Course Catalog
MATH 543 Elliptic Curves | 3 Credits | ||||||||||||
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Weierstrass equations, group law, isogenies, Tate module, Weil pairing, endomorphism ring. Zeta function of an elliptic curve, Weil conjectures. Uniformization theorem. Elliptic curves over local fields. Mordell-Weil theorem. Siegel's theorem. Modular curves and L-series. | |||||||||||||
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Prerequisite: __ | |||||||||||||
Corequisite: __ | |||||||||||||
ECTS Credit: 10 ECTS (10 ECTS for students admitted before 2013-14 Academic Year) | |||||||||||||
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