Let E be an elliptic curve over ] be an irreducible polynomial of odd degree, and let K =F ( โ d). Assume (p) remains prime in K. We prove the analogue of the formula of Gross for the special value L(Eโ F K, 1). As a consequence, we obtain a formula for the order of the Tate-Shafarevich group I(E/K
โฆ LIBER โฆ
On the size of the Shafarevich--Tate group of elliptic curves over function fields
โ Scribed by C. S. RAJAN
- Book ID
- 111522822
- Publisher
- Cambridge University Press
- Year
- 1997
- Tongue
- English
- Weight
- 131 KB
- Volume
- 105
- Category
- Article
- ISSN
- 0010-437X
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