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A universal formula for the j-invariant of the canonical lifting

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2015

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Journal Article

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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

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Mathematics

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Journal of Number Theory

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10.1016/j.jnt.2014.11.002

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https://doi.org/10.1016/j.jnt.2014.11.002
 https://hdl.handle.net/20.500.14288/10337

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