Database - gps_gl2zhat (Open subgroups of GL(2,Zhat) that do not necessarily contain -I)

Formats: - HTML - YAML - JSON - 2026-04-20T08:06:12.065884 - next page

Query: /api/gps_gl2zhat/?_offset=0

Column	Type
CPlabel	text
Emap	text[]
RZBlabel	text
SZlabel	text
Slabel	text
children	text[]
cusps	integer
determinant_label	text
dims	integer[]
gassmann_class	text[]
generators	integer[]
genus	integer
index	integer
isogeny_orbits	integer[]
jmap	text
kummer_orbits	integer[]
label	text
level	integer
missing_children	boolean
model	text
newforms	text[]
obstructions	integer[]
orbits	integer[]
parents	text[]
quadratic_twists	text[]
rank	integer
rational_cusps	integer
reductions	text[]
scalar_label	text

0. label: 1.1.0.1
   {'CPlabel': '1A0', 'Emap': [], 'RZBlabel': '', 'SZlabel': '1A0-1a', 'Slabel': 'G', 'children': ['2.2.0.1', '2.3.0.1', '3.3.0.1', '3.4.0.1', '4.2.0.1', '4.4.0.1', '5.5.0.1', '5.6.0.1', '5.10.0.1', '7.8.0.1', '7.21.0.1', '7.28.0.1', '8.2.0.1', '8.2.0.2', '9.27.0.1', '11.12.1.1', '11.55.1.1', '13.14.0.1', '13.91.3.2', '17.18.1.1', '17.136.6.1', '19.171.8.1', '23.253.13.1', '29.406.24.1', '31.465.28.1', '37.38.2.1', '37.666.43.1'], 'cusps': 1, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['1.1.0.1'], 'generators': [], 'genus': 0, 'index': 1, 'isogeny_orbits': [], 'jmap': 't', 'kummer_orbits': [], 'label': '1.1.0.1', 'level': 1, 'missing_children': False, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [], 'parents': [], 'quadratic_twists': ['1.1.0.1'], 'rank': -1, 'rational_cusps': 1, 'reductions': [], 'scalar_label': '1.1.1'}
1. label: 2.2.0.1
   {'CPlabel': '2A0', 'Emap': [], 'RZBlabel': 'X2', 'SZlabel': '2A0-2a', 'Slabel': '2Cn', 'children': ['2.6.0.1', '4.4.0.2', '8.4.0.1'], 'cusps': 1, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['2.2.0.1'], 'generators': [[1, 1, 1, 0]], 'genus': 0, 'index': 2, 'isogeny_orbits': [[2, 3, 1]], 'jmap': 't^2+1728', 'kummer_orbits': [[2, 3, 1]], 'label': '2.2.0.1', 'level': 2, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 3, 1]], 'parents': ['1.1.0.1'], 'quadratic_twists': ['2.2.0.1', '4.4.0.2', '8.4.0.1'], 'rank': -1, 'rational_cusps': 1, 'reductions': [], 'scalar_label': '1.1.1'}
2. label: 2.3.0.1
   {'CPlabel': '2B0', 'Emap': [], 'RZBlabel': 'X6', 'SZlabel': '2B0-2a', 'Slabel': '2B', 'children': ['2.6.0.1', '4.6.0.1', '4.6.0.2', '4.6.0.3', '4.6.0.4', '4.6.0.5', '8.6.0.1', '8.6.0.2', '8.6.0.3', '8.6.0.4', '8.6.0.5', '8.6.0.6'], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['2.3.0.1'], 'generators': [[1, 1, 0, 1]], 'genus': 0, 'index': 3, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1]], 'jmap': '(-t^3+768*t^2-196608*t+16777216)/t^2', 'kummer_orbits': [[2, 1, 1], [2, 2, 1]], 'label': '2.3.0.1', 'level': 2, 'missing_children': False, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1]], 'parents': ['1.1.0.1'], 'quadratic_twists': ['2.3.0.1'], 'rank': -1, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '1.1.1'}
3. label: 2.6.0.1
