ID | 33605 |
FullText URL | |
Author |
Kuwata, Masato
|
Abstract | For an elliptic curve E over a number field k, we look for a polynomial f(t) such that rankEf(t)(k(t)) is at least 3. To do so, we construct a family of hyperelliptic curves C : s² = f(t) over k of genus 3 such that J(C) is isogenous to E1 × E2 × E3, and we give an example of C and E such that J(C) is isogenous to E × E × E over Q(√−3). |
Keywords | Elliptic Curve
Hyperelliptic Curves
Quadratic
|
Published Date | 2005-01
|
Publication Title |
Mathematical Journal of Okayama University
|
Volume | volume47
|
Issue | issue1
|
Publisher | Department of Mathematics, Faculty of Science, Okayama University
|
Start Page | 85
|
End Page | 98
|
ISSN | 0030-1566
|
NCID | AA00723502
|
Content Type |
Journal Article
|
language |
English
|
File Version | publisher
|
Refereed |
True
|
Submission Path | mjou/vol47/iss1/8
|
JaLCDOI |