Elliptic Curve defined by y^2 = x^3 + 2 over Rational Field
{2, -1}
2

4

Elliptic Curve defined by y^2 + 2*y = x^3 + 2 over Rational Field
{0, 3, -1}
6

2

Elliptic Curve defined by y^2 + 2*x*y = x^3 + 2*x + 2 over Rational Field
27*y^8 - 72*y^7 + 568*y^6 - 528*y^5 - 984*y^4 + 4768*y^3 + 2400*y^2 - 7872*y - 5840
2-adic completion of Number Field in pi24 with defining polynomial x^24 + 52*x^21 + 28*x^18 + 24*x^15 + 24*x^12 + 24*x^9 + 124*x^6 + 80*x^3 + 22 as weak Galois extension of 2-adic completion of Rational Field
[(0, 24), (5, 8), (15, 2)]

5