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Construction of high-rank elliptic curves with a nontrivial torsion point |
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| Authors: | Koh-ichi Nagao. |
| Affiliation: | Shiga Polytecnic College, 1414 Furukawa Cho, Oh-Mihachiman Shiga 523, Japan |
| Abstract: | We construct a family of infinitely many elliptic curves over  with a nontrivial rational 2-torsion point and with rank  6, which is parametrized by the rational points of an elliptic curve of rank  1. |
| Keywords: | Elliptic curve |
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