Any elliptic curve in Edwards form has a point of order 4.
This was important for the use of elliptic curves in cryptography.
To see this consider an elliptic curve over a field .
The case of elliptic curves was worked out by Hasse in 1934.
It should be clear that this relation is in the form of an elliptic curve (over the complex numbers).
Also, the group structure of elliptic curves is generally more complicated.
A particularly rich source for formal group laws are elliptic curves.
The protocol may be modified, for example, to use elliptic curves instead.
For each of the prime fields, one elliptic curve is recommended.
Finding rational points on a general elliptic curve is a difficult problem.
Słownik matematyczny