Making use of the effective field theory expansion recently developed by th
e authors, we compute the electromagnetic form factors of the deuteron anal
ytically to next-to-leading order. The computation is rather simple, and in
volves calculating several Feynman diagrams, using dimensional regularizati
on. The results agree well with data and indicate that the expansion is con
verging. They do not suffer from any ambiguities arising from off-shell Ver
sus on-shell amplitudes. [S0556-2813(99)00502-6].