\newcommand{\etalchar}[1]{$^{#1}$}
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\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}
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\providecommand{\href}[2]{#2}
\begin{thebibliography}{BCDT01}

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C.~Breuil, B.~Conrad, F.~Diamond, and R.~Taylor, \emph{On the modularity of
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H.~Cohen, \emph{Number theory {I}{I}: Analytic and modern methods}, Graduate
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C.~Cornut, \emph{Non-trivialit\'e des points de {H}eegner}, C. R. Math. Acad.
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J.~E. Cremona, M.~Prickett, and Samir Siksek, \emph{Height difference bounds
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J.\thinspace{}E. Cremona, \emph{Tables of {E}lliptic {C}urves,\hfill\\ {\tt
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C.~Delauney, \emph{Formes modulaires et invariants de courbes elliptiques
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T.~Dokchitser, \emph{Computing special values of motivic {$L$}-functions},
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K.~Eisentraeger, D.~Jetchev, and K.~Lauter, \emph{On the computation of the
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N.\thinspace{}D. Elkies, \emph{Heegner point computations}, Algorithmic number
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G.~Grigorov, A.~Jorza, S.~Patrikis, C.~Patrascu, and W.~Stein,
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H.~Iwaniec and E.~Kowalski, \emph{Analytic {N}umber {T}heory}, vol.~53,
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D.~Jetchev, \emph{Asymptotic heights of {H}eegner points over ring class
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\bibitem[Jet07]{jetchev:tamagawa}
\bysame, \emph{Global divisibility of {H}eegner points and {T}amagawa numbers},
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\bibitem[Kol90]{kolyvagin:euler_systems}
V.~A. Kolyvagin, \emph{Euler systems}, The Grothendieck Festschrift, Vol.\ II,
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V.\thinspace{}A. Kolyvagin, \emph{On the {M}ordell-{W}eil group and the
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\bysame, \emph{On the structure of {S}hafarevich-{T}ate groups}, Algebraic
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W.\thinspace{}G. McCallum, \emph{Kolyvagin's work on {S}hafarevich-{T}ate
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  Cambridge, 1991, pp.~295--316.

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\bysame, \emph{The subconvexity problem for {R}ankin-{S}elberg {$L$}-functions
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\bibitem[Mil86]{milne:duality}
J.\thinspace{}S. Milne, \emph{Arithmetic duality theorems}, Academic Press
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\bibitem[MM97]{murty-murty}
M.\thinspace{}R. Murty and V.\thinspace{}K. Murty, \emph{Non-vanishing of
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Jan Nekov{\'a}{\v{r}}, \emph{On the parity of ranks of {S}elmer groups. {II}},
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G.~Ricotta and T.~Vidick, \emph{Hauteurs asymptotique des points de {H}eegner},
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J.-P. Serre, \emph{Facteurs locaux des fonctions z\^eta des vari\'et\'es
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\bibitem[Sil92]{silverman:aec}
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\bibitem[Sil94]{silverman:aec2}
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\bibitem[Wat04]{watkins:heegner}
Mark Watkins, \emph{Some remarks on {H}eegner point computations}, Preprint,
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S.~W. Zhang, \emph{Gross-{Z}agier formula for $\textrm{GL}_2$}, Asian J. Math.
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\end{thebibliography}