High Rank Elliptic Curves with Torsion Z/2z× Z/4z Induced by Diophantine Triples

نویسنده

  • ANDREJ DUJELLA
چکیده

We construct an elliptic curve over the eld of rational functions with torsion group Z/2Z × Z/4Z and rank equal to 4, and an elliptic curve over Q with the same torsion group and rank 9. Both results improve previous records for ranks of curves of this torsion group. They are obtained by considering elliptic curves induced by Diophantine triples.

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تاریخ انتشار 2012