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== Parametrization of the modular curve ==
When n = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 16, 18, or 25, X<sub>0</sub>(n) has [[geometric genus|genus]] zero, and hence can be parametrized[http://www.math.fsu.edu/~hoeij/files/X0N/Parametrization] by rational functions. The simplest nontrivial example is X<sub>0</sub>(2), where if
:<math>j_2(q) = q^{-1} - 24 + 276q -2048q^2 + 11202q^3 + \cdots = ((\eta(q)/\eta(q^2))^{24}</math>
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