Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595486 | Journal of Number Theory | 2008 | 18 Pages |
Abstract
Let E be an elliptic curve over a number field K which admits a cyclic p-isogeny with p⩾3 and semistable at primes above p. We determine the root number and the parity of the p-Selmer rank for E/K, in particular confirming the parity conjecture for such curves. We prove the analogous results for p=2 under the additional assumption that E is not supersingular at primes above 2.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory