nt multiplications will be between 0 and n-1 where n is the <b>order</b>. The <b>order</b> multiplied by the <b>cofactor</b> gives the number of points on the curve.</p>

<p>EC_GROUP_get0_generator() returns the generator for the identified <b>group</b>.</p>

<p>EC_GROUP_get_order() retrieves the order of <b>group</b> and copies its value into <b>order</b>. It fails in case <b>group</b> is not fully initialized (i.e., its order is not set or set to zero).</p>

<p>EC_GROUP_get_cofactor() retrieves the cofact