27 citations · 86 across the 16 of their papers we have counts for
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math.NT2012★ 2 cited
On the Distribution of 2-Selmer Ranks within Quadratic Twist Families of Elliptic Curves with Partial Rational Two-Torsion
Zev Klagsbrun
This paper presents a new result concerning the distribution of 2-Selmer ranks in the quadratic twist family of an elliptic curve with a single point of order two that does not hav…
math.NT2012
Selmer Ranks of Quadratic Twists of Elliptic Curves with Partial Rational Two-Torsion
Zev Klagsbrun
This paper investigates which integers can appear as 2-Selmer ranks within the quadratic twist family of an elliptic curve E defined over a number field K with E(K)[2] = Z/2Z. We s…
math.NT2012★ 1 cited
A Family of Elliptic Curves with a Lower Bound on 2-Selmer Ranks of Quadratic Twists
Zev Klagsbrun
For any number field K with a complex place, we present an infinite family of elliptic curves defined over K such that $dim \mathbb{F}_2 Sel_2(E^F/K) \ge dim \mathbb{F}_2 E^F(K)[2]…