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Positive rank quadratic twists of four elliptic curves

✍ Scribed by Bo-Hae Im


Book ID
118250660
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
158 KB
Volume
133
Category
Article
ISSN
0022-314X

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Mordell–Weil Ranks of Quadratic Twists o
✍ Gwynneth Coogan; Jorge JimenΓ©z-Urroz πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 146 KB

Motivated by a conjecture of Mazur, Kuwata and Wang proved that for elliptic curves E 1 and E 2 whose j-invariants are not simultaneously 0 or 1728, there exist infinitely many square-free integers d for which the rank of the Mordell-Weil group of the d-quadratic twists of E 1 and E 2 satisfy: rkΓ°E