Using Hecke characters, we construct two infinite families of newforms with complex multiplication, one by Q( √ −3) and the other by Q( √ −2). The values of the p-th Fourier coefficients of all the forms in each family can be described by a single formula, which we provide explicitly. This allows us to establish a formula relating the p-th Fourier coefficients of forms of different weights, within each family. We then prove congruence relations between the p-th Fourier coefficients of these newforms at all odd weights and values coming from two of Zagier's sporadic Apéry-like sequences.