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Bibliography

AS
Amod Agashe and William A. Stein.
Appendix to Joan-C. Lario and Ren'e Schoof: Some computations with Hecke rings and deformation rings.
submitted.

CM00
J. E. Cremona and Barry Mazur.
Visualizing elements in the Shafarevich-Tate group.
Experiment. Math., 9(1):13--28, 2000.

CO77
Henri Cohen and J. Oesterl'e.
Dimensions des espaces de formes modulaires.
pages 69--78. Lecture Notes in Math., Vol. 627, 1977.

Cre92
J. E. Cremona.
Modular symbols for (Gamma)_1((N)) and elliptic curves with everywhere good reduction.
Math. Proc. Cambridge Philos. Soc., 111(2):199--218, 1992.

Cre97
J. E. Cremona.
Algorithms for modular elliptic curves.
Cambridge University Press, Cambridge, second edition, 1997.

DI95
Fred Diamond and Ju Im.
Modular forms and modular curves.
In Seminar on Fermat's Last Theorem, pages 39--133. Providence, RI, 1995.

FLSetalchar+02
E.thinspaceV. Flynn, F. Lepr'evost, E.thinspaceF. Schaefer, W.thinspaceA. Stein, M. Stoll, and J.thinspaceL. Wetherell.
Empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves.
to appear in Math. of Comp., 2002.

FM99
Gerhard Frey and Michael Muller.
Arithmetic of modular curves and applications.
In Algorithmic algebra and number theory (Heidelberg, 1997), pages 11--48. Springer, Berlin, 1999.

KS00
David R. Kohel and William A. Stein.
Component Groups of Quotients of J_0(N).
In Proceedings of the 4th International Symposium (ANTS-IV), Leiden, Netherlands, July 2--7, 2000, Berlin, 2000. Springer.

Maz77
Barry Mazur.
Modular curves and the Eisenstein ideal.
Inst. Hautes 'Etudes Sci. Publ. Math., (47):33--186 (1978), 1977.

Mer93
Loic Merel.
Intersections sur des courbes modulaires.
Manuscripta Math., 80(3):283--289, 1993.

Mer94
Loic Merel.
Universal Fourier expansions of modular forms.
In On Artin's conjecture for odd 2-dimensional representations, pages 59--94. Springer, 1994.

Mes86
Jean-Francois Mestre.
La m'ethode des graphes. Exemples et applications.
Proceedings of the international conference on class numbers and fundamental units of algebraic number fields (Katata), pages 217--242, 1986.

PS99
Bjorn Poonen and Michael Stoll.
The Cassels-Tate pairing on polarized abelian varieties.
Ann. of Math. (2), 150(3):1109--1149, 1999.

Ste00
William A. Stein.
Explicit approaches to modular abelian varieties.
Ph.D. thesis, University of California, Berkeley, 2000.

Ste01
William A. Stein.
Component Groups of Purely Toric Quotients of Semistable Jacobians.
submitted, 2001.

Ste02
William A. Stein.
An introduction to computing modular forms using modular symbols.
will appear in an MSRI Proceedings, 2002.

Stu87
Jacob Sturm.
On the congruence of modular forms.
In Number theory (New York, 1984--1985), pages 275--280. Springer, Berlin, 1987.

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