E1 := EllipticCurveWithjInvariant(1792); Factorization(DivisionPolynomial(E1,4) div DivisionPolynomial(E1,2)); //This show that E1 corresponds to a single point on X_0(4) which has degree 6. K:=Subfields(CyclotomicField(7),3)[1,1]; //K is the field over which E1 attains full 2-torsion. E:=ChangeRing(E1,K); E2:=IsogenyFromKernel(E,Factorization(DivisionPolynomial(E,2))[1,1]); //E2 is an elliptic curve which is 2-isogenous to E over K. f2:=DivisionPolynomial(E2,2); f4:=DivisionPolynomial(E2,4); h4:=f4 div f2; f3:=DivisionPolynomial(E2,3); f6:=DivisionPolynomial(E2,6); h6:=f6 div (f2*f3); f12:=DivisionPolynomial(E2,12); h12:=f12 div (h6*h4*f3*f2); Factorization(h12); //Any point on X_1(12) associated to E2 will have even degree. Similarly, we find the same is true for any other elliptic curve 2-isogenous to E.