11 citations · 12 across the 2 of their papers we have counts for
2 papers
math.NT2021★ 1 cited
The Failure of Galois Descent for p-Selmer Groups of Elliptic Curves
Ross Paterson
We show that if F is the rational numbers or a multiquadratic number field, p is 2,3, or 5, and K/F is a Galois extension of degree a power of p, then for elliptic curves E/Q order…
math.NT2020★ 11 cited
On 2-Selmer groups of twists after quadratic extension
Adam Morgan, Ross Paterson
Let be an elliptic curve with full rational 2-torsion. As d varies over squarefree integers, we study the behaviour of the quadratic twists over a fixed quadra…