\begin{thebibliography}{10}

\bibitem{GP}
C.~Batut, K.~Belabas, D.~Bernardi, H.~Cohen, and M.~Olivier.
\newblock The pari system.
\newblock {\em ftp://megrez.math.u-bordeaux.fr/pub/pari/}, 2000.

\bibitem{BR}
Andrew Bremner.
\newblock On arithmetic progressions on elliptic curves.
\newblock {\em Experiment. Math.}, 8:409 -- 413, 1999.

\bibitem{BU}
J.~P. Buhler, B.~H. Gross, and D.~B. Zagier.
\newblock On the conjecture of {Birch} and {Swinnerton-Dyer} for an elliptic
  curve of rank 3.
\newblock {\em Math. Comp.}, 44:473 -- 481, 1985.

\bibitem{CA1}
Garikai Campbell.
\newblock {\em Finding elliptic curves and infinite families of elliptic curves
  defined over ${Q}$ of large rank}.
\newblock PhD thesis, Rutgers University,
  http://math.swarthmore.edu/kai/thesis.html, June 1999.

\bibitem{CR}
John Cremona.
\newblock Home page.
\newblock {\em http://www.maths.nottingham.ac.uk/personal/jec/ftp/progs/}.

\bibitem{FE}
Stefane F{\'{e}}rmigier.
\newblock Un exemple de courbe elliptique d{\'{e}}finie sur ${Q}$ de rang $\geq
  19$.
\newblock {\em C. R. Acad. Sci. Paris}, 315, S{\'{e}}rie I:719 -- 722, 1992.

\bibitem{KI1}
Shoichi Kihara.
\newblock On an infinite family of elliptic curves with rank $\geq 14$ over
  ${Q}$.
\newblock {\em Proc. Japan Acad. Ser. A.}, 73:32, 1997.

\bibitem{KU}
L.~Kulesz.
\newblock {\em {Arithm\'etique} des courbes {alg\'ebriques} de genre au moins
  deux}.
\newblock PhD thesis, {Universit\'e} Paris 7, 1998.

\bibitem{ME1}
Jean-Fran{\c{c}}ois Mestre.
\newblock Construction d'une courbe elliptique de rang $\geq 12$.
\newblock {\em C. R. Acad. Sci. Paris}, 295, S{\'{e}}rie I:643 -- 644, 1982.

\bibitem{ME2}
Jean-Fran{\c{c}}ois Mestre.
\newblock Courbes elliptiques de rang $\geq 11$ sur ${Q}(t)$.
\newblock {\em C. R. Acad. Sci. Paris}, 313, S{\'{e}}rie I:139 -- 142, 1991.

\bibitem{NA1}
Koh-Ichi Nagao.
\newblock Examples of elliptic curves over ${Q}$ with rank $\geq 17$.
\newblock {\em Proc. Japan Acad. Ser. A.}, 68:287 -- 289, 1997.

\end{thebibliography}
