Their subsequently formulated conjecture relating the rank of an elliptic curve to the order of zero of an L-function was an influence on the development of number theory from the mid-1960s onwards.
2.
If you think about plugging in " the point at infinity " for z in the equation above and compare orders of zero, you see that g has a zero of order 8 at z = 0 . talk ) 13 : 32, 6 May 2010 ( UTC)