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On the form of the curves of continuous variation

✍ Scribed by K.S. Klausen; F.J. Langmyhr


Publisher
Elsevier Science
Year
1968
Tongue
English
Weight
172 KB
Volume
40
Category
Article
ISSN
0003-2670

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On the variation of Tate–Shafarevich gro
✍ Mihran Papikian πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 368 KB

Let E be an elliptic curve over ] be an irreducible polynomial of odd degree, and let K =F ( √ d). Assume (p) remains prime in K. We prove the analogue of the formula of Gross for the special value L(EβŠ— F K, 1). As a consequence, we obtain a formula for the order of the Tate-Shafarevich group I(E/K