Deuring, Max
Die Typen der Multiplikatorenringe elliptischer Funktionenkörper.
Abh. Math. Sem. Hansischen Univ. 14, (1941). 197--272.

This number of point is reached by the curve

y^2=a*x^6+2*a*x^4+2*a*x^2+a, where "a" satisfies Minimal polynomial X^4+5*X^2+4*X+3 in F_7[X].