Database - gps_gsp4zhat (Subgroups of $\GSp_4(\hat{\mathbb{Z}})$)

Formats: - HTML - YAML - JSON - 2026-01-29T12:08:36.534690 - next page

Query: /api/gps_gsp4zhat/?_offset=0

Column	Type
children	text[]
generators	integer[]
index	numeric
isogeny_orbits	integer[]
label	text
level	integer
orbits	integer[]
parents	text[]
quadratic_twists	text[]

0. label: 1.1.1
   {'children': ['2.2.1', '2.6.1', '2.6.2', '2.10.1', '2.15.1', '2.15.2', '3.27.1', '3.36.1', '3.40.1', '3.40.2', '3.45.1', '5.156.1', '5.156.2', '5.300.1', '5.325.1', '5.4875.1', '5.6500.1', '5.9750.1', '5.13000.1'], 'generators': [], 'index': 1, 'isogeny_orbits': [], 'label': '1.1.1', 'level': 1, 'orbits': [], 'parents': [], 'quadratic_twists': ['1.1.1']}
1. label: 2.2.1
   {'children': ['2.12.1', '2.12.2', '2.20.1', '2.30.1', '2.30.2'], 'generators': [[1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1], [0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1]], 'index': 2, 'isogeny_orbits': [[2, 15, 1]], 'label': '2.2.1', 'level': 2, 'orbits': [[2, 15, 1]], 'parents': ['1.1.1'], 'quadratic_twists': ['2.2.1']}
2. label: 2.6.1
   {'children': ['2.12.1', '2.30.3', '2.36.1', '2.60.1'], 'generators': [[0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0], [0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0]], 'index': 6, 'isogeny_orbits': [[2, 15, 1]], 'label': '2.6.1', 'level': 2, 'orbits': [[2, 5, 1], [2, 10, 1]], 'parents': ['1.1.1'], 'quadratic_twists': ['2.6.1']}
3. label: 2.6.2
   {'children': ['2.12.2', '2.30.4', '2.36.1', '2.60.2'], 'generators': [[1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0], [0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0]], 'index': 6, 'isogeny_orbits': [[2, 5, 1], [2, 10, 1]], 'label': '2.6.2', 'level': 2, 'orbits': [[2, 15, 1]], 'parents': ['1.1.1'], 'quadratic_twists': ['2.6.2']}
4. label: 2.10.1
   {'children': ['2.20.1', '2.20.2', '2.20.3', '2.90.1'], 'generators': [[0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1], [1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1]], 'index': 10, 'isogeny_orbits': [[2, 6, 1], [2, 9, 1]], 'label': '2.10.1', 'level': 2, 'orbits': [[2, 6, 1], [2, 9, 1]], 'parents': ['1.1.1'], 'quadratic_twists': ['2.10.1']}
5. label: 2.12.1
   {'children': ['2.60.3', '2.72.1', '2.120.1'], 'generators': [[0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0], [0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1]], 'index': 12, 'isogeny_orbits': [[2, 15, 1]], 'label': '2.12.1', 'level': 2, 'orbits': [[2, 5, 1], [2, 10, 1]], 'parents': ['2.2.1', '2.6.1'], 'quadratic_twists': ['2.12.1']}
6. label: 2.12.2
   {'children': ['2.60.4', '2.72.1', '2.120.2'], 'generators': [[0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1], [1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0]], 'index': 12, 'isogeny_orbits': [[2, 5, 1], [2, 10, 1]], 'label': '2.12.2', 'level': 2, 'orbits': [[2, 15, 1]], 'parents': ['2.2.1', '2.6.2'], 'quadratic_twists': ['2.12.2']}
7. label: 2.15.1
   {'children': ['2.30.1', '2.30.3', '2.30.5', '2.45.1', '2.60.1'], 'generators': [[1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1], [0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0]], 'index': 15, 'isogeny_orbits': [[2, 3, 1], [2, 12, 1]], 'label': '2.15.1', 'level': 2, 'orbits': [[2, 1, 1], [2, 6, 1], [2, 8, 1]], 'parents': ['1.1.1'], 'quadratic_twists': ['2.15.1']}
8. label: 2.15.2
   {'children': ['2.30.2', '2.30.4', '2.30.6', '2.45.1', '2.60.2'], 'generators': [[1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1], [1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1]], 'index': 15, 'isogeny_orbits': [[2, 1, 1], [2, 6, 1], [2, 8, 1]], 'label': '2.15.2', 'level': 2, 'orbits': [[2, 3, 1], [2, 12, 1]], 'parents': ['1.1.1'], 'quadratic_twists': ['2.15.2']}
9. label: 2.20.1
   {'children': ['2.40.1', '2.180.1'], 'generators': [[1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1]], 'index': 20, 'isogeny_orbits': [[2, 6, 1], [2, 9, 1]], 'label': '2.20.1', 'level': 2, 'orbits': [[2, 6, 1], [2, 9, 1]], 'parents': ['2.2.1', '2.10.1'], 'quadratic_twists': ['2.20.1']}
10. label: 2.20.2
    {'children': ['2.40.1', '2.40.2', '2.60.1'], 'generators': [[1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0], [1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1]], 'index': 20, 'isogeny_orbits': [[2, 6, 1], [2, 9, 1]], 'label': '2.20.2', 'level': 2, 'orbits': [[2, 3, 2], [2, 9, 1]], 'parents': ['2.10.1'], 'quadratic_twists': ['2.20.2']}
11. label: 2.20.3
    {'children': ['2.40.1', '2.40.3', '2.60.2'], 'generators': [[0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0], [1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0]], 'index': 20, 'isogeny_orbits': [[2, 3, 2], [2, 9, 1]], 'label': '2.20.3', 'level': 2, 'orbits': [[2, 6, 1], [2, 9, 1]], 'parents': ['2.10.1'], 'quadratic_twists': ['2.20.3']}
12. label: 2.30.1
    {'children': ['2.60.3', '2.90.2', '2.120.1'], 'generators': [[0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1], [1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0]], 'index': 30, 'isogeny_orbits': [[2, 3, 1], [2, 12, 1]], 'label': '2.30.1', 'level': 2, 'orbits': [[2, 1, 1], [2, 6, 1], [2, 8, 1]], 'parents': ['2.2.1', '2.15.1'], 'quadratic_twists': ['2.30.1']}
