Bibliographic Details
| Title: |
Torsion of rational elliptic curves over the [formula omitted]-extensions of quadratic fields. |
| Authors: |
Avcı, Ömer1 (AUTHOR) oavci@uottawa.ca |
| Source: |
Journal of Number Theory. Mar2026, Vol. 280, p153-170. 18p. |
| Subjects: |
Elliptic curves, Quadratic fields, Torsion theory (Algebra), Number theory, Mathematics |
| Abstract: |
Let E be an elliptic curve defined over Q. For a quadratic number field K and an odd prime number p , let L be a Z p -extension of K. We prove that E (L) tors = E (K) tors when p > 5. It enables us to classify the groups that can be realized as the torsion subgroup E (L) tors , by using the classification of torsion subgroups over the quadratic fields. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
