Tschirnhaus-Weierstrass curves

Published 22 Aug 2008 in math.AG and cs.SC | (0808.3038v2)

Abstract: We define the concept of Tschirnhaus-Weierstrass curve, named after the Weierstrass form of an elliptic curve and Tschirnhaus transformations. Every pointed curve has a Tschirnhaus-Weierstrass form, and this representation is unique up to a scaling of variables. This is useful for computing isomorphisms between curves.

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