13. label: 2.30.2
    {'children': ['2.60.4', '2.90.2', '2.120.2'], 'generators': [[0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0], [0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0]], 'index': 30, 'isogeny_orbits': [[2, 1, 1], [2, 6, 1], [2, 8, 1]], 'label': '2.30.2', 'level': 2, 'orbits': [[2, 3, 1], [2, 12, 1]], 'parents': ['2.2.1', '2.15.2'], 'quadratic_twists': ['2.30.2']}
14. label: 2.30.3
    {'children': ['2.60.3', '2.90.3', '2.120.3'], 'generators': [[1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0], [1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1]], 'index': 30, 'isogeny_orbits': [[2, 3, 1], [2, 12, 1]], 'label': '2.30.3', 'level': 2, 'orbits': [[2, 1, 1], [2, 4, 2], [2, 6, 1]], 'parents': ['2.6.1', '2.15.1'], 'quadratic_twists': ['2.30.3']}
15. label: 2.30.4
    {'children': ['2.60.4', '2.90.4', '2.120.4'], 'generators': [[0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0], [0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0]], 'index': 30, 'isogeny_orbits': [[2, 1, 1], [2, 4, 2], [2, 6, 1]], 'label': '2.30.4', 'level': 2, 'orbits': [[2, 3, 1], [2, 12, 1]], 'parents': ['2.6.2', '2.15.2'], 'quadratic_twists': ['2.30.4']}
16. label: 2.30.5
    {'children': ['2.60.3', '2.90.5', '2.120.5'], 'generators': [[1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1], [1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1]], 'index': 30, 'isogeny_orbits': [[2, 3, 1], [2, 12, 1]], 'label': '2.30.5', 'level': 2, 'orbits': [[2, 1, 1], [2, 6, 1], [2, 8, 1]], 'parents': ['2.15.1'], 'quadratic_twists': ['2.30.5']}
17. label: 2.30.6
    {'children': ['2.60.4', '2.90.6', '2.120.6'], 'generators': [[0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1], [0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1]], 'index': 30, 'isogeny_orbits': [[2, 1, 1], [2, 6, 1], [2, 8, 1]], 'label': '2.30.6', 'level': 2, 'orbits': [[2, 3, 1], [2, 12, 1]], 'parents': ['2.15.2'], 'quadratic_twists': ['2.30.6']}
18. label: 2.36.1
    {'children': ['2.72.1', '2.180.2'], 'generators': [[1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0], [1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1]], 'index': 36, 'isogeny_orbits': [[2, 5, 1], [2, 10, 1]], 'label': '2.36.1', 'level': 2, 'orbits': [[2, 5, 1], [2, 10, 1]], 'parents': ['2.6.1', '2.6.2'], 'quadratic_twists': ['2.36.1']}
19. label: 2.40.1
    {'children': ['2.80.1', '2.120.1', '2.120.2'], 'generators': [[1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1], [1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1], [0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1]], 'index': 40, 'isogeny_orbits': [[2, 3, 2], [2, 9, 1]], 'label': '2.40.1', 'level': 2, 'orbits': [[2, 3, 2], [2, 9, 1]], 'parents': ['2.20.1', '2.20.2', '2.20.3'], 'quadratic_twists': ['2.40.1']}
20. label: 2.40.2
    {'children': ['2.80.1', '2.120.3', '2.120.5'], 'generators': [[1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1], [0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1]], 'index': 40, 'isogeny_orbits': [[2, 6, 1], [2, 9, 1]], 'label': '2.40.2', 'level': 2, 'orbits': [[2, 3, 2], [2, 9, 1]], 'parents': ['2.20.2'], 'quadratic_twists': ['2.40.2']}
21. label: 2.40.3
    {'children': ['2.80.1', '2.120.4', '2.120.6'], 'generators': [[1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1], [1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0]], 'index': 40, 'isogeny_orbits': [[2, 3, 2], [2, 9, 1]], 'label': '2.40.3', 'level': 2, 'orbits': [[2, 6, 1], [2, 9, 1]], 'parents': ['2.20.3'], 'quadratic_twists': ['2.40.3']}
22. label: 2.45.1
    {'children': ['2.90.1', '2.90.2', '2.90.3', '2.90.4', '2.90.5', '2.90.6', '2.90.7'], 'generators': [[0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0], [1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1], [0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0]], 'index': 45, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [2, 4, 1], [2, 8, 1]], 'label': '2.45.1', 'level': 2, 'orbits': [[2, 1, 1], [2, 2, 1], [2, 4, 1], [2, 8, 1]], 'parents': ['2.15.1', '2.15.2'], 'quadratic_twists': ['2.45.1']}
23. label: 2.60.1
    {'children': ['2.120.1', '2.120.3', '2.120.5', '2.180.3'], 'generators': [[1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0], [0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0]], 'index': 60, 'isogeny_orbits': [[2, 3, 1], [2, 6, 2]], 'label': '2.60.1', 'level': 2, 'orbits': [[2, 1, 1], [2, 2, 1], [2, 3, 2], [2, 6, 1]], 'parents': ['2.6.1', '2.15.1', '2.20.2'], 'quadratic_twists': ['2.60.1']}
24. label: 2.60.2
    {'children': ['2.120.2', '2.120.4', '2.120.6', '2.180.4'], 'generators': [[0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1], [1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1]], 'index': 60, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [2, 3, 2], [2, 6, 1]], 'label': '2.60.2', 'level': 2, 'orbits': [[2, 3, 1], [2, 6, 2]], 'parents': ['2.6.2', '2.15.2', '2.20.3'], 'quadratic_twists': ['2.60.2']}
25. label: 2.60.3
