# why division_polynomial results different with WIKI defines

```
E = EllipticCurve(QQ,[0,0,1,-1,1]);E;E.short_weierstrass_model();E.division_polynomial(1);E.division_polynomial(2);E.division_polynomial(3);E.division_polynomial(4)
Elliptic Curve defined by y^2 + y = x^3 - x + 1 over Rational Field
```

Elliptic Curve defined by y^2 = x^3 - 16*x + 80 over Rational Field
1
4*x^3 - 4*x + 5
3*x^4 - 6*x^2 + 15*x - 1
8*x^9 - 48*x^7 + 210*x^6 - 210*x^4 + 198*x^3 - 90*x^2 + 142*x - 115

division_polynomial,2th=2*y=2*(x^3 - 16*x + 80)?
from wiki http://en.wikipedia.org/wiki/Division...