Burton Newman

most citedGrowth of torsion of elliptic curves with odd-order torsion over quadratic cyclotomic fields

2 citations · 2 across the 3 of their papers we have counts for

collaborators

4 papers

math.NT2023

The Effect of Quadratic Base Change on Torsion of Elliptic Curves

Irmak Balçık, Burton Newman

Let $K$ be a quadratic number field and let $E$ be an elliptic curve defined over $K$ such that $E [2] \neq \subseteq E (K) .$ In this paper, we study the effect of quadratic base chan…

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.NT2016★ 2 cited

Growth of torsion of elliptic curves with odd-order torsion over quadratic cyclotomic fields

Burton Newman

Let $K = Q (- 3)$ or $Q (- 1)$ and let $C_{n}$ denote the cyclic group of order $n$ . We study how the torsion part of an elliptic curve over $K$ grows in…

math.NT2016

Growth of torsion of elliptic curves with full 2-torsion over quadratic cyclotomic fields

Burton Newman

Let $K = Q (- 3)$ or $Q (- 1)$ and let $C_{n}$ denote the cyclic group of order $n$ . We study how the torsion part of an elliptic curve over $K$ grows in…