Monatshefte für Mathematik

, Volume 143, Issue 2, pp 163–167

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

  • Winfried Kohnen
Article

DOI: 10.1007/s00605-003-0054-1

Cite this article as:
Kohnen, W. Monatsh. Math. (2004) 143: 163. doi:10.1007/s00605-003-0054-1

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.

2000 Mathematics Subject Classification: 11F, 11G 
Key words: Weierstrass point, modular curve, modular form 
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Copyright information

© Springer-Verlag/Wien 2003

Authors and Affiliations

  • Winfried Kohnen
    • 1
  1. 1.Universität HeidelbergGermany

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