The database currently contains information on $S_k(\Gamma_0(N))$ for $(k,N)$ in the ranges $[2,12]\times [1,100]$ and $[2,40]\times [1,25]$, and on $S_k(\Gamma_1(N))$ in the ranges $[2,10]\times [1,50]$ and $[2,20]\times [1,16]$. More data is being added continually.

# Browse holomorphic newforms for \(\Gamma_0(N)\)

The table below gives the dimensions of the space of holomorphic
newforms of integral
weight for \(\Gamma_0(N)\)
, with trivial character.

Weight | Level \(N\) | |||||||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | |

12 | 1 | 0 | 1 | 1 | 3 | 3 | 5 | 3 | 4 | 5 | 8 | 2 | 11 | 6 | 8 | 5 | 14 | 5 | 16 | 3 | 12 | 11 | 19 | 5 |

# Change the range covered by the table

# Find a specific cusp form from the database

Search by label of a
form, or of a space of forms
e.g. 1.12.1.a or 55.11.54