  We investigate the first-order system `$s\,' = c^3, \, c\,' = - s^3; \, s(0)
= 0, \, c(0) = 1$'. Its solutions have the property that $s \, c$, $s^2$ and
$c^2$ extend to simply-poled elliptic functions, which we explicitly identify
in terms of the lemniscatic Weierstrass $\wp$ function.
