Elliptic Curves of High Rank with Nontrivial Torsion Group over $\Q$

Kulesz, Leopoldo; Stahlke, Colin

Experiment. Math., Tome 10 (2001) no. 3, p. 475-480 / Harvested from Project Euclid

Résumé

We construct elliptic curves over $\Q$ of high Mordell--Weil rank, with a nontrivial torsion subgroup. We improve the rank records for the cases $\Z/2\Z \times \Z/2\Z$, $\Z/3\Z$, $\Z/4\Z$, $\Z/5\Z$, $\Z/6\Z$, $\Z/7\Z$ and $\Z/8\Z$.

Publié le : 2001-05-14
Classification:

@article{1069786352,
     author = {Kulesz, Leopoldo and Stahlke, Colin},
     title = {Elliptic Curves of High Rank with Nontrivial Torsion Group over $\Q$},
     journal = {Experiment. Math.},
     volume = {10},
     number = {3},
     year = {2001},
     pages = { 475-480},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1069786352}
}

Kulesz, Leopoldo; Stahlke, Colin. Elliptic Curves of High Rank with Nontrivial Torsion Group over $\Q$. Experiment. Math., Tome 10 (2001) no. 3, pp.  475-480. http://gdmltest.u-ga.fr/item/1069786352/