| Passport | Genus | Orbits | Special features |
|---|---|---|---|
| 6T15-5.1_4.2_4.2 | 1 | 2 | Real and imaginary quadratic number fields |
| 6T15-5.1_5.1_4.2 | 1 | 2 | Two more interesting elliptic curves |
| 6T15-5.1_5.1_5.1 | 1 | 4 | |
| 6T16-5.1_3.2.1_3.2.1 | 0 | 2 | One distinguished dessin |
| 6T16-6_6_5.1 | 2 | 2 | |
| 7T5-7_7_3.3.1 | 2 | 2 | |
| 7T6-4.2.1_4.2.1_3.2.2 | 0 | 2 | |
| 7T6-5.1.1_3.2.2_5.1.1 | 0 | 2 | |
| 7T6-5.1.1_4.2.1_3.2.2 | 0 | 2 | From introduction |
| 7T6-5.1.1_4.2.1_4.2.1 | 0 | 2 | |
| 7T6-7_4.2.1_3.2.2 | 1 | 2 | |
| 7T6-7_4.2.1_4.2.1 | 1 | 3 | |
| 7T6-7_4.2.1_5.1.1 | 1 | 2 | |
| 7T6-7_5.1.1_3.2.2 | 1 | 2 | |
| 7T6-7_5.1.1_3.3.1 | 1 | 2 | |
| 7T6-7_5.1.1_5.1.1 | 1 | 3 | |
| 7T6-7_7_2.2.1.1.1 | 1 | 2 | |
| 7T6-7_7_3.1.1.1.1 | 1 | 2 | Celebrity elliptic curve |
| 7T6-7_7_3.2.2 | 2 | 4 | |
| 7T6-7_7_3.3.1 | 2 | 3 | |
| 7T7-7_3.2.1.1_3.2.1.1 | 0 | 2 | |
| 7T7-4.3_4.3_3.3.1 | 1 | 2 | One distinguished dessin |
| 7T7-5.1.1_4.3_4.3 | 1 | 3 | |
| 7T7-5.2_5.2_3.2.2 | 1 | 2 | |
| 7T7-5.2_5.2_3.3.1 | 1 | 4 | |
| 7T7-5.2_5.2_5.1.1 | 1 | 3 | |
| 7T7-6.1_6.1_3.2.2 | 1 | 2 | |
| 7T7-6.1_6.1_3.3.1 | 1 | 2 | |
| 7T7-6.1_6.1_5.1.1 | 1 | 3 | |
| 7T7-7_4.1.1.1_5.2 | 1 | 2 |