Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg

, Volume 73, Issue 1, pp 195-207

First online:

Ramification in the division fields of an elliptic curve

  • Masanari KidaAffiliated withDepartment of Mathematics, The University of Electro-Communications, Chofu Email author 

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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.