Rational Points on Modular Elliptic Curves

@inproceedings{DarmonRationalPO,
  title={Rational Points on Modular Elliptic Curves},
  author={Henri Darmon}
}
Based on an NSF-CBMS lecture series given by the author at the University of Central Florida in Orlando from August 8 to 12, 2001, this monograph surveys some recent developments in the arithmetic of modular elliptic curves, with special emphasis on the Birch and Swinnerton-Dyer conjecture, the construction of rational points on modular elliptic curves, and the crucial role played by modularity in shedding light on these questions. 
Highly Influential
This paper has highly influenced 22 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 95 references

Algorithm for determining the type of a singular fiber in an elliptic pencil

J. Tate
Modular functions of one variable, IV (Proc. Internat. Summer School, Univ. Antwerp, Antwerp, 1972), 33–52. Lecture Notes in Math. 476, Springer, Berlin • 1975
View 13 Excerpts
Highly Influenced

Elliptic Curves

View 4 Excerpts
Highly Influenced

Algorithms for modular elliptic curves

J. E. Cremona
Second edition. Cambridge University Press, Cambridge • 1997
View 3 Excerpts
Highly Influenced

Arithmétique des algèbres de quaternions

M.-F. Vignéras
Lecture Notes in Mathematics 800. Springer, Berlin • 1980
View 3 Excerpts
Highly Influenced

Similar Papers

Loading similar papers…