Singular Moduli, Modular Polynomials, and the Index of the Closure of Z [j (...)] in Q (j(...)).
Mathematische Annalen, Tome 283 (1989) no. 1, pp. 177-192.

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Keywords: elliptic modular function, modular polynomial
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     author = {David R. Dorman},
     title = {Singular {Moduli,} {Modular} {Polynomials,} and the {Index} of the {Closure} of {Z} [j (...)] in {Q} (j(...)).},
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David R. Dorman. Singular Moduli, Modular Polynomials, and the Index of the Closure of Z [j (...)] in Q (j(...)).. Mathematische Annalen, Tome 283 (1989) no. 1, pp. 177-192. http://geodesic.mathdoc.fr/item/MAN_1989__283_1_164502/