✦ LIBER ✦

Note on the rank of quadratic twists of Mordell equations

✍ Scribed by Sungkon Chang

Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 116 KB
Volume: 118
Category: Article
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2005.08.004

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Mordell–Weil Ranks of Quadratic Twists o

Mordell–Weil Ranks of Quadratic Twists of Pairs of Elliptic Curves

✍ Gwynneth Coogan; Jorge Jimenéz-Urroz 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 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: rkðE

A Note on the Rank of Quadratic Twists o

A Note on the Rank of Quadratic Twists of an Elliptic Curve

✍ Jasbir Singh 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 162 KB

On the rank of quadratic equations in fr

On the rank of quadratic equations in free groups

✍ Leo P. Comerford Jr.; Charles C. Edmunds 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 713 KB

On the Mordell-Weil rank of an abelian v

On the Mordell-Weil rank of an abelian variety over a number field

✍ Takeshi Ooe; Jaap Top 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 288 KB

On the Existence of Elliptic Curves of M

On the Existence of Elliptic Curves of Mordell–Weil Rank 6 with Four Parameters

✍ Hizuru Yamagishi 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 92 KB

We construct an elliptic curve defined over Q with Mordell᎐Weil rank G 6 as a generic twist by a certain quadratic extension. Moreover, since they have four independent parameters, they give us rather a large supply of elliptic curves defined over Q with rank G 6. As an application, we find infinite

A note on the computation of the CP-rank

✍ Abraham Berman; Uriel G. Rothblum 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 114 KB