# characteristics three field elliptic curve lliptic curve for characteristics three field

How to generate elliptic curve from the following code as `B`

is in hexadecimal form. The elliptic curve generated from the following code is ... which is not showing `B`

in irreducible polynomial form.

**Elliptic Curve defined by $y^2 = x^3 + x^2 + 1$ over Finite Field in $a$ of size $3^{151}$**

```
F1.<x> = GF(3)[]
F.<a> = GF(3^151, 'a', modulus=x^151 + 2*x^2 + 1)
F.modulus()
F
A = 1
A
B = (0x1fc4865afe00a9216b0b5fd32c6300c4bed0707ae4072a03e55299f157b)
B
E = EllipticCurve(F, (0, A, 0, 0, B))
E
```