학술저널
GALOIS STRUCTURES OF DEFINING FIELDS OF FAMILIES OF ELLIPTIC CURVES WITH CYCLIC TORSION
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 27, No. 2
-
2014.05205 - 210 (6 pages)
- 2
The author with C. H. Kim and Y. Lee constructed in¯nite families of elliptic curves over cubic number ¯elds K with prescribed torsion groups which occur in¯nitely often. In this paper, we examine the Galois structures of such cubic number ¯elds K for the families of elliptic curves with cyclic torsion.
1. Introduction
2. Preliminaries
3. Galois structures of the de¯ning ¯eld of the constructed elliptic curves
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