Higher weierstrass points on X0(p)

Scott Ahlgren, Matthew Papanikolas

Research output: Contribution to journalArticlepeer-review


We study the arithmetic properties of higher Weierstrass points on modular curves X0(p) for primes p. In particular, for r ε {2, 3, 4, 5}, we obtain a relationship between the reductions modulo p of the collection of r-Weierstrass points on Xd(p) and the superaingular locus in characteristic p.

Original languageEnglish (US)
Pages (from-to)1521-1535
Number of pages15
JournalTransactions of the American Mathematical Society
Issue number4
StatePublished - Apr 2003


  • Modular curves
  • Weierstrass points

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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