    {'children': ['2.180.5', '2.240.1'], 'generators': [[1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1], [1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1]], 'index': 60, 'isogeny_orbits': [[2, 3, 1], [2, 12, 1]], 'label': '2.60.3', 'level': 2, 'orbits': [[2, 1, 1], [2, 4, 2], [2, 6, 1]], 'parents': ['2.12.1', '2.30.1', '2.30.3', '2.30.5'], 'quadratic_twists': ['2.60.3']}
26. label: 2.60.4
    {'children': ['2.180.6', '2.240.2'], 'generators': [[0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1], [0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1]], 'index': 60, 'isogeny_orbits': [[2, 1, 1], [2, 4, 2], [2, 6, 1]], 'label': '2.60.4', 'level': 2, 'orbits': [[2, 3, 1], [2, 12, 1]], 'parents': ['2.12.2', '2.30.2', '2.30.4', '2.30.6'], 'quadratic_twists': ['2.60.4']}
27. label: 2.72.1
    {'children': ['2.144.1', '2.360.1'], 'generators': [[0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0], [1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0]], 'index': 72, 'isogeny_orbits': [[2, 5, 3]], 'label': '2.72.1', 'level': 2, 'orbits': [[2, 5, 3]], 'parents': ['2.12.1', '2.12.2', '2.36.1'], 'quadratic_twists': ['2.72.1']}
28. label: 2.80.1
    {'children': ['2.240.1', '2.240.2'], 'generators': [[1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1], [0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1]], 'index': 80, 'isogeny_orbits': [[2, 3, 2], [2, 9, 1]], 'label': '2.80.1', 'level': 2, 'orbits': [[2, 3, 2], [2, 9, 1]], 'parents': ['2.40.1', '2.40.2', '2.40.3'], 'quadratic_twists': ['2.80.1']}
29. label: 2.90.1
    {'children': ['2.180.1', '2.180.3', '2.180.4'], 'generators': [[1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1], [0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1]], 'index': 90, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [2, 4, 3]], 'label': '2.90.1', 'level': 2, 'orbits': [[2, 1, 1], [2, 2, 1], [2, 4, 3]], 'parents': ['2.10.1', '2.45.1'], 'quadratic_twists': ['2.90.1']}
30. label: 2.90.2
    {'children': ['2.180.1', '2.180.5', '2.180.6'], 'generators': [[0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0], [1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1]], 'index': 90, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [2, 4, 1], [2, 8, 1]], 'label': '2.90.2', 'level': 2, 'orbits': [[2, 1, 1], [2, 2, 1], [2, 4, 1], [2, 8, 1]], 'parents': ['2.30.1', '2.30.2', '2.45.1'], 'quadratic_twists': ['2.90.2']}
31. label: 2.90.3
    {'children': ['2.180.2', '2.180.3', '2.180.5'], 'generators': [[0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0], [1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1]], 'index': 90, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [2, 4, 1], [2, 8, 1]], 'label': '2.90.3', 'level': 2, 'orbits': [[2, 1, 1], [2, 2, 1], [2, 4, 3]], 'parents': ['2.30.3', '2.45.1'], 'quadratic_twists': ['2.90.3']}
32. label: 2.90.4
    {'children': ['2.180.2', '2.180.4', '2.180.6'], 'generators': [[0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0], [0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0]], 'index': 90, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [2, 4, 3]], 'label': '2.90.4', 'level': 2, 'orbits': [[2, 1, 1], [2, 2, 1], [2, 4, 1], [2, 8, 1]], 'parents': ['2.30.4', '2.45.1'], 'quadratic_twists': ['2.90.4']}
33. label: 2.90.5
    {'children': ['2.180.4', '2.180.5', '2.180.7'], 'generators': [[0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0], [0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0], [0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0]], 'index': 90, 'isogeny_orbits': [[2, 1, 3], [2, 4, 3]], 'label': '2.90.5', 'level': 2, 'orbits': [[2, 1, 1], [2, 2, 3], [2, 8, 1]], 'parents': ['2.30.5', '2.45.1'], 'quadratic_twists': ['2.90.5']}
34. label: 2.90.6
    {'children': ['2.180.3', '2.180.6', '2.180.7'], 'generators': [[0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0], [0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0], [1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1]], 'index': 90, 'isogeny_orbits': [[2, 1, 1], [2, 2, 3], [2, 8, 1]], 'label': '2.90.6', 'level': 2, 'orbits': [[2, 1, 3], [2, 4, 3]], 'parents': ['2.30.6', '2.45.1'], 'quadratic_twists': ['2.90.6']}
35. label: 2.90.7
    {'children': ['2.180.1', '2.180.2', '2.180.7'], 'generators': [[0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0], [0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0]], 'index': 90, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [2, 4, 1], [2, 8, 1]], 'label': '2.90.7', 'level': 2, 'orbits': [[2, 1, 1], [2, 2, 1], [2, 4, 1], [2, 8, 1]], 'parents': ['2.45.1'], 'quadratic_twists': ['2.90.7']}
36. label: 2.120.1
    {'children': ['2.240.1', '2.360.1'], 'generators': [[0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0], [0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0]], 'index': 120, 'isogeny_orbits': [[2, 3, 3], [2, 6, 1]], 'label': '2.120.1', 'level': 2, 'orbits': [[2, 1, 1], [2, 2, 1], [2, 3, 2], [2, 6, 1]], 'parents': ['2.12.1', '2.30.1', '2.40.1', '2.60.1'], 'quadratic_twists': ['2.120.1']}
37. label: 2.120.2
    {'children': ['2.240.2', '2.360.1'], 'generators': [[0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0], [1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0]], 'index': 120, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [2, 3, 2], [2, 6, 1]], 'label': '2.120.2', 'level': 2, 'orbits': [[2, 3, 3], [2, 6, 1]], 'parents': ['2.12.2', '2.30.2', '2.40.1', '2.60.2'], 'quadratic_twists': ['2.120.2']}
