Generalizing results of Lemmermeyer, we show that the 2-ranks of the Tate Shafarevich groups of quadratic twists of certain elliptic curves with a rational point of order 2 can be arbitrarily large. We use only quadratic residue symbols in a quadratic field to obtain our results.
On Tate-Shafarevich groups over galois extensions
โ Scribed by Hoseog Yu
- Book ID
- 110678803
- Publisher
- The Hebrew University Magnes Press
- Year
- 2004
- Tongue
- English
- Weight
- 370 KB
- Volume
- 141
- Category
- Article
- ISSN
- 0021-2172
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๐ SIMILAR VOLUMES
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