Counting 5-isogenies of elliptic curves over $\mathbb{Q}$

Santiago Arango-Piñeros, Changho Han, Oana Padurariu +1

We show that the number of $5$-isogenies of elliptic curves defined over $\mathbb{Q}$ with naive height bounded by $H>0$ is asymptotic to $C_5\cdot H^{1/6}(\log H{)}^2$ for some e…