38. label: 2.120.3
    {'children': ['2.240.1', '2.360.2'], 'generators': [[0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0], [1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]], 'index': 120, 'isogeny_orbits': [[2, 3, 3], [2, 6, 1]], 'label': '2.120.3', 'level': 2, 'orbits': [[2, 1, 3], [2, 3, 4]], 'parents': ['2.30.3', '2.40.2', '2.60.1'], 'quadratic_twists': ['2.120.3']}
39. label: 2.120.4
    {'children': ['2.240.2', '2.360.3'], 'generators': [[1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0], [1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1]], 'index': 120, 'isogeny_orbits': [[2, 1, 3], [2, 3, 4]], 'label': '2.120.4', 'level': 2, 'orbits': [[2, 3, 3], [2, 6, 1]], 'parents': ['2.30.4', '2.40.3', '2.60.2'], 'quadratic_twists': ['2.120.4']}
40. label: 2.120.5
    {'children': ['2.240.1', '2.360.2'], 'generators': [[0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1]], 'index': 120, 'isogeny_orbits': [[2, 3, 1], [2, 6, 2]], 'label': '2.120.5', 'level': 2, 'orbits': [[2, 1, 1], [2, 2, 1], [2, 3, 2], [2, 6, 1]], 'parents': ['2.30.5', '2.40.2', '2.60.1'], 'quadratic_twists': ['2.120.5']}
41. label: 2.120.6
    {'children': ['2.240.2', '2.360.3'], 'generators': [[0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1]], 'index': 120, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [2, 3, 2], [2, 6, 1]], 'label': '2.120.6', 'level': 2, 'orbits': [[2, 3, 1], [2, 6, 2]], 'parents': ['2.30.6', '2.40.3', '2.60.2'], 'quadratic_twists': ['2.120.6']}
42. label: 2.144.1
    {'children': ['2.720.1'], 'generators': [[1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0]], 'index': 144, 'isogeny_orbits': [[2, 5, 3]], 'label': '2.144.1', 'level': 2, 'orbits': [[2, 5, 3]], 'parents': ['2.72.1'], 'quadratic_twists': ['2.144.1']}
43. label: 2.180.1
    {'children': ['2.360.1'], 'generators': [[1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1]], 'index': 180, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [2, 4, 3]], 'label': '2.180.1', 'level': 2, 'orbits': [[2, 1, 1], [2, 2, 1], [2, 4, 3]], 'parents': ['2.20.1', '2.90.1', '2.90.2', '2.90.7'], 'quadratic_twists': ['2.180.1']}
44. label: 2.180.2
    {'children': ['2.360.1'], 'generators': [[0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0]], 'index': 180, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [2, 4, 3]], 'label': '2.180.2', 'level': 2, 'orbits': [[2, 1, 1], [2, 2, 1], [2, 4, 3]], 'parents': ['2.36.1', '2.90.3', '2.90.4', '2.90.7'], 'quadratic_twists': ['2.180.2']}
45. label: 2.180.3
    {'children': ['2.360.1', '2.360.2'], 'generators': [[0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0], [1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1]], 'index': 180, 'isogeny_orbits': [[2, 1, 1], [2, 2, 3], [2, 4, 2]], 'label': '2.180.3', 'level': 2, 'orbits': [[2, 1, 3], [2, 2, 4], [2, 4, 1]], 'parents': ['2.60.1', '2.90.1', '2.90.3', '2.90.6'], 'quadratic_twists': ['2.180.3']}
46. label: 2.180.4
    {'children': ['2.360.1', '2.360.3'], 'generators': [[0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0], [1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1]], 'index': 180, 'isogeny_orbits': [[2, 1, 3], [2, 2, 4], [2, 4, 1]], 'label': '2.180.4', 'level': 2, 'orbits': [[2, 1, 1], [2, 2, 3], [2, 4, 2]], 'parents': ['2.60.2', '2.90.1', '2.90.4', '2.90.5'], 'quadratic_twists': ['2.180.4']}
47. label: 2.180.5
    {'children': ['2.360.1'], 'generators': [[1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1], [1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1]], 'index': 180, 'isogeny_orbits': [[2, 1, 3], [2, 4, 3]], 'label': '2.180.5', 'level': 2, 'orbits': [[2, 1, 1], [2, 2, 3], [2, 4, 2]], 'parents': ['2.60.3', '2.90.2', '2.90.3', '2.90.5'], 'quadratic_twists': ['2.180.5']}
48. label: 2.180.6
    {'children': ['2.360.1'], 'generators': [[1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1], [1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1]], 'index': 180, 'isogeny_orbits': [[2, 1, 1], [2, 2, 3], [2, 4, 2]], 'label': '2.180.6', 'level': 2, 'orbits': [[2, 1, 3], [2, 4, 3]], 'parents': ['2.60.4', '2.90.2', '2.90.4', '2.90.6'], 'quadratic_twists': ['2.180.6']}
49. label: 2.180.7
    {'children': ['2.360.1', '2.360.2', '2.360.3'], 'generators': [[1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1], [1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1]], 'index': 180, 'isogeny_orbits': [[2, 1, 3], [2, 2, 2], [2, 4, 2]], 'label': '2.180.7', 'level': 2, 'orbits': [[2, 1, 3], [2, 2, 2], [2, 4, 2]], 'parents': ['2.90.5', '2.90.6', '2.90.7'], 'quadratic_twists': ['2.180.7']}
50. label: 2.240.1
    {'children': ['2.720.1'], 'generators': [[1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1]], 'index': 240, 'isogeny_orbits': [[2, 3, 5]], 'label': '2.240.1', 'level': 2, 'orbits': [[2, 1, 3], [2, 3, 4]], 'parents': ['2.60.3', '2.80.1', '2.120.1', '2.120.3', '2.120.5'], 'quadratic_twists': ['2.240.1']}
51. label: 2.240.2
