Construction of high-rank elliptic curves with a nontrivial torsion point

Koh-ichi Nagao
1997 Mathematics of Computation  
We construct a family of infinitely many elliptic curves over Q 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.
doi:10.1090/s0025-5718-97-00779-5 fatcat:ywxoda6tuvdy5jpdilbb2n65ya