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arXiv · 1201.0266

Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization

Andrej Dujella·Filip Najman
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Abstract

In this paper, we present several methods for construction of elliptic curves with large torsion group and positive rank over number fields of small degree. We also discuss potential applications of such curves in the elliptic curve factorization method (ECM).

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Andrej Dujella, Filip Najman. 2011-12-31. Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization. https://arxiv.org/abs/1201.0266

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