    {'children': ['2.720.1'], 'generators': [[1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0]], 'index': 240, 'isogeny_orbits': [[2, 1, 3], [2, 3, 4]], 'label': '2.240.2', 'level': 2, 'orbits': [[2, 3, 5]], 'parents': ['2.60.4', '2.80.1', '2.120.2', '2.120.4', '2.120.6'], 'quadratic_twists': ['2.240.2']}
52. label: 2.360.1
    {'children': ['2.720.1'], 'generators': [[1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1]], 'index': 360, 'isogeny_orbits': [[2, 1, 3], [2, 2, 6]], 'label': '2.360.1', 'level': 2, 'orbits': [[2, 1, 3], [2, 2, 6]], 'parents': ['2.72.1', '2.120.1', '2.120.2', '2.180.1', '2.180.2', '2.180.3', '2.180.4', '2.180.5', '2.180.6', '2.180.7'], 'quadratic_twists': ['2.360.1']}
53. label: 2.360.2
    {'children': ['2.720.1'], 'generators': [[0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0]], 'index': 360, 'isogeny_orbits': [[2, 1, 3], [2, 2, 6]], 'label': '2.360.2', 'level': 2, 'orbits': [[2, 1, 7], [2, 2, 4]], 'parents': ['2.120.3', '2.120.5', '2.180.3', '2.180.7'], 'quadratic_twists': ['2.360.2']}
54. label: 2.360.3
    {'children': ['2.720.1'], 'generators': [[1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1]], 'index': 360, 'isogeny_orbits': [[2, 1, 7], [2, 2, 4]], 'label': '2.360.3', 'level': 2, 'orbits': [[2, 1, 3], [2, 2, 6]], 'parents': ['2.120.4', '2.120.6', '2.180.4', '2.180.7'], 'quadratic_twists': ['2.360.3']}
55. label: 2.720.1
    {'children': [], 'generators': [], 'index': 720, 'isogeny_orbits': [[2, 1, 15]], 'label': '2.720.1', 'level': 2, 'orbits': [[2, 1, 15]], 'parents': ['2.144.1', '2.240.1', '2.240.2', '2.360.1', '2.360.2', '2.360.3'], 'quadratic_twists': ['2.720.1']}
56. label: 3.27.1
    {'children': ['3.135.1', '3.162.1', '3.270.1', '3.432.1'], 'generators': [[2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0], [1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0]], 'index': 27, 'isogeny_orbits': [[3, 40, 1]], 'label': '3.27.1', 'level': 3, 'orbits': [[3, 80, 1]], 'parents': ['1.1.1'], 'quadratic_twists': ['3.27.1']}
57. label: 3.36.1
    {'children': ['3.72.1', '3.72.2', '3.216.1', '3.216.2', '3.360.1', '3.540.1', '3.540.2'], 'generators': [[2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2], [0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0]], 'index': 36, 'isogeny_orbits': [[3, 10, 1], [3, 30, 1]], 'label': '3.36.1', 'level': 3, 'orbits': [[3, 80, 1]], 'parents': ['1.1.1'], 'quadratic_twists': ['3.36.1']}
58. label: 3.40.1
    {'children': ['3.80.1', '3.80.2', '3.120.1', '3.160.1', '3.360.2'], 'generators': [[2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1], [2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2]], 'index': 40, 'isogeny_orbits': [[3, 4, 1], [3, 36, 1]], 'label': '3.40.1', 'level': 3, 'orbits': [[3, 2, 1], [3, 24, 1], [3, 54, 1]], 'parents': ['1.1.1'], 'quadratic_twists': ['3.40.1', '3.80.1', '3.80.2']}
59. label: 3.40.2
    {'children': ['3.80.3', '3.80.4', '3.120.2', '3.160.1', '3.1080.1'], 'generators': [[2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1], [0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2]], 'index': 40, 'isogeny_orbits': [[3, 1, 1], [3, 12, 1], [3, 27, 1]], 'label': '3.40.2', 'level': 3, 'orbits': [[3, 8, 1], [3, 72, 1]], 'parents': ['1.1.1'], 'quadratic_twists': ['3.40.2']}
60. label: 3.45.1
    {'children': ['3.90.1', '3.90.2', '3.135.1', '3.135.2', '3.720.1'], 'generators': [[0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1], [0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2]], 'index': 45, 'isogeny_orbits': [[3, 16, 1], [3, 24, 1]], 'label': '3.45.1', 'level': 3, 'orbits': [[3, 16, 1], [3, 64, 1]], 'parents': ['1.1.1'], 'quadratic_twists': ['3.45.1']}
61. label: 3.72.1
    {'children': ['3.432.1', '3.432.2', '3.720.2', '3.1080.2', '3.1080.3'], 'generators': [[1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0], [1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0]], 'index': 72, 'isogeny_orbits': [[3, 10, 1], [3, 30, 1]], 'label': '3.72.1', 'level': 3, 'orbits': [[3, 80, 1]], 'parents': ['3.36.1'], 'quadratic_twists': ['3.72.1']}
62. label: 3.72.2
    {'children': ['3.432.3', '3.432.4', '3.720.3', '3.1080.4', '3.1080.5'], 'generators': [[0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2], [2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0]], 'index': 72, 'isogeny_orbits': [[3, 10, 1], [3, 30, 1]], 'label': '3.72.2', 'level': 3, 'orbits': [[3, 80, 1]], 'parents': ['3.36.1'], 'quadratic_twists': ['3.72.2']}
63. label: 3.80.1
    {'children': ['3.240.1', '3.320.1', '3.720.4'], 'generators': [[1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2], [1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2]], 'index': 80, 'isogeny_orbits': [[3, 4, 1], [3, 36, 1]], 'label': '3.80.1', 'level': 3, 'orbits': [[3, 1, 2], [3, 24, 1], [3, 54, 1]], 'parents': ['3.40.1'], 'quadratic_twists': ['3.40.1', '3.80.1', '3.80.2']}
64. label: 3.80.2
    {'children': ['3.240.2', '3.320.2', '3.720.5'], 'generators': [[0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1], [0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0]], 'index': 80, 'isogeny_orbits': [[3, 4, 1], [3, 36, 1]], 'label': '3.80.2', 'level': 3, 'orbits': [[3, 2, 1], [3, 24, 1], [3, 27, 2]], 'parents': ['3.40.1'], 'quadratic_twists': ['3.40.1', '3.80.1', '3.80.2']}
