(2,2,{(k-1)/4,(k+1)/4},±(-1)^(k/2))

Holomorphic, Degree 2, Level 3

• Weight 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 16 , 18 , 19 , 20 , 22 , 24 , 25 , 31 , 37 , 43 , 49
• Hecke polynomials

Back to Degree 2, Back to the start

Let denote the Legendre symbol mod 3. There is a weight 1 Eisenstein series in which is associated with

It is given by

In general, we use the notation

where denotes the level 1 Eisenstein series of weight k.

The square of is the Eisenstein series of weight 2:

which is associated with

There is a two dimensional space of modular forms of weight 4 spanned by

and

Other relations among Eisenstein series include:

and