The database contains information about 129 examples of scalar and vector valued Siegel modular forms, as well as dimension formulas for spaces of Siegel modular forms. The examples not in the image of a lift from a lower rank group are almost all of the known examples in the literature, and most published dimension formulas are included.

Browse spaces

For each of the following spaces we give explicit examples of Siegel modular forms, as well as dimension formulas and some additional information:

$M_{k,j}\left(\textrm{Sp}(4,\mathbb{Z})\right)$     $M_{k}\left(\textrm{Sp}(6,\mathbb{Z})\right)$     $M_k\left(\textrm{Sp}(8,\mathbb{Z})\right)$     $M_2\left(K(p)\right)$    

For the following spaces we provide dimension tables, decompositions, and some additional information.

$M_{k,j}\left(\Gamma_0(2)\right)$     $M_{k,j}\left(\Gamma_1(2)\right)$     $M_{k,j}\left(\Gamma(2)\right)$     $M_k\left(\Gamma_0(3)\right)$     $M_k\left(\Gamma_0(3),\psi_3\right)$     $M_k\left(\Gamma_0(4)\right)$     $M_k\left(\Gamma_0(4),\psi_4\right)$     $M_{k-1/2}\left(\Gamma_0(4)\right)$    

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