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 (ENGINEERING: / BASIC:) | ||||||||||||||||
| General Requirements: | ||||||||||||||||