Vol. 4, No. 1, 2020
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New rank records for elliptic curves having rational torsion

Noam D. Elkies and Zev Klagsbrun
Vol. 4 (2020), No. 1, 233–250
DOI: 10.2140/obs.2020.4.233
Abstract

We present rank-record breaking elliptic curves having torsion subgroups ℤ∕nℤ for n = 2,3,4,5,6, and 7.

Keywords
elliptic curves, ranks of elliptic curves
Mathematical Subject Classification
Primary: 11G05
Milestones
Received: 24 February 2020
Accepted: 29 April 2020
Published: 29 December 2020
Authors
Noam D. Elkies
Department of Mathematics
Harvard University
Cambridge, MA
United States
Zev Klagsbrun
Center for Communications Research
San Diego, CA
United States