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arxiv: 1509.03400 · v1 · pith:5U32VLQHnew · submitted 2015-09-11 · 🧮 math.NT

Notes on Weierstrass points of modular curves X₀(N)

classification 🧮 math.NT
keywords pointsweierstrassatkin-lehnerfixedinvolutionsresultcitecomplete
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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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