Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772539 | Journal of Number Theory | 2017 | 22 Pages |
Abstract
Given two elliptic curves E1 and E2 defined over the field of rational numbers, Q, with good reduction at an odd prime p and equivalent mod p Galois representation, we compare the p-Selmer rank, global and local root numbers of E1 and E2 over number fields.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Suman Ahmed, Chandrakant Aribam, Sudhanshu Shekhar,