If there is a correspondence between two curves of curve genus and and the number of branch points properly counted are and , then
Zeuthen's Theorem
See also
Chasles-Cayley-Brill FormulaExplore with Wolfram|Alpha
References
Coolidge, J. L. A Treatise on Algebraic Plane Curves. New York: Dover, p. 246, 1959.Referenced on Wolfram|Alpha
Zeuthen's TheoremCite this as:
Weisstein, Eric W. "Zeuthen's Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ZeuthensTheorem.html