Ramification in the division fields of an elliptic curve
We study the ramification in the division fields of an elliptic curve. Applications on the class number of quadratic fields and on elliptic curves with prime power conductor are given.
- B. J. Birch andW. Kuyk (eds.),Modular functions of one variable. IV. Lecture Notes in Mathematics476, Springer-Verlag, Berlin, 1975.Google Scholar
- B. Conrad, The flat deformation functor. In:Modular forms and Fermat’s last theorem (Boston, MA, 1995), Springer, New York, 1997, pp. 373–420.Google Scholar
- F. Ramaroson,Elliptic curves with conductor a square of a prime. Ph.D. thesis, The Johns Hopkins University, Baltimore, Maryland, 1980.Google Scholar
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