• ← EllipticF
• → EllipticPi

EllipticK

Complete elliptic integral of the first kind (SymPy, WMA)

EllipticK[m]

computes the elliptic integral of the first kind $K(m)$.

• • EllipticK[0.5]

Elliptic curves give Pi / 2 when evaluated at zero:

• • EllipticK[0]

Plot over a reals around 0:

• • Plot[EllipticK[n], {n, -1, 1}]