Course Catalog
| MATH 543 Elliptic Curves | 3 Credits | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 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. | |||||||||||||
|
|||||||||||||
| Prerequisite: __ | |||||||||||||
| Corequisite: __ | |||||||||||||
| ECTS Credit: 10 ECTS (10 ECTS for students admitted before 2013-14 Academic Year) | |||||||||||||
| General Requirements: | |||||||||||||