The Tate elliptic curve product formula for the algebraic intermediate Jacobian
Let X=E1×E2×E3X=E_1\times E_2\times E_3X=E1×E2×E3 be a product of three Tate elliptic curves with parameters qiq_iqi for i=1,2,3i=1,2,3i=1,2,3. Let rrr be the rank of the space of integer triples (n1,n2,n3)(n_1,n_2,n_3)(n1,n2,n3)…