Classical modular curve: Difference between revisions

Revision as of 08:56, 15 February 2009

Revision as of 23:53, 28 November 2009

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:<math>j_2(q) = q^{-1} - 24 + 276q -2048q^2 + 11202q^3 + \cdots = ((\eta(q)/\eta(q^2))^{24}</math>

is (up to the constant term) the [[Monstrous moonshine|McKay-ThompsonMcKay–Thompson series]] for the class 2B of the [[Monster group|Monster]], and &eta; is the [[Dedekind eta function]], then

:<math>x = \frac{(j_2+256)^3}{j_2^2}, y = \frac{(j_2+16)^3}{j_2}</math>