Back to Degree 2,
Back to the start
There are a total of 46 rational integral newforms of level 6. We can express them all rationally in terms of three basic Eisenstein series:
and
It is useful to further introduce
We will find that we can express all of our newforms as linear combinations
of this function. In fact, we can always take c=0 or 1.
The notation we will use to designate our newforms will
have the shape 
where wt is the weight, the superscript
indicates whether the newform is in the +1 eigenspace or the -1 eigenspace
of 
, and ltr is a or b depending on whether the coefficient 
is 
or 
.