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\begin{thebibliography}{BSDGP96}

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Daniel Bertrand, \emph{Valuers de fonctions th{\^e}ta et hauteur
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John~E. Cremona, \emph{Algorithms for modular elliptic curves}, second ed.,
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Grigor~Tsankov Grigorov, \emph{Kato's {Euler} {System} and the {Main}
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John~W. Jones, \emph{Iwasawa {$L$}-functions for multiplicative abelian
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Kazuya Kato, \emph{{$p$}-adic {Hodge} theory and values of zeta functions of
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Kazuya Kato, Masato Kurihara, and Takeshi Tsuji, \emph{Local {Iwasawa} theory
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Shin-ichi Kobayashi, \emph{Iwasawa theory for elliptic curves at supersingular
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\bysame, \emph{An elementary proof of the {Mazur}-{Tate}-{Teitelbaum}
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Masato Kurihara and Robert Pollack, \emph{Two $p$-aidc {$L$}-functions and
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Ju.~I. Manin, \emph{Parabolic points and zeta functions of modular curves},
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Barry Mazur and Peter Swinnerton-Dyer, \emph{Arithmetic of {W}eil curves},
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\bibitem[MSJ05]{mst}
Barry Mazur, William Stein, and Tate John, \emph{Computation of $p$-adic
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Barry Mazur and John Tate, \emph{The $p$-adic sigma function}, Duke Math. J.
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\bibitem[MTT86]{mtt}
Barry Mazur, John Tate, and J.~Teitelbaum, \emph{On {$p$}-adic analogues of the
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\bibitem[PR82]{pr82}
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\bibitem[PR87]{prheegner}
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\bibitem[PR93]{prfourier93}
\bysame, \emph{Fonctions {$L$} {$p$}-adiques d'une courbe elliptique et points
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  945--995.

\bibitem[PR94]{prcol}
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Peter Schneider, \emph{{$p$}-adic height pairings. {I}}, Invent. Math.
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\bibitem[Ser72]{serregl2}
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\bibitem[Sil94]{sil2}
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\bibitem[SS04]{stoll}
Edward~F. Schaefer and Michael Stoll, \emph{How to do a {$p$}-descent on an
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\bibitem[Wer98]{werner}
Annette Werner, \emph{Local heights on abelian varieties and rigid analytic
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\bibitem[Wut04]{wuth04}
Christian Wuthrich, \emph{On {$p$}-adic heights in families of elliptic
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\bibitem[Wut06]{wuthkato}
\bysame, \emph{Extending {Kato's} results to elliptic curves with
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\bibitem[Wut07]{wuthfine}
\bysame, \emph{Iwasawa theory of the fine {Selmer} group}, J. Algebraic Geom.
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\end{thebibliography}
