Back to Search
Start Over
RANK PARITY FOR CONGRUENT SUPERSINGULAR ELLIPTIC CURVES.
- Source :
- Proceedings of the American Mathematical Society; Sep2017, Vol. 145, p3775-3786, 12p
- Publication Year :
- 2017
-
Abstract
- A recent paper of Shekhar compares the ranks of elliptic curves E<subscript>1</subscript> and E<subscript>2</subscript> for which there is an isomorphism E<subscript>1</subscript>[p] ∼ E2[p]asGal(.../Q)- modules, where p is a prime of good ordinary reduction for both curves. In this paper we prove an analogous result in the case where p is a prime of good supersingular reduction. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 145
- Database :
- Complementary Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 123784406
- Full Text :
- https://doi.org/10.1090/proc/13545