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### division_polynomial with integer coefficients?!

Hi, I would like to get a Division-polynomial for an elliptic curve. The curve ist E=EllipticCurve(CC,[-35/4,-49/4]) I used the commands E3 = E.change_ring(QQbar) p = E3.division_polynomial(3, two_torsion_multiplicity=0) and I obtained 3x^4 - 105/2x^2 - 147*x - 1225/16

Is there a way to get a division-polynomial which has integer coefficients and which is normalized?

 2 No.2 Revision vdelecroix 6887 ●16 ●75 ●147 http://www.labri.fr/pe...

### division_polynomial with integer coefficients?!

Hi, I would like to get a Division-polynomial for an elliptic curve. The curve ist is

E=EllipticCurve(CC,[-35/4,-49/4])


I used the commands commands

E3 = E.change_ring(QQbar)
p = E3.division_polynomial(3, two_torsion_multiplicity=0) two_torsion_multiplicity=0)


and I obtained 3x^4 obtained

3*x^4 - 105/2x^2 105/2*x^2 - 147*x - 1225/161225/16


Is there a way to get a division-polynomial which has integer coefficients and which is normalized?

 3 retagged FrédéricC 3497 ●3 ●34 ●68

### division_polynomial with integer coefficients?!

Hi, I would like to get a Division-polynomial for an elliptic curve. The curve is

E=EllipticCurve(CC,[-35/4,-49/4])


I used the commands

E3 = E.change_ring(QQbar)
p = E3.division_polynomial(3, two_torsion_multiplicity=0)


and I obtained

3*x^4 - 105/2*x^2 - 147*x - 1225/16


Is there a way to get a division-polynomial which has integer coefficients and which is normalized?