OpenGL: glDrawElements does not draw

I am testing Vertex Arrays stuff, but for some reason the glDrawElements command does not draw anything for me. I can draw using glBegin / glEnd and glDrawElements between them, but glDrawElements does not work. Here's the code snippet:

These arrays are set in the constructor:

double points[100];
GLint indices[50];

for (int i=0; i < 50; i++){
    points[2*i] = radius * cos(i*2*PI/50);
    points[2*i + 1] = radius * sin(i*2*PI/50);
    indices[i] = i;
}

Working code using only an array of points with glArrayElement:

void GLCircle::draw()
{
    glEnableClientState(GL_VERTEX_ARRAY);
    glVertexPointer(2, GL_DOUBLE, 0, points);

    glBegin(GL_POLYGON);
    for (int i=0; i < 50; i++){
        glArrayElement(i);
    }
    glEnd();
}

Also working code using an array of points, specific indices available through an array of indices:

void GLCircle::draw()
{
    glEnableClientState(GL_VERTEX_ARRAY);
    glVertexPointer(2, GL_DOUBLE, 0, points);

    glBegin(GL_POLYGON);
    for (int i=0; i < 50; i++){
        glArrayElement(indices[i]);
    }
    glEnd();
}

Broken code trying to use glDrawElements:

void GLCircle::draw()
{
    glEnableClientState(GL_VERTEX_ARRAY);
    glVertexPointer(2, GL_DOUBLE, 0, points);

    glDrawElements(GL_POLYGON, 4, GL_INT, indices);
}

Any tips? For me it is not necessary to use it at this moment, but it worries that it does not work ...