  In this article, we construct algebraic equations for a curve C and a map f
to an elliptic curve E, with pre-specified branching data. We do this by
determining certain relations that the periods of C and E must satisfy and use
these relations to approximate the coefficients to high precision. We then
conjecture which algebraic numbers the coefficients are, and then we prove this
conjecture to be correct.

Number Theory;Algebraic Geometry