Rational points on elliptic curves by John Tate, Joseph H. Silverman

Rational points on elliptic curves



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Rational points on elliptic curves John Tate, Joseph H. Silverman ebook
ISBN: 3540978259, 9783540978251
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Page: 296
Format: djvu


From the formula for doubling a point we get that. The two groups G_1 and G_2 correspond to subgroups of K -rational points E(K) of an elliptic curve E over a finite field K with characteristic q different from p . Here's what this looks like: Image001. Points on elliptic curves over Q which are not [0:1:0] have their last coordinate =1 but sometimes this is an int (not even an Integer) which breaks some code: sage: E=EllipticCurve('37a1') sage: [type(c) for c in E(0)] [