Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593586 | Journal of Number Theory | 2015 | 15 Pages |
Abstract
We study the j-invariant of the canonical lifting of an elliptic curve as a Witt vector. We prove that its Witt coordinates lie in an open affine subset of the j-line and deduce the existence of a universal formula for the j-invariant of the canonical lifting. The canonical lifting of the elliptic curves with j-invariant 0 and 1728 over any characteristic is also explicitly found.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Altan ErdoÄan,