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On Elliptic Curves Y2=x3−n2x with Rank Zero by Keqin Feng; Maosheng Xiong is a Mathematics article available to read on EtoBox.
What is On Elliptic Curves Y2=x3−n2x with Rank Zero about?
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, and such integers n are non-congruent numbers.
Who reads On Elliptic Curves Y2=x3−n2x with Rank Zero?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Keqin Feng; Maosheng Xiong
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-314X)
- Published
- 2004
- Language
- EN
- Field
- Mathematics (Physical Sciences)