Experimental Mathematics

Ranks of elliptic curves in families of quadratic twists

Karl Rubin and Alice Silverberg

Abstract

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.

Article information

Source
Experiment. Math., Volume 9, Issue 4 (2000), 583-590.

Dates
First available in Project Euclid: 20 February 2003

Permanent link to this document
https://projecteuclid.org/euclid.em/1045759523

Mathematical Reviews number (MathSciNet)
MR1806293

Zentralblatt MATH identifier
0959.11023

Subjects
Primary: 11G05: Elliptic curves over global fields [See also 14H52]

Citation

Rubin, Karl; Silverberg, Alice. Ranks of elliptic curves in families of quadratic twists. Experiment. Math. 9 (2000), no. 4, 583--590. https://projecteuclid.org/euclid.em/1045759523


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