Abstract
For a prime p, let p denote a fixed primitive pth root of unity. Let E be an elliptic curve over a number field k with a p-torsion point. Then the p-torsion subgroup of E gives a Kummer extension over k(p). In this paper, for p = 5 and 7, we study the ramification of such Kummer extensions using explicit Kummer generators directly computed by Verdure in 2006.
Original language | English |
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Pages (from-to) | 1725-1734 |
Number of pages | 10 |
Journal | International Journal of Number Theory |
Volume | 11 |
Issue number | 6 |
DOIs | |
Publication status | Published - Jan 1 2015 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory