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On the elliptic curvey2=x3−2rDxand factoring integers

✍ Scribed by Li, XiuMei; Zeng, JinXiang


Book ID
121567003
Publisher
SP Science China Press
Year
2014
Tongue
English
Weight
212 KB
Volume
57
Category
Article
ISSN
1674-7283

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On elliptic curves y2=x3−n2x with rank z
✍ Keqin Feng; Maosheng Xiong 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 329 KB

In this paper we determine all elliptic curves E n : xÞ based on the 2-descent method. The values of n for such curves E n are described in terms of graph-theory language. It is well known that the rank of the group E n ðQÞ for such curves E n is zero, the order of its Tate-Shafarevich group is odd