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 | |
| 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 2 | 1 |
| 4 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 1 | 3 | 2 | 2 | 1 | 4 | 1 | 4 | 1 | 4 | 3 | 5 | 1 |
| 6 | 0 | 0 | 1 | 1 | 1 | 1 | 3 | 1 | 1 | 3 | 4 | 0 | 5 | 2 | 4 | 2 | 6 | 3 | 8 | 1 | 4 | 5 | 9 | 3 |
| 8 | 0 | 1 | 1 | 0 | 3 | 1 | 3 | 2 | 3 | 1 | 6 | 2 | 7 | 4 | 4 | 3 | 10 | 2 | 10 | 3 | 8 | 5 | 13 | 3 |
| 10 | 0 | 1 | 2 | 1 | 3 | 1 | 5 | 2 | 3 | 3 | 8 | 1 | 9 | 4 | 6 | 4 | 12 | 4 | 14 | 3 | 8 | 7 | 17 | 5 |
| 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 |
Browse other spaces of modular forms
Find a specific cusp form from the database
Search by label