Lorenz Panny

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math.NT2026

The SEA algorithm for endomorphisms of supersingular elliptic curves

Travis Morrison, Lorenz Panny, Jana SotÃ¡kovÃ¡ +1

For a prime $p > 3$ and a supersingular elliptic curve $E$ defined over $F_{p^{2}}$ with $j (E) \in / {0, 1728}$ , consider an endomorphism $I^\pm$ of $E$ represented as a…

math.NT2025

Evaluation of Modular Polynomials from Supersingular Elliptic Curves

Maria Corte-Real Santos, Jonathan Komada Eriksen, Antonin Leroux +2

We present several new algorithms to evaluate modular polynomials of level $ℓ$ modulo a prime $p$ on an input $j$ . More precisely, we introduce two new generic algorithms, shari…