  In this paper, two new classes of Schr\"{o}dinger-Virasoro type Lie conformal
algebras TSV(a,b) and TSV(c) which are non-simple are introduced for some a, b,
c\in \mathbb{C}. Moreover, central extensions, conformal derivations and free
conformal modules of rank 1 of TSV(a,b) and TSV(c) are determined.

Quantum Algebra;Rings and Algebras