\providecommand{\bysame}{\leavevmode\hbox to3em{\hrulefill}\thinspace} \providecommand{\MR}{\relax\ifhmode\unskip\space\fi MR } % \MRhref is called by the amsart/book/proc definition of \MR. \providecommand{\MRhref}[2]{% \href{http://www.ams.org/mathscinet-getitem?mr=#1}{#2} } \providecommand{\href}[2]{#2} \begin{thebibliography}{Maz78} \bibitem[Cre97]{cremona:algs} J.\thinspace{}E. Cremona, \emph{Algorithms for modular elliptic curves}, second ed., Cambridge University Press, Cambridge, 1997. \bibitem[Gro91]{gross:kolyvagin} B.\thinspace{}H. Gross, \emph{Kolyvagin's work on modular elliptic curves}, $L$-functions and arithmetic (Durham, 1989), Cambridge Univ. Press, Cambridge, 1991, pp.~235--256. \bibitem[GZ86]{gross-zagier} B.~Gross and D.~Zagier, \emph{Heegner points and derivatives of \protect{${L}$}-series}, Invent. Math. \textbf{84} (1986), no.~2, 225--320. \MR{87j:11057} \bibitem[Kol90]{kolyvagin:euler_systems} V.~A. Kolyvagin, \emph{Euler systems}, The Grothendieck Festschrift, Vol.\ II, Birkh\"auser Boston, Boston, MA, 1990, pp.~435--483. \MR{92g:11109} \bibitem[Maz78]{mazur:rational} B.~Mazur, \emph{Rational isogenies of prime degree (with an appendix by {D}. {G}oldfeld)}, Invent. Math. \textbf{44} (1978), no.~2, 129--162. \bibitem[Rub91]{rubin:main-conjectures} K.~Rubin, \emph{The ``main conjectures'' of {I}wasawa theory for imaginary quadratic fields}, Invent. Math. \textbf{103} (1991), no.~1, 25--68. \MR{92f:11151} \bibitem[Ser72]{serre:propgal} J-P. Serre, \emph{Propri\'et\'es galoisiennes des points d'ordre fini des courbes elliptiques}, Invent. Math. \textbf{15} (1972), no.~4, 259--331. \bibitem[Sil92]{silverman:aec} J.\thinspace{}H. Silverman, \emph{The arithmetic of elliptic curves}, Springer-Verlag, New York, 1992, Corrected reprint of the 1986 original. \end{thebibliography}