The L-functions and Modular Forms Database (LMFDB) was recently expanded to include a database containing tens of millions of modular curves that includes information about local obstructions, genus, gonality, analytic rank, morphisms, and the isogeny decomposition of their Jacobians, which are directly relevant to questions about rational (and low-degree) points on modular curves, as well as links to elliptic curves in the LMFDB that represent non-cuspidal points on these curves. I will give an overview of the construction of this database, the information it currently contains, and the information we would like it to contain in the future (including information about algebraic points).