Publication: A universal formula for the j-invariant of the canonical lifting
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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. (C) 2015 Elsevier Inc. All rights reserved.
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Elsevier
Subject
Mathematics
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Source
Journal of Number Theory
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DOI
10.1016/j.jnt.2014.11.002