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Reference.org
Division polynomials
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, the division polynomials provide a way to calculate multiples of points on <a href="/facts/Elliptic_curves/60jvaHSA">elliptic curves</a> and to study the fields generated by torsion points. They play a central role in the study of <a href="/facts/Counting_points_on_elliptic_curves/XDPPW8nG">counting points on elliptic curves</a> in <a href="/facts/Schoof%2527s_algorithm/0JIRl1pP">Schoof's algorithm</a>. </p>