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The Field Generated by the Discriminant of the Class Invariants of an Imaginary Quadratic Field

Published online by Cambridge University Press:  20 November 2018

D. S. Dummit ,
R. Gold  and
H. Kisilevsky
D. S. Dummit
Affiliation:
Mathematics Department, Princeton University
R. Gold
Affiliation:
Mathematics Department Concordia, University Montreal, Quebec H3G 1M8
H. Kisilevsky
Affiliation:
Mathematics Department, Ohio State University Columbus, Ohio 43210
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Abstract

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This note determines the quadratic field generated by the square root of the discriminant of the modular equation satisfied by the special value j(α) of the modular function α for a an integer in an imaginary quadratic field.

Keywords

10D25
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 26 , Issue 3 , 01 September 1983 , pp. 280 - 282
Copyright
Copyright © Canadian Mathematical Society 1983

References

1. Iwasawa, K., “Class Fields“, in Seminar on Complex Multiplication, Borel, A., Chowla, S., Herz, C. S., Iwasawa, K., and Serre, J. P., Lecture Notes in Math., vol. 21 (1966), Springer-Verlag.Google Scholar
2. McKay, J., Dihedral Group D7 as Galois Group over Q, Abstracts of A.M.S. (1980) 80-T-A215.Google Scholar