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arxiv: 0808.3038 · v2 · pith:NQFN6N6Lnew · submitted 2008-08-22 · 🧮 math.AG · cs.SC

Tschirnhaus-Weierstrass curves

classification 🧮 math.AG cs.SC
keywords curvetschirnhaus-weierstrasscurvesformcomputingconceptdefineelliptic
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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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