Shimura curves of genus at most two

In this article, we enumerate all Shimura curves X^D_0(N) of genus at most two.Comment: 18 pages; typo in table fixed, and errata include

Computing classical modular forms

We discuss practical and some theoretical aspects of computing a database of classical modular forms in the L-functions and Modular Forms Database (LMFDB).Comment: 62 pages; minor edit