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राष्ट्रीय विज्ञान शिक्षा एवंअनुसंधान संस्थान
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  2. M561 - Elliptic Curves

M561 - Elliptic Curves

By admin_sms on Thu, 17/07/2014 - 14:47
Course No
M561
Credit
4
Approval
2014
UG-Elective
Syllabus
Congruent numbers, Elliptic curves, Elliptic curves in Weierstrass form, Addition law, Mordell–Weil Theorem, Points of finite order, Points over finite fields, Hasse-Weil L-function and its functional equation, Complex multiplication.
Reference Books
  1. J. H. Silverman, J. Tate, “Rational Points on Elliptic Curves”, Undergraduate Texts in Mathematics, Springer-Verlag, 1992.
  2. N. Koblitz, “Introduction to Elliptic Curves and Modular Forms”, Graduate Texts in Mathematics 97, Springer-Verlag, 1993.
  3. J. H. Silverman, “The Arithmetic of Elliptic Curves”, Graduate Texts in Mathematics 106, Springer, 2009.
  4. A. W. Knapp, “Elliptic Curves”, Mathematical Notes 40, Princeton University Press, 1992.
  5. J. H. Silverman, “Advanced Topics in the Arithmetic of Elliptic Curves”, Graduate Texts in Mathematics 151, Springer-Verlag, 1994

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