𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Rank 0 Quadratic Twists of a Family of Elliptic Curves

✍ Scribed by Gang Yu


Book ID
110416761
Publisher
Cambridge University Press
Year
2003
Tongue
English
Weight
239 KB
Volume
135
Category
Article
ISSN
0010-437X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


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