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Families of elliptic curves with trivial Mordell-Weil group
Published online by Cambridge University Press: 17 April 2009
Abstract
Fix and elliptic curve y2 = x3 + Ax + B, satisfying A, B ∈ ℤ A ≥ |B| > 0. We prove that the associated quadratic family contains infinitely many elliptic curves with trivial Mordell-Weil group.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 62 , Issue 2 , October 2000 , pp. 303 - 306
- Copyright
- Copyright © Australian Mathematical Society 2000
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