TITLE: Where can I find a comprehensive list of equations for small genus modular curves?
QUESTION [25 upvotes]: Does there exist anywhere a comprehensive list of small genus modular curves $X_G$, for G a subgroup of GL(2,Z/(n))$? (say genus <= 2), together with equations? I'm particularly interested in genus one cases, and moreso in split/non-split cartan, with or without normalizers.
Ken Mcmurdy has a list here for $X_0(N)$, and Burcu Baran writes down equations for all  $X_{ns}^+(p)$ of genus <=2 in this preprint.

REPLY [2 votes]: For N <= 37, I computed a birational map from a simple equation to X0(N).
http://www.math.fsu.edu/~hoeij/files/X0N/Parametrization
None of the data in that file is novel, but I decided to recompute this data because I needed it in machine-readable form, and because, as pointed out in an earlier answer, these things are spread out over a number of papers.