Preprint
Sep 2026
$D$-elliptic modular curves $X_0(N)$
We present a method for determining whether there exists a degree $D$ rational map from $X_0(N)$ to some elliptic curve $E/\mathbb{Q}$. Moreover, we explain how to obtain a quadratic form that represents all possible degrees of such maps using the degree pairing method. This method previously required odd analytic rank...
Maarten Derickx, Daeyeol Jeon, Yongjae Kwon et al.
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