Notes on Weierstrass points of modular curves $X_0(N)$

preprint2015arXivOpen access

We give conditions when the fixed points by the partial Atkin-Lehner involutions on $X_0(N)$ are Weierstrass points as an extension of the result by Lehner and Newman \cite{LN}. Furthermore, we complete their result by determining whether the fixed points by the full Atkin-Lehner involutions on $X_0(N)$ are Weierstrass points or not.

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Notes on Weierstrass points of modular curves $X_0(N)$

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Notes on Weierstrass points of modular curves X0(N)X_0(N)X0​(N)

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Notes on Weierstrass points of modular curves $X_0(N)$