A parametrised family of Mordell curves
Ajai Choudhry, Arman Shamsi Zargar

TL;DR
This paper introduces a parametrized family of Mordell curves with a minimum rank of three and a torsion group of Z/3Z, expanding understanding of their algebraic properties.
Contribution
It presents a new parametrized family of Mordell curves with guaranteed rank and specific torsion structure, advancing the classification of these elliptic curves.
Findings
Family of Mordell curves with rank ≥ 3
Torsion group is Z/3Z for these curves
Provides explicit parametrizations of such curves
Abstract
An elliptic curve defined by an equation of the type is called a Mordell curve. We obtain a parametrised family of Mordell curves whose rank, in general, is at least three, and whose torsion group is .
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Advanced Algebra and Geometry
