We construct an infinite family of elliptic curves of rank at least 4 over Q with a rational point of order 6, which is parametrized by the rational points of an elliptic curve of rank at least 1.
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Univ Southern Calif, Dept Math, 3620 S Vermont Ave,KAP 104, Los Angeles, CA 90089 USAUniv Southern Calif, Dept Math, 3620 S Vermont Ave,KAP 104, Los Angeles, CA 90089 USA
Kamienny, Sheldon
Newman, Burton
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Univ Southern Calif, Dept Math, 3620 S Vermont Ave,KAP 104, Los Angeles, CA 90089 USAUniv Southern Calif, Dept Math, 3620 S Vermont Ave,KAP 104, Los Angeles, CA 90089 USA