The bias conjecture for second moments of elliptic-curve families
Let Fk\mathcal{F}_kFk be a one-parameter family of elliptic curves over Q(T)\mathbf{Q}(T)Q(T). Write the second moment as M2,p(Fk)=∑i=04fi(p)M_{2,p}(\mathcal{F}_k)=\sum_{i=0}^{4}f_i(p)M2,p(Fk)=∑i=04fi(p), where the lower ord…