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math.AG2017
Families of elliptic curves with rational torsion points of even order
Boris M. Bekker, Yuri G. Zarhin
This paper is a follow up of arXiv:1702.02255 [math.NT]. We construct explicitly versal families of elliptic curves with rational points of order 4, 6, 8, 10, 12 respectively.
math.NT2017★ 4 cited
The divisibility by 2 of rational points on elliptic curves
Boris M. Bekker, Yuri G. Zarhin
We give a simple proof of the well-known divisibility by 2 condition for rational points on elliptic curves with rational 2-torsion. As an application of the explicit division by $…