65. label: 3.80.3
    {'children': ['3.240.3', '3.320.3', '3.2160.1'], 'generators': [[1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0], [0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2]], 'index': 80, 'isogeny_orbits': [[3, 1, 1], [3, 12, 1], [3, 27, 1]], 'label': '3.80.3', 'level': 3, 'orbits': [[3, 8, 1], [3, 72, 1]], 'parents': ['3.40.2'], 'quadratic_twists': ['3.80.3']}
66. label: 3.80.4
    {'children': ['3.240.4', '3.320.4', '3.2160.2'], 'generators': [[0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0], [0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1]], 'index': 80, 'isogeny_orbits': [[3, 1, 1], [3, 12, 1], [3, 27, 1]], 'label': '3.80.4', 'level': 3, 'orbits': [[3, 8, 1], [3, 72, 1]], 'parents': ['3.40.2'], 'quadratic_twists': ['3.80.4']}
67. label: 3.90.1
    {'children': ['3.270.2', '3.270.3', '3.270.4', '3.360.2'], 'generators': [[1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2], [2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1], [2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2]], 'index': 90, 'isogeny_orbits': [[3, 16, 1], [3, 24, 1]], 'label': '3.90.1', 'level': 3, 'orbits': [[3, 8, 2], [3, 64, 1]], 'parents': ['3.45.1'], 'quadratic_twists': ['3.90.1']}
68. label: 3.90.2
    {'children': ['3.270.5', '3.270.6', '3.1440.1'], 'generators': [[1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1], [1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0]], 'index': 90, 'isogeny_orbits': [[3, 16, 1], [3, 24, 1]], 'label': '3.90.2', 'level': 3, 'orbits': [[3, 16, 1], [3, 64, 1]], 'parents': ['3.45.1'], 'quadratic_twists': ['3.90.2']}
69. label: 3.120.1
    {'children': ['3.240.1', '3.240.2', '3.240.5', '3.240.6', '3.240.7', '3.240.8', '3.1080.6'], 'generators': [[1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1], [2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2], [1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2]], 'index': 120, 'isogeny_orbits': [[3, 4, 1], [3, 36, 1]], 'label': '3.120.1', 'level': 3, 'orbits': [[3, 2, 1], [3, 24, 1], [3, 54, 1]], 'parents': ['3.40.1'], 'quadratic_twists': ['3.120.1', '3.240.1', '3.240.2', '3.240.6', '3.240.7']}
70. label: 3.120.2
    {'children': ['3.240.3', '3.240.4', '3.240.9', '3.240.10', '3.240.11', '3.240.12', '3.360.1', '3.1080.7'], 'generators': [[0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2], [1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0], [2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1]], 'index': 120, 'isogeny_orbits': [[3, 1, 1], [3, 12, 1], [3, 27, 1]], 'label': '3.120.2', 'level': 3, 'orbits': [[3, 8, 1], [3, 72, 1]], 'parents': ['3.40.2'], 'quadratic_twists': ['3.120.2']}
71. label: 3.135.1
    {'children': ['3.270.3', '3.270.5', '3.405.1', '3.540.3'], 'generators': [[0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2], [0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0]], 'index': 135, 'isogeny_orbits': [[3, 16, 1], [3, 24, 1]], 'label': '3.135.1', 'level': 3, 'orbits': [[3, 16, 1], [3, 64, 1]], 'parents': ['3.27.1', '3.45.1'], 'quadratic_twists': ['3.135.1']}
72. label: 3.135.2
    {'children': ['3.270.4', '3.270.6', '3.405.1', '3.540.1'], 'generators': [[1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1], [2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1]], 'index': 135, 'isogeny_orbits': [[3, 8, 1], [3, 16, 2]], 'label': '3.135.2', 'level': 3, 'orbits': [[3, 16, 1], [3, 64, 1]], 'parents': ['3.45.1'], 'quadratic_twists': ['3.135.2']}
73. label: 3.160.1
    {'children': ['3.320.1', '3.320.2', '3.320.3', '3.320.4', '3.320.5', '3.320.6', '3.480.1', '3.480.2'], 'generators': [[0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2], [0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0], [0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0]], 'index': 160, 'isogeny_orbits': [[3, 1, 1], [3, 3, 1], [3, 9, 1], [3, 27, 1]], 'label': '3.160.1', 'level': 3, 'orbits': [[3, 2, 1], [3, 6, 1], [3, 18, 1], [3, 54, 1]], 'parents': ['3.40.1', '3.40.2'], 'quadratic_twists': ['3.160.1', '3.320.1', '3.320.2', '3.320.5', '3.320.6']}
74. label: 3.162.1
    {'children': ['3.810.1', '3.2592.1'], 'generators': [[1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0], [0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0]], 'index': 162, 'isogeny_orbits': [[3, 40, 1]], 'label': '3.162.1', 'level': 3, 'orbits': [[3, 80, 1]], 'parents': ['3.27.1'], 'quadratic_twists': ['3.162.1']}
75. label: 3.216.1
    {'children': ['3.432.2', '3.432.3', '3.1080.8', '3.1296.1', '3.2160.3'], 'generators': [[1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1], [0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0]], 'index': 216, 'isogeny_orbits': [[3, 10, 2], [3, 20, 1]], 'label': '3.216.1', 'level': 3, 'orbits': [[3, 40, 2]], 'parents': ['3.36.1'], 'quadratic_twists': ['3.216.1']}
76. label: 3.216.2
    {'children': ['3.432.1', '3.432.4', '3.1080.2', '3.1296.1', '3.2160.4'], 'generators': [[0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2], [2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1]], 'index': 216, 'isogeny_orbits': [[3, 10, 1], [3, 30, 1]], 'label': '3.216.2', 'level': 3, 'orbits': [[3, 80, 1]], 'parents': ['3.36.1'], 'quadratic_twists': ['3.216.2']}
