Daniel Sadornil

A note on factorisation patterns of division polynomials of elliptic curves over finite fields

2023 · Proceedings of the Japan Academy Series A Mathematical Sciences

Let $E$ be an elliptic curve defined over a finite field $\mathbf{F}_{q}$, $q = p^{d}$, $p > 3$, and a prime number $\ell > 3$ such that $q \equiv 1 \pmod{\ell}$ and $\ell \mid \# …