Francesco Campagna

Algebraic relations over finite fields that preserve the endomorphism rings of CM $j$-invariants

2023 · arXiv (Cornell University)

We characterise the integral affine plane curves over a finite field $k$ with the property that all but finitely many of their $\overline{k}$-points have coordinates that are $j$-invariants of elliptic curves with isomorphic endomorphism rings. …