   {'CPlabel': '2C0', 'Emap': [], 'RZBlabel': 'X8', 'SZlabel': '2C0-2a', 'Slabel': '2Cs', 'children': ['4.12.0.1', '4.12.0.2', '4.12.0.3', '4.12.0.4', '8.12.0.1', '8.12.0.2', '8.12.0.3', '8.12.0.4'], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['2.6.0.1'], 'generators': [], 'genus': 0, 'index': 6, 'isogeny_orbits': [[2, 1, 3]], 'jmap': '(t^6+576*t^4+110592*t^2+7077888)/(t^4-128*t^2+4096)', 'kummer_orbits': [[2, 1, 3]], 'label': '2.6.0.1', 'level': 2, 'missing_children': False, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 3]], 'parents': ['2.2.0.1', '2.3.0.1'], 'quadratic_twists': ['2.6.0.1', '4.12.0.1', '4.12.0.2', '8.12.0.1', '8.12.0.2'], 'rank': -1, 'rational_cusps': 3, 'reductions': [], 'scalar_label': '1.1.1'}
4. label: 3.3.0.1
   {'CPlabel': '3A0', 'Emap': [], 'RZBlabel': '', 'SZlabel': '3A0-3a', 'Slabel': '3Nn', 'children': ['3.6.0.1', '9.9.0.1', '9.27.0.2'], 'cusps': 1, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['3.3.0.1'], 'generators': [[1, 0, 0, 2], [2, 2, 1, 2]], 'genus': 0, 'index': 3, 'isogeny_orbits': [[3, 4, 1]], 'jmap': 't^3', 'kummer_orbits': [[3, 4, 1]], 'label': '3.3.0.1', 'level': 3, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[3, 8, 1]], 'parents': ['1.1.0.1'], 'quadratic_twists': ['3.3.0.1'], 'rank': -1, 'rational_cusps': 1, 'reductions': [], 'scalar_label': '1.1.1'}
5. label: 3.4.0.1
   {'CPlabel': '3B0', 'Emap': [], 'RZBlabel': '', 'SZlabel': '3B0-3a', 'Slabel': '3B', 'children': ['3.8.0.1', '3.8.0.2', '3.12.0.1', '9.12.0.1', '9.12.0.2'], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['3.4.0.1'], 'generators': [[2, 0, 0, 1], [1, 2, 0, 2]], 'genus': 0, 'index': 4, 'isogeny_orbits': [[3, 1, 1], [3, 3, 1]], 'jmap': '(t^4+36*t^3+270*t^2+756*t+729)/t', 'kummer_orbits': [[3, 1, 1], [3, 3, 1]], 'label': '3.4.0.1', 'level': 3, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[3, 2, 1], [3, 6, 1]], 'parents': ['1.1.0.1'], 'quadratic_twists': ['3.4.0.1', '3.8.0.1', '3.8.0.2'], 'rank': -1, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '1.1.1'}
6. label: 3.6.0.1
   {'CPlabel': '3C0', 'Emap': [], 'RZBlabel': '', 'SZlabel': '3C0-3a', 'Slabel': '3Ns', 'children': ['3.12.0.1', '9.18.0.1', '9.18.0.2'], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['3.6.0.1'], 'generators': [[1, 0, 0, 2], [0, 2, 1, 0]], 'genus': 0, 'index': 6, 'isogeny_orbits': [[3, 2, 2]], 'jmap': '(t^6-18*t^5+27*t^4+756*t^3-729*t^2-13122*t-19683)/t^3', 'kummer_orbits': [[3, 2, 2]], 'label': '3.6.0.1', 'level': 3, 'missing_children': False, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[3, 4, 2]], 'parents': ['3.3.0.1'], 'quadratic_twists': ['3.6.0.1'], 'rank': -1, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '1.1.1'}
7. label: 3.8.0.1
   {'CPlabel': '3B0', 'Emap': ['-27*t^4-1944*t^3-46656*t^2-373248*t', '54*t^6+5832*t^5+244944*t^4+4852224*t^3+40310784*t^2-1289945088'], 'RZBlabel': '', 'SZlabel': '', 'Slabel': '3B.1.1', 'children': ['3.24.0.1', '9.24.0.1', '9.24.0.2'], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['3.8.0.1', '3.8.0.2'], 'generators': [[1, 0, 0, 2], [1, 2, 0, 1]], 'genus': 0, 'index': 8, 'isogeny_orbits': [[3, 1, 1], [3, 3, 1]], 'jmap': '0', 'kummer_orbits': [[3, 1, 1], [3, 3, 1]], 'label': '3.8.0.1', 'level': 3, 'missing_children': True, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[3, 1, 2], [3, 6, 1]], 'parents': ['3.4.0.1'], 'quadratic_twists': ['3.4.0.1', '3.8.0.1', '3.8.0.2'], 'rank': -1, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '3.2.1'}
