Explicit valuation of elliptic nets for elliptic curves with complex multiplication

Edison H L Au-Yeung

Division polynomials associated to an elliptic curve $E/K$ are polynomials ${\varphi }_n,{\psi }_n^2$ that arise from the sequence of points $\{nP{\}}_{n\in \mathbb{N}}$ on this curve. If one wishes to s…