77. label: 3.240.1
    {'children': ['3.480.3', '3.480.4', '3.2160.5'], 'generators': [[2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0], [0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2]], 'index': 240, 'isogeny_orbits': [[3, 4, 1], [3, 36, 1]], 'label': '3.240.1', 'level': 3, 'orbits': [[3, 1, 2], [3, 24, 1], [3, 54, 1]], 'parents': ['3.80.1', '3.120.1'], 'quadratic_twists': ['3.120.1', '3.240.1', '3.240.2', '3.240.6', '3.240.7']}
78. label: 3.240.2
    {'children': ['3.480.5', '3.480.6', '3.2160.6'], 'generators': [[1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2], [0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0]], 'index': 240, 'isogeny_orbits': [[3, 4, 1], [3, 36, 1]], 'label': '3.240.2', 'level': 3, 'orbits': [[3, 2, 1], [3, 24, 1], [3, 27, 2]], 'parents': ['3.80.2', '3.120.1'], 'quadratic_twists': ['3.120.1', '3.240.1', '3.240.2', '3.240.6', '3.240.7']}
79. label: 3.240.3
    {'children': ['3.480.7', '3.480.8', '3.720.6'], 'generators': [[0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0], [2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0], [1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1]], 'index': 240, 'isogeny_orbits': [[3, 1, 1], [3, 12, 1], [3, 27, 1]], 'label': '3.240.3', 'level': 3, 'orbits': [[3, 8, 1], [3, 72, 1]], 'parents': ['3.80.3', '3.120.2'], 'quadratic_twists': ['3.240.3']}
80. label: 3.240.4
    {'children': ['3.480.9', '3.480.10', '3.720.7', '3.2160.7'], 'generators': [[0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1], [1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2]], 'index': 240, 'isogeny_orbits': [[3, 1, 1], [3, 12, 1], [3, 27, 1]], 'label': '3.240.4', 'level': 3, 'orbits': [[3, 8, 1], [3, 72, 1]], 'parents': ['3.80.4', '3.120.2'], 'quadratic_twists': ['3.240.4']}
81. label: 3.240.5
    {'children': ['3.480.1', '3.480.3', '3.480.5', '3.480.11', '3.2160.8'], 'generators': [[2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0], [0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1], [2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0]], 'index': 240, 'isogeny_orbits': [[3, 2, 2], [3, 18, 2]], 'label': '3.240.5', 'level': 3, 'orbits': [[3, 2, 1], [3, 12, 2], [3, 54, 1]], 'parents': ['3.120.1'], 'quadratic_twists': ['3.240.5', '3.480.3', '3.480.5', '3.480.11']}
82. label: 3.240.6
    {'children': ['3.480.4', '3.480.5', '3.2160.9'], 'generators': [[1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2], [2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2]], 'index': 240, 'isogeny_orbits': [[3, 4, 1], [3, 36, 1]], 'label': '3.240.6', 'level': 3, 'orbits': [[3, 2, 1], [3, 24, 1], [3, 54, 1]], 'parents': ['3.120.1'], 'quadratic_twists': ['3.120.1', '3.240.1', '3.240.2', '3.240.6', '3.240.7']}
83. label: 3.240.7
    {'children': ['3.480.3', '3.480.6', '3.2160.10'], 'generators': [[2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1], [1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2]], 'index': 240, 'isogeny_orbits': [[3, 4, 1], [3, 36, 1]], 'label': '3.240.7', 'level': 3, 'orbits': [[3, 2, 1], [3, 24, 1], [3, 54, 1]], 'parents': ['3.120.1'], 'quadratic_twists': ['3.120.1', '3.240.1', '3.240.2', '3.240.6', '3.240.7']}
84. label: 3.240.8
    {'children': ['3.480.4', '3.480.6', '3.2160.11'], 'generators': [[1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1], [2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0]], 'index': 240, 'isogeny_orbits': [[3, 4, 1], [3, 36, 1]], 'label': '3.240.8', 'level': 3, 'orbits': [[3, 2, 1], [3, 24, 1], [3, 54, 1]], 'parents': ['3.120.1'], 'quadratic_twists': ['3.240.8', '3.480.4', '3.480.6']}
85. label: 3.240.9
    {'children': ['3.480.2', '3.480.7', '3.480.9', '3.480.12', '3.720.1', '3.720.8'], 'generators': [[0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2], [1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1], [0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0]], 'index': 240, 'isogeny_orbits': [[3, 1, 1], [3, 6, 2], [3, 27, 1]], 'label': '3.240.9', 'level': 3, 'orbits': [[3, 4, 2], [3, 36, 2]], 'parents': ['3.120.2'], 'quadratic_twists': ['3.240.9']}
86. label: 3.240.10
    {'children': ['3.480.8', '3.480.10', '3.720.9', '3.2160.12'], 'generators': [[0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1], [0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2]], 'index': 240, 'isogeny_orbits': [[3, 1, 1], [3, 12, 1], [3, 27, 1]], 'label': '3.240.10', 'level': 3, 'orbits': [[3, 8, 1], [3, 72, 1]], 'parents': ['3.120.2'], 'quadratic_twists': ['3.240.10']}
87. label: 3.240.11
    {'children': ['3.480.7', '3.480.10', '3.720.3', '3.2160.13'], 'generators': [[2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1], [1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2]], 'index': 240, 'isogeny_orbits': [[3, 1, 1], [3, 12, 1], [3, 27, 1]], 'label': '3.240.11', 'level': 3, 'orbits': [[3, 8, 1], [3, 72, 1]], 'parents': ['3.120.2'], 'quadratic_twists': ['3.240.11']}
88. label: 3.240.12
