# SafeCurves verification script

The SafeCurves project provides a Sage script to verify the SafeCurves criteria for given curves, https://safecurves.cr.yp.to/verify.html

According to the description, the script works simply as:

\$ sage verify.sage curves/nistp256/, where curves/nistp256/ is a folder containing the following files:

p: the field prime, in decimal.
l: the prime order of the base point, in decimal.
x1: the x-coordinate of the base point.
y1: the y-coordinate of the base point.
x0: the x-coordinate of a point generating the entire curve.
y0: the y-coordinate of a point generating the entire curve.
shape: the curve shape, either shortw or montgomery or edwards.
a and b, if the curve shape is shortw: the coefficients in the short Weierstrass equation.
A and B, if the curve shape is montgomery: the coefficients in the Montgomery equation.
d, if the curve shape is edwards: the coefficient in the Edwards equation.
primes: all prime divisors of of p, the curve order p+1-t, the twist order p+1+t, and t^2-4p; and, recursively, all prime divisors of q-1 for each q in the list.


Unfortunately all these files are not provided and this is really a pity after so much work.

Questions:

1. Does anybody know where to find all such missing files? can anyone provide an example for one curve?
2. Why a base point (x1,y1) and a point generating the entire curve (x0,y0) must be specified?
3. How do I find a point (x0,y0) generating the entire curve for a given curve?
4. What is q?
5. What does it mean "for each q in the list", which list?

Thank you for any hints.