We compute the ,-Selmer group for a family of elliptic curves, where , is an isogeny of degree 5, then find a practical formula for the Cassels Tate pairing on the ,-Selmer groups and use it to show that a particular family of elliptic curves have non-trivial 5-torsion in their Shafarevich Tate grou
The Shafarevich-Tate group and the Jacobian of a cyclic quotient of a Fermat curve
β Scribed by Chong -Hai Lim
- Publisher
- Springer
- Year
- 1995
- Tongue
- English
- Weight
- 236 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0003-889X
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