On Sat, 02 Dec 2006 09:34:44 -0800, David Joyner <[EMAIL PROTECTED]>  
wrote:
> I think the answer is no. The sections of the reference manual listed
> towards the
> bottom of the page at
> http://modular.math.washington.edu/sage/doc/html/ref/index.html
> explain the commands which SAGE currently has. The ones you want seem to
> be implemented (at this point) for weight >= 2.
>
> William Stein is really the world expert on this though and he is the
> one to ask.
> William?
>
>
>> Dear Prof. Joyner, are there plans to do anything regarding modular  
>> forms of weight one in sage? or has something been done there already?  
>> For example, can i turn to sage and determine information on the space  
>> of cusp forms of weight one for \Gamma_0(283) and character (-283/*)?  
>> Will it tell me there is one primitive form of type S_3 and two primit  
>> forms of type S_4? Can i determine the q-expansions with sage for these  
>> forms? I guess i am asking whether there is a sage routine to calculate  
>> the dimension formula for modular and primite cusp forms of weight one  
>> for congruence subgroups and how do i tell the symmetry type?

There are no such dimension formulas anywhere (not just not implemented --  
they
don't exist), as far as I know.  Kevin Buzzard and Gabor Wiese are the main
people who have carried out explicit computations of weight 1 forms  
recently.

William

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