3 papers
math.NT2026
-elliptic modular curves
Maarten Derickx, Daeyeol Jeon, Yongjae Kwon +1
We present a method for determining whether there exists a degree rational map from to some elliptic curve . Moreover, we explain how to obtain a quadrat…
math.NT2026
Strong Weil Degree Divisibility at Higher Levels
Daeyeol Jeon, Yongjae Kwon
Let \(π_E:X_0(M)\to E\) be the strong Weil parametrization with Manin constant \(c_E\). We prove \(°π_E\mid c_E^{Ω(N/M)}°g\) for every multiple \(N\) of \(M\) and every nonconstant…
math.NT2025
Explicit constructions of cyclic N-isogenies
Daeyeol Jeon, Yongjae Kwon
The modular curve X_0(N) parametrizes elliptic curves together with a cyclic subgroup of order N, and hence cyclic N-isogenies. While explicit moduli descriptions of X_1(N) are wel…