8. label: 3.8.0.2
   {'CPlabel': '3B0', 'Emap': ['-3*t^4-216*t^3-5184*t^2-41472*t', '-2*t^6-216*t^5-9072*t^4-179712*t^3-1492992*t^2+47775744'], 'RZBlabel': '', 'SZlabel': '', 'Slabel': '3B.1.2', 'children': ['3.24.0.1', '9.24.0.3', '9.24.0.4'], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['3.8.0.1', '3.8.0.2'], 'generators': [[1, 1, 0, 1], [2, 1, 0, 1]], 'genus': 0, 'index': 8, 'isogeny_orbits': [[3, 1, 1], [3, 3, 1]], 'jmap': '0', 'kummer_orbits': [[3, 1, 1], [3, 3, 1]], 'label': '3.8.0.2', 'level': 3, 'missing_children': True, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[3, 2, 1], [3, 3, 2]], 'parents': ['3.4.0.1'], 'quadratic_twists': ['3.4.0.1', '3.8.0.1', '3.8.0.2'], 'rank': -1, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '3.2.1'}
9. label: 3.12.0.1
   {'CPlabel': '3D0', 'Emap': [], 'RZBlabel': '', 'SZlabel': '3D0-3a', 'Slabel': '3Cs', 'children': ['3.24.0.1', '9.36.0.1', '9.36.0.2', '9.36.0.3'], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['3.12.0.1'], 'generators': [[2, 0, 0, 1], [2, 0, 0, 2]], 'genus': 0, 'index': 12, 'isogeny_orbits': [[3, 1, 2], [3, 2, 1]], 'jmap': '(t^12+648*t^9+139968*t^6+10077696*t^3)/(t^9-81*t^6+2187*t^3-19683)', 'kummer_orbits': [[3, 1, 2], [3, 2, 1]], 'label': '3.12.0.1', 'level': 3, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[3, 2, 2], [3, 4, 1]], 'parents': ['3.4.0.1', '3.6.0.1'], 'quadratic_twists': ['3.12.0.1', '3.24.0.1'], 'rank': -1, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '1.1.1'}
10. label: 3.24.0.1
    {'CPlabel': '3D0', 'Emap': ['-3*t^4-36*t^3-162*t^2-972*t-2187', '-2*t^6-36*t^5-270*t^4+7290*t^2+26244*t+39366'], 'RZBlabel': '', 'SZlabel': '', 'Slabel': '3Cs.1.1', 'children': ['9.72.0.1', '9.72.0.2', '9.72.0.3', '9.72.0.4'], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['3.24.0.1'], 'generators': [[2, 0, 0, 1]], 'genus': 0, 'index': 24, 'isogeny_orbits': [[3, 1, 2], [3, 2, 1]], 'jmap': '0', 'kummer_orbits': [[3, 1, 2], [3, 2, 1]], 'label': '3.24.0.1', 'level': 3, 'missing_children': True, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[3, 1, 2], [3, 2, 3]], 'parents': ['3.8.0.1', '3.8.0.2', '3.12.0.1'], 'quadratic_twists': ['3.12.0.1', '3.24.0.1'], 'rank': -1, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '3.2.1'}
11. label: 4.2.0.1
    {'CPlabel': '2A0', 'Emap': [], 'RZBlabel': 'X3', 'SZlabel': '2A0-4a', 'Slabel': '2G', 'children': ['4.4.0.3', '4.6.0.5', '4.8.0.2', '8.4.0.2'], 'cusps': 1, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.2.0.1'], 'generators': [[1, 3, 1, 0], [2, 3, 3, 2]], 'genus': 0, 'index': 2, 'isogeny_orbits': [[2, 3, 1], [4, 6, 1]], 'jmap': '-t^2+1728', 'kummer_orbits': [[2, 3, 1], [4, 6, 1]], 'label': '4.2.0.1', 'level': 4, 'missing_children': False, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 3, 1], [4, 12, 1]], 'parents': ['1.1.0.1'], 'quadratic_twists': ['4.2.0.1', '4.4.0.3', '8.4.0.2'], 'rank': -1, 'rational_cusps': 1, 'reductions': ['1.1.0.1'], 'scalar_label': '1.1.1'}
12. label: 4.4.0.1
