nonarchimedean

— For such v the endomorphism ring End(E(v)) of E(v) is an order in an imaginary quadratic field. We prove that for any pair of relatively prime positive integers N and M there are infinitely many nonarchimedean places v of K such that the discriminant #92;Delta(v) of End(E(v)) is divisible by N and the ratio #92;Delta(v)#47;N is relatively prime to NM.