Mathlean · Online math workspace

Eisenstein series calculator

Evaluate supported normalized Eisenstein series of even weight.

How to use this calculator

Edit EisensteinE(weight,tau), keeping tau in the upper half-plane.

Tap the math below to edit it and see the result. Once a result is ready, press Tab on a hardware keyboard to accept it. Outside a matrix, Return completes the line; the phone math keyboard has the same Return action.

Try it here

EisensteinE⁡(4,i)\operatorname{EisensteinE}\left(4,i\right)

Interactive tools require JavaScript. You can read the guide and example without it.

What to know

Use even weights at least 2. Weight 2 is quasimodular rather than an ordinary modular form.

Mathlean combines visual mathematical input with computation and canvas tools. Results depend on the expression and available engine support; check important answers independently.

Browse all calculators and editors