21 citations · 21 across the 1 of their papers we have counts for
3 papers
math.NT2017★ 21 cited
Torsion points on elliptic curves over number fields of small degree
Maarten Derickx, Sheldon Kamienny, William Stein +1
We determine the set of possible prime orders of -rational points on elliptic curves over number fields of degree , for , , , and .
math.NT2016
Points of order 13 on elliptic curves
Sheldon Kamienny, Burton Newman
We pick up the study of 13-torsion in elliptic curves where Mazur and Tate left off 45 years ago. We consider various questions concerning elliptic curves defined over the maximal…
math.NT2011
Torsion groups of elliptic curves over quadratic fields
Sheldon Kamienny, Filip Najman
We describe methods to determine all the possible torsion groups of an elliptic curve that actually appear over a fixed quadratic field. We use these methods to find, for each grou…