Modularity of a family of elliptic curves, by Fred Diamond, Kenneth Kramer

This paper has appeared in Math. Res. Lett. 2 (1995), no. 3, 299-304, and so the dvi version has been removed. Consider elliptic curves of the form y^2 = (x-a)(x-b)(x-c) where a, b and c are distinct rational numbers. We verify that such curves are modular as a consequence of the results of Wiles.

Fred Diamond, Kenneth Kramer <f.diamond@pmms.cam.ac.uk, kramer@qcvaxa.acc.qc.edu>