Average values of S(B) and their corresponding 90% confidence intervals

<p>The animation displays the average values of S(B) for B &lt; 10^6 along with their corresponding 90% confidence intervals,&nbsp;<br>for elliptic curves with ranks 0 or 1 in the conductor range [N,N+10\sqrt(n)]. The cross indicates the location of the local maximum,&nbsp;<br>while circles represent predictions for the first three local maxima at 0.08N, 0.65N, and 1.7N.</p>