(2,5,{(k-1)/4,(k+1)/4},*)

Holomorphic, Degree 2, Level 5

• Weight 4 , 5 , 6 , 8 , 10 , 12
• Hecke polynomials for T2

Back to Degree 2, Back to the start

Let denote the real nontrivial character . In terms of the Legendre symbol, . And let denote the character defined by .

We put

Let

We have . The twisted spaces are each 1-dimensional and are spanned by, respectively,

and

Note

The space is spanned by

We have the decomposition , and is spanned by

and

Note that is not a cusp form. It vanishes at the cusp  , but not at the cusp 0.

We have . The space is spanned by

and

Note that

And is spanned by

and

and we have