Birch's paper
“Noncongruence subgroups, covers, and drawings”
(pages 25–46 of The Grothendieck Theory of Dessins d'Enfants
(Leila Schneps, ed.), LMS Lecture Notes Series #200) appeared in 1994,
though John Voight notes a hint of it as early as a 1971 paper
“Modular forms on noncongruence subgroups”
by Atkin and Swinnerton-Dyer, pages 1–25 in
Combinatorics
(Proc. Sympos. Pure Math.) 19, bottom of p.6:
“Also the number of unknowns c can be cut in half
at once by observing that
dj / dζ
has factors
F32 · F2.”