MATH529 ELLIPTIC CURVES
| Course Code: |
2360529 |
| METU Credit (Theoretical-Laboratory hours/week): |
3(3-0) |
| ECTS Credit: |
8.0 |
| Department: |
Mathematics |
| Language of Instruction: |
English |
| Level of Study: |
Graduate |
| Course Coordinator: |
Prof.Dr. ÖMER KÜÇÜKSAKALLI |
| Offered Semester: |
Fall and Spring Semesters. |
Course Content
The group law and Weierstrass equation. Isogenies. Torsion points and division polynomials. Elliptic curve over finite fields. Determining the group order. Schoof's algorithm. Elliptic curve primality proving. Elliptic curves over rational numbers. Mordell-Weil Theorem. Elliptic Curves over complex numbers. Complex multiplication. Integrality of j-invariants. Fermat's last theorem.
