Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

If I have a modular curve, how does one in general find a Hauptmodul for this curve?

share|cite|improve this question
3  
In general one does not, since (here I assume we are talking about congruence subgroups of $\operatorname{SL}_2(\mathbb{Z})$) there are only finitely many modular curves of genus zero. This finite list is known and Hauptmoduls have been written down, probably more than a century ago in most cases. Would you be satisfied by references to the literature, or is there more to your question than that? – Pete L. Clark Jun 30 '11 at 17:39
    
Yes I would definitely be satisfied by references. Thanks! – ADF Jun 30 '11 at 19:08

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.