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Selmer groups of quadratic twists of elliptic curves

✍ Scribed by Kevin James; Ken Ono


Publisher
Springer
Year
1999
Tongue
English
Weight
132 KB
Volume
314
Category
Article
ISSN
0025-5831

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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