The database contains examples of scalar and vector valued Siegel modular forms, as well as dimension formulas for spaces of Siegel modular forms. The examples that are not lifts represent most of the known examples that have appeared in the literature.

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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