This paper studies rational pseudo-holomorphic curves in the symplectizations of 3-dimensional lens spaces, whose contact forms are induced by the standard Morse-Bott contact form on \(S^3\). The paper provides an elementary computational scheme for the moduli spaces of these rational pseudo-holomorphic curves. As an application, the author proves that, for \(p\) prime and \(1< q\), \(q' < p-1\), if there is a contactomorphism between the lens spaces \(L(p,q)\) and \(L(p,q')\), both equipped with their standard contact structures, then \(q\equiv (q')^{\pm1}\pmod p\). Combining with the result of K. Honda [Geom. Topol. 4, 309–368 (2000; Zbl 0980.57010)] on the classification of universally tight contact structures on lens spaces, the author provides a purely symplectic/contact topological proof of the diffeomorphism classification of lens spaces in the class mentioned above.