5-Torsion in the ShafarevichβTate Group
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Cheryl DeLorme Beaver
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Article
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2000
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Elsevier Science
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English
β 192 KB
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