Infinitely many elliptic curves of rank exactly two, II

Infinitely many elliptic curves of rank exactly two, II

In this paper, we construct an infinite family of elliptic curves whose rank is exactly two and the torsion subgroup is a cyclic group of order two or three, under the parity conjecture.

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Bibliographische Detailangaben
1. Verfasser: Jeong, Keunyoung
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Number Theory
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Zusammenfassung:In this paper, we construct an infinite family of elliptic curves whose rank is exactly two and the torsion subgroup is a cyclic group of order two or three, under the parity conjecture.
DOI:10.48550/arxiv.1805.00639