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On elliptic curves of
rank four with three-division rational point
Hizuru Yamagishi |
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Vol. 206 (2002), No. 1, 231–244
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Abstract |
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A universal family of elliptic curves of rank 4 with 3-division rational points is constructed. The base space is shown to be an elliptic K3 surface whose group of sections is of infinite order. Thus we obtain infinitely many such elliptic curves with mutually distinct j-invariants. |
Milestones
Received: 6 November 2000
Revised: 28 January 2002
Published: 1 September 2002
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Authors |
| Hizuru Yamagishi | |
| Tokyo Denki University College of Science and Engineering Department of Natural Sciences, Hatoyama Saitama 350-0394, Japan |
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