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A Short Remark on Weierstrass Points at Infinity on X0(N)

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Abstract.

We point out that the formalism of the trace map and reduction modulo p can be used to give a short proof for the fact first proved by Ogg that ∞ is not a Weierstrass point on X0(pM) where p is a prime not dividing M and the genus of X0(M) is zero.

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  1. Universität Heidelberg, Germany

    Winfried Kohnen

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  1. Winfried Kohnen
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Kohnen, W. A Short Remark on Weierstrass Points at Infinity on X0(N). Monatsh. Math. 143, 163–167 (2004). https://doi.org/10.1007/s00605-003-0054-1

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  • DOI: https://doi.org/10.1007/s00605-003-0054-1

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