Néron differential explained

In mathematics, a Néron differential, named after André Néron, is an almost canonical choice of 1-form on an elliptic curve or abelian variety defined over a local field or global field. The Néron differential behaves well on the Néron minimal models.

For an elliptic curve of the form

y ^{2+ a} _{1 xy + a} ^{2+ a} ^{4 x + a} _{6} the Néron differential is(dx)/(2 y + a _{1x+a} _{3})