On parameterizations of cyclic $N$-isogenies and strict $K$-curves lying above rational points of $Y_0^{+}(N)$

Christopher Dowd

Elliptic $K$-curves are elliptic curves defined over some field extension $L/K$ that are isogenous to all of their Galois conjugates. We present a new result on $K$-curves $E$ that…