    {'children': ['3.480.8', '3.480.9', '3.720.2', '3.2160.14'], 'generators': [[0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0], [1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2]], 'index': 240, 'isogeny_orbits': [[3, 1, 1], [3, 12, 1], [3, 27, 1]], 'label': '3.240.12', 'level': 3, 'orbits': [[3, 8, 1], [3, 72, 1]], 'parents': ['3.120.2'], 'quadratic_twists': ['3.240.12']}
89. label: 3.270.1
    {'children': ['3.540.2', '3.540.3', '3.540.4', '3.540.5', '3.540.6', '3.540.7', '3.810.2', '3.1080.7'], 'generators': [[2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0], [2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1], [1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0]], 'index': 270, 'isogeny_orbits': [[3, 4, 1], [3, 12, 1], [3, 24, 1]], 'label': '3.270.1', 'level': 3, 'orbits': [[3, 32, 1], [3, 48, 1]], 'parents': ['3.27.1'], 'quadratic_twists': ['3.270.1']}
90. label: 3.270.2
    {'children': ['3.540.8', '3.540.9', '3.810.3', '3.1080.6'], 'generators': [[1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1], [2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2]], 'index': 270, 'isogeny_orbits': [[3, 16, 1], [3, 24, 1]], 'label': '3.270.2', 'level': 3, 'orbits': [[3, 8, 2], [3, 64, 1]], 'parents': ['3.90.1'], 'quadratic_twists': ['3.270.2']}
91. label: 3.270.3
    {'children': ['3.810.3', '3.1080.9', '3.1080.10'], 'generators': [[0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1], [2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2]], 'index': 270, 'isogeny_orbits': [[3, 16, 1], [3, 24, 1]], 'label': '3.270.3', 'level': 3, 'orbits': [[3, 8, 2], [3, 64, 1]], 'parents': ['3.90.1', '3.135.1'], 'quadratic_twists': ['3.270.3']}
92. label: 3.270.4
    {'children': ['3.810.3', '3.1080.11', '3.1080.12'], 'generators': [[1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1], [0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2]], 'index': 270, 'isogeny_orbits': [[3, 8, 1], [3, 16, 2]], 'label': '3.270.4', 'level': 3, 'orbits': [[3, 8, 2], [3, 64, 1]], 'parents': ['3.90.1', '3.135.2'], 'quadratic_twists': ['3.270.4']}
93. label: 3.270.5
    {'children': ['3.810.4', '3.1080.13'], 'generators': [[1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1], [2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2]], 'index': 270, 'isogeny_orbits': [[3, 16, 1], [3, 24, 1]], 'label': '3.270.5', 'level': 3, 'orbits': [[3, 16, 1], [3, 64, 1]], 'parents': ['3.90.2', '3.135.1'], 'quadratic_twists': ['3.270.5']}
94. label: 3.270.6
    {'children': ['3.810.4', '3.1080.14'], 'generators': [[1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0], [1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1]], 'index': 270, 'isogeny_orbits': [[3, 8, 1], [3, 16, 2]], 'label': '3.270.6', 'level': 3, 'orbits': [[3, 16, 1], [3, 64, 1]], 'parents': ['3.90.2', '3.135.2'], 'quadratic_twists': ['3.270.6']}
95. label: 3.320.1
    {'children': ['3.640.1', '3.640.2', '3.960.1', '3.960.2'], 'generators': [[2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2], [0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2]], 'index': 320, 'isogeny_orbits': [[3, 1, 1], [3, 3, 1], [3, 9, 1], [3, 27, 1]], 'label': '3.320.1', 'level': 3, 'orbits': [[3, 1, 2], [3, 6, 1], [3, 18, 1], [3, 54, 1]], 'parents': ['3.80.1', '3.160.1'], 'quadratic_twists': ['3.160.1', '3.320.1', '3.320.2', '3.320.5', '3.320.6']}
96. label: 3.320.2
    {'children': ['3.640.3', '3.640.4', '3.960.3', '3.960.4'], 'generators': [[1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0], [0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0]], 'index': 320, 'isogeny_orbits': [[3, 1, 1], [3, 3, 1], [3, 9, 1], [3, 27, 1]], 'label': '3.320.2', 'level': 3, 'orbits': [[3, 2, 1], [3, 6, 1], [3, 18, 1], [3, 27, 2]], 'parents': ['3.80.2', '3.160.1'], 'quadratic_twists': ['3.160.1', '3.320.1', '3.320.2', '3.320.5', '3.320.6']}
97. label: 3.320.3
    {'children': ['3.640.1', '3.640.3', '3.960.5', '3.960.6'], 'generators': [[0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0], [1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0]], 'index': 320, 'isogeny_orbits': [[3, 1, 1], [3, 3, 1], [3, 9, 1], [3, 27, 1]], 'label': '3.320.3', 'level': 3, 'orbits': [[3, 2, 1], [3, 6, 1], [3, 18, 1], [3, 54, 1]], 'parents': ['3.80.3', '3.160.1'], 'quadratic_twists': ['3.320.3', '3.640.1', '3.640.3']}
98. label: 3.320.4
    {'children': ['3.640.2', '3.640.4', '3.960.5', '3.960.7', '3.960.8'], 'generators': [[1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2], [0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1], [1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1]], 'index': 320, 'isogeny_orbits': [[3, 1, 1], [3, 3, 1], [3, 9, 1], [3, 27, 1]], 'label': '3.320.4', 'level': 3, 'orbits': [[3, 2, 1], [3, 6, 1], [3, 18, 1], [3, 54, 1]], 'parents': ['3.80.4', '3.160.1'], 'quadratic_twists': ['3.320.4', '3.640.2', '3.640.4']}
99. label: 3.320.5
    {'children': ['3.640.1', '3.640.4', '3.960.1', '3.960.9'], 'generators': [[0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0], [2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0]], 'index': 320, 'isogeny_orbits': [[3, 1, 1], [3, 3, 1], [3, 9, 1], [3, 27, 1]], 'label': '3.320.5', 'level': 3, 'orbits': [[3, 2, 1], [3, 3, 2], [3, 18, 1], [3, 54, 1]], 'parents': ['3.160.1'], 'quadratic_twists': ['3.160.1', '3.320.1', '3.320.2', '3.320.5', '3.320.6']}