  Motivated by the structure of certain modules over the loop Virasoro Lie
conformal algebra and the Lie structures of Schrodinger-Virasoro algebras, we
construct a class of infinite rank Lie conformal algebras CSV (a, b), where a,
b are complex numbers. The conformal derivations of CSV (a, b) are uniformly
determined. The rank one conformal modules and Z-graded free intermediate
series modules over CSV (a, b) are classified. Corresponding results of the
conformal subalgebra CHV (a, b) of CSV (a, b) are also presented.
