Rational Points on Modular Elliptic Curves

  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. 
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