elliptic_e( *z* , *m* )

The incomplete elliptic integral of the second kind of *z* and parameter *m* in SageMath. Defined by

Note that all elliptic integrals in SageMath use the parameter rather than the elliptic modulus *k*, which is related to the parameter by \( m = k^2 \).

Plot on the real axis:

Series expansion about the origin:

Special values:

Related functions: elliptic_ec elliptic_eu elliptic_f elliptic_pi

Function category: elliptic integrals sagemath-docs