This is a joint work with Jinbang Yang. We construct infinitely many abelian schemes of GL_2-type  on the projective line with bad reductions on given 4-punctures of type-(1/2)_\infty. The method relies on p-adic Hodge theory and Langlands correspondence over function field of characteristic p. Recently Lin-Sheng-Wang solved a conjecture by Sun-Yang-Zuo on torsionness of  zeros of Kodaira-Spencer maps of those type abelian schemes. Based on their solution of this conjecture we give a complete classification of those abelian schemes.