Example of a Curve with gcd(a3,a4) ¹ 1

E : y2 + xy = x3 + x2 -7x +5

P = (2,1,1)

Substitute y = y+1 and x = x+2 to get

E : y2 + xy +4y = x3 +7x2 +8x

P = (0,0,1)

gcd(a3,a4) = 4

Previous slide

Back to first slide

View graphic version