2 papers
math.NT2008
On the pre-image of a point under an isogeny
Jonathan Reynolds
Given a rational point on a curve in a rational isogeny class, a natural question concerns the field of definition of its pre-images. The multiplication by m endomorphism is a powe…
math.NT2006
Rational points on elliptic curves
Graham Everest, Jonathan Reynolds, Shaun Stevens
We consider the structure of rational points on elliptic curves in Weierstrass form. Let x(P)=A_P/B_P^2 denote the -coordinate of the rational point P then we consider when B_P…