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arXiv · 1211.1152

A Universal Formula for the j-Invariant of the Canonical Lifting

Altan Erdoğan
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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 are also explicitly found.

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Altan Erdoğan. 2013-04-08. A Universal Formula for the j-Invariant of the Canonical Lifting. https://arxiv.org/abs/1211.1152

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