Warning: Some newforms may be missing
| Class | L | Sign | Degree | Atkin-Lehner | Traces of eigenvalues |
|---|---|---|---|---|---|
| 5800A | - | 1 | 2+ 5+ 29+ | 0 -2 0 -4 0 -6 0 0 | |
| 5800B | - | 1 | 2+ 5+ 29+ | 0 -2 0 2 -6 -6 6 6 | |
| 5800E | - | 1 | 2+ 5+ 29+ | 0 -1 0 -2 3 1 0 0 | |
| 5800F | + | 1 | 2+ 5+ 29- | 0 -1 0 0 5 -4 -3 1 | |
| 5800C | + | 1 | 2+ 5- 29+ | 0 -2 0 2 4 4 -4 -4 | |
| 5800G | - | 1 | 2+ 5- 29- | 0 0 0 -2 0 0 6 -4 | |
| 5800D | + | 1 | 2- 5+ 29+ | 0 -2 0 4 0 2 4 0 | |
| 5800J | + | 1 | 2- 5+ 29+ | 0 1 0 -2 -3 5 4 0 | |
| 5800N | + | 1 | 2- 5+ 29+ | 0 2 0 0 4 2 0 4 | |
| 5800H | - | 1 | 2- 5+ 29- | 0 0 0 0 0 2 6 -8 | |
| 5800L | - | 1 | 2- 5- 29+ | 0 2 0 -2 -6 6 -6 6 | |
| 5800M | - | 1 | 2- 5- 29+ | 0 2 0 -2 4 -4 4 -4 | |
| 5800I | + | 1 | 2- 5- 29- | 0 0 0 2 0 0 -6 -4 | |
| 5800K | + | 1 | 2- 5- 29- | 0 1 0 0 5 4 3 1 | |
| 5800O | + | 2 | 2+ 5+ 29- | 0 2 0 8 -2 2 4 4 | |
| 5800Q | - | 3 | 2+ 5+ 29+ | 0 -1 0 3 6 1 -5 2 | |
| 5800S | - | 3 | 2+ 5+ 29+ | 0 2 0 4 -10 2 -4 -10 | |
| 5800R | + | 3 | 2+ 5+ 29- | 0 2 0 -2 -4 6 0 -8 | |
| 5800P | - | 3 | 2- 5+ 29- | 0 -2 0 0 2 -4 -6 -4 | |
| 5800T | + | 5 | 2+ 5+ 29- | 0 -3 0 -7 10 -1 1 10 | |
| 5800V | + | 5 | 2- 5+ 29+ | 0 1 0 1 -4 -13 -3 0 | |
| 5800U | - | 5 | 2- 5+ 29- | 0 1 0 -7 -10 -3 -3 2 | |
| 5800Y | - | 6 | 2+ 5+ 29+ | 0 1 0 4 -1 0 -6 -11 | |
| 5800Z | - | 6 | 2+ 5- 29- | 0 2 0 4 -4 -8 -3 -6 | |
| 5800W | - | 6 | 2- 5+ 29- | 0 -2 0 -4 -4 8 3 -6 | |
| 5800X | - | 6 | 2- 5- 29+ | 0 -1 0 -4 -1 0 6 -11 | |
| 5800BB | + | 7 | 2+ 5+ 29- | 0 0 0 -6 -2 6 13 4 | |
| 5800DD | + | 7 | 2+ 5- 29+ | 0 2 0 -8 6 0 -1 4 | |
| 5800AA | + | 7 | 2- 5+ 29+ | 0 -2 0 8 6 0 1 4 | |
| 5800CC | + | 7 | 2- 5- 29- | 0 0 0 6 -2 -6 -13 4 | |
| 5800EE | - | 8 | 2+ 5- 29- | 0 -3 0 -3 4 -7 -19 8 | |
| 5800FF | + | 8 | 2- 5- 29- | 0 3 0 3 4 7 19 8 | |
| 5800HH | + | 11 | 2+ 5- 29+ | 0 5 0 1 0 -1 17 8 | |
| 5800GG | - | 11 | 2- 5- 29+ | 0 -5 0 -1 0 1 -17 8 |