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Macbeath's Curve and the Modular Group

Published online by Cambridge University Press:  18 May 2009

K. Wohlfahrt
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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.

Type
Corrigendum
Information
Glasgow Mathematical Journal , Volume 28 , Issue 2 , July 1986 , pp. 241
Copyright
Copyright © Glasgow Mathematical Journal Trust 1986