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Macbeath's Curve and the Modular Group
Published online by Cambridge University Press: 18 May 2009
Extract
On p. 244 of Glasgow Math. J.27 (1985) on the right hand side of one of the 6 equations characterizing the 4 fixed points of the involution v a sign error has occurred.The relevant equation should read
y0y3y5y6=–1,
or the points would not lie on the curve.
Correcting the error unfortunately invalidates the model of an elliptic curve given in §6, which therefore has to be re-evaluated. First we find, in the notation of the paper,
2 f (x) = ((r + 1)/(R + 2))2.
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- Copyright © Glasgow Mathematical Journal Trust 1986