Ranks of elliptic curves in families of quadratic twists

Rubin, Karl; Silverberg, Alice

Experiment. Math., Tome 9 (2000) no. 3, p. 583-590 / Harvested from Project Euclid

Résumé

We show that the unboundedness of the ranks of the quadratic twists of an elliptic curve is equivalent to the divergence of certain infinite series.

Publié le : 2000-10-14
Classification: 11G05

@article{1045759523,
     author = {Rubin, Karl and Silverberg, Alice},
     title = {Ranks of elliptic curves in families of quadratic twists},
     journal = {Experiment. Math.},
     volume = {9},
     number = {3},
     year = {2000},
     pages = { 583-590},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1045759523}
}

Rubin, Karl; Silverberg, Alice. Ranks of elliptic curves in families of quadratic twists. Experiment. Math., Tome 9 (2000) no. 3, pp.  583-590. http://gdmltest.u-ga.fr/item/1045759523/