Torsion points on elliptic curves over fields of low degree
โ Scribed by S. Kamienny
- Publisher
- Springer
- Year
- 1989
- Tongue
- English
- Weight
- 290 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0025-2611
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let E be a modular elliptic curve defined over a rational function field k of odd characteristic. We construct a sequence of Heegner points on E; defined over a Z N p -tower of finite extensions of k; and show that these Heegner points generate a group of infinite rank. This is a function field anal
Using Drinfeld modular curves we determine the places of supersingular reduction of elliptic curves over F 2 r( T) with certain conductors. This enables us to classify and describe explicitly all elliptic curves over F 2 r( T ) having a conductor of degree 4. Our results also imply that extremal ell