EllipticCurves : Table of Contents
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EllipticCurves -- elliptic curves and a brute-force method for point counting
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bruteForceGroupOrder -- A brute-force method to count the points on an elliptic curve in characteristic different from 2.
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Discriminant -- A method to compute the discriminant of an elliptic curve.
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ellCurve -- A method for creating elliptic curves.
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ellCurveFromjInv -- A method to define an elliptic curve from a given j-invariant.
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EllipticCurve -- The class of elliptic curves in short Weierstrass form.
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EllPoint -- The class of points of elliptic curves in short Weierstrass form.
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ellPoint -- A method for defining point on an elliptic curve.
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EllPointW -- The class of points of elliptic curves in Weierstrass form.
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isElliptic -- A method to check if an ideal defines an elliptic curve.
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isOnEllCurve -- A method to check if a point is on an elliptic curve.
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jInvariant -- A method to compute the j-invariant of an elliptic curve.
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toShortWForm -- A method to trasform an elliptic curve from Weierstrass form to short Weierstrass form.
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toWeierstrass -- A method to transform a smooth plane cubic into Weierstrass form.
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