## Solve by modulo in Maxima

Hey all! Searched for the solution all over the net but no results as for now :\
Problem: Need to solve the equation $y^2=x^3-5*x+3$ by modulo 11 using Maxima with particular x (later there will be loop for random x's).
Code i use to do this:
modulus:11
solve(y^2=x^3-5*x+3,y), x=0
So, what i get is $y= +- sqrt(3)$ and that isn't right. It's like Maxima didn't notice modulo at all. Any ideas?