic curve defined over Q with MordellแWeil 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