타원 모듈라 j-함수의 singular moduli

\( j(\sqrt{-1})=1728=12^3\)

\(j(\frac {-1+\sqrt{-3}}{2})=0\)

\(j(\frac {-1+\sqrt{-7}}{2})=-3375=-15^3\)

\( j(\sqrt{-2})=8000=20^3\)

\(j(\frac {-1+\sqrt{-11}}{2})=-32768=-32^3\)

\(j(\frac {-1+\sqrt{-19}}{2})=-884736=-96^3\)

\(j(\frac {-1+\sqrt{-43}} {2})=-884736000=-960^3\)

\(j(\frac {-1+\sqrt{-67}} {2})=-147197952000=-5280^3\)

\( j(\frac {-1+\sqrt{-163}} {2})=-262537412640768000=-640320^3\)

\( j(\sqrt{-3})=54000=2(30)^3\)

\( j(\sqrt{-4})=287496=(66)^3\)

\( j(\sqrt{-7})=16581375=(255)^3\)

\(j(\frac {-1+3\sqrt{-3}}{2})=-12288000=-3(160)^3\)

\( j(\sqrt{-5})=632000+282880 \sqrt{5}=(50+26\sqrt{5})^3\)

\(j(\frac {-1+\sqrt{-5}}{2})=632000-282880 \sqrt{5}=(50-26\sqrt{5})^3\)

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