    {'CPlabel': '4A0', 'Emap': [], 'RZBlabel': 'X7', 'SZlabel': '4A0-4a', 'Slabel': '2G', 'children': ['4.8.0.2', '4.12.0.5', '8.8.0.1', '8.16.0.1'], 'cusps': 1, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.4.0.1'], 'generators': [[3, 1, 0, 1], [0, 1, 3, 0]], 'genus': 0, 'index': 4, 'isogeny_orbits': [[2, 3, 1], [4, 6, 1]], 'jmap': '-4*t^4+32*t^3', 'kummer_orbits': [[2, 3, 1], [4, 6, 1]], 'label': '4.4.0.1', 'level': 4, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 3, 1], [4, 12, 1]], 'parents': ['1.1.0.1'], 'quadratic_twists': ['4.4.0.1'], 'rank': -1, 'rational_cusps': 1, 'reductions': ['1.1.0.1'], 'scalar_label': '1.1.1'}
13. label: 4.4.0.2
    {'CPlabel': '2A0', 'Emap': ['-27*t^6-139968*t^4-241864704*t^2-139314069504', '54*t^9+373248*t^7+967458816*t^5+1114512556032*t^3+481469424205824*t'], 'RZBlabel': 'X2a', 'SZlabel': '', 'Slabel': '2Cn', 'children': ['4.12.0.2'], 'cusps': 1, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.4.0.2'], 'generators': [[1, 0, 0, 3], [3, 1, 3, 0]], 'genus': 0, 'index': 4, 'isogeny_orbits': [[2, 3, 1], [4, 6, 1]], 'jmap': '0', 'kummer_orbits': [[2, 3, 1], [4, 6, 1]], 'label': '4.4.0.2', 'level': 4, 'missing_children': True, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[2, 3, 1], [4, 12, 1]], 'parents': ['2.2.0.1'], 'quadratic_twists': ['2.2.0.1', '4.4.0.2', '8.4.0.1'], 'rank': -1, 'rational_cusps': 1, 'reductions': ['2.2.0.1'], 'scalar_label': '4.2.1'}
14. label: 4.4.0.3
    {'CPlabel': '2A0', 'Emap': ['-108*t^6+559872*t^4-967458816*t^2+557256278016', '432*t^9-2985984*t^7+7739670528*t^5-8916100448256*t^3+3851755393646592*t'], 'RZBlabel': 'X3a', 'SZlabel': '', 'Slabel': '2G', 'children': ['4.12.0.6', '4.16.0.2'], 'cusps': 1, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.4.0.3'], 'generators': [[2, 3, 3, 1], [0, 1, 1, 0]], 'genus': 0, 'index': 4, 'isogeny_orbits': [[2, 3, 1], [4, 6, 1]], 'jmap': '0', 'kummer_orbits': [[2, 3, 1], [4, 6, 1]], 'label': '4.4.0.3', 'level': 4, 'missing_children': False, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[2, 3, 1], [4, 12, 1]], 'parents': ['4.2.0.1'], 'quadratic_twists': ['4.2.0.1', '4.4.0.3', '8.4.0.2'], 'rank': -1, 'rational_cusps': 1, 'reductions': ['1.1.0.1'], 'scalar_label': '4.2.1'}
15. label: 4.6.0.1
    {'CPlabel': '4B0', 'Emap': [], 'RZBlabel': 'X13', 'SZlabel': '4B0-4b', 'Slabel': '2B', 'children': ['4.12.0.3', '4.12.0.7', '4.12.0.8', '4.12.0.9', '8.12.0.5', '8.12.0.6', '8.12.0.7', '8.12.0.8', '8.12.0.9', '8.12.0.10', '8.12.0.11', '8.12.0.12', '8.12.0.13', '8.12.0.14', '8.12.0.15', '8.12.0.16'], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.6.0.1'], 'generators': [[1, 3, 0, 3], [3, 0, 0, 3], [1, 3, 0, 1]], 'genus': 0, 'index': 6, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1]], 'jmap': '(t^6+48*t^5+816*t^4+5632*t^3+13056*t^2+12288*t+4096)/(t^2+16*t)', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1]], 'label': '4.6.0.1', 'level': 4, 'missing_children': False, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1]], 'parents': ['2.3.0.1'], 'quadratic_twists': ['4.6.0.1', '4.12.0.7', '4.12.0.8', '8.12.0.6', '8.12.0.7', '8.12.0.8', '8.12.0.12', '8.12.0.13', '8.12.0.14'], 'rank': -1, 'rational_cusps': 3, 'reductions': ['2.3.0.1'], 'scalar_label': '1.1.1'}
16. label: 4.6.0.2
    {'CPlabel': '4C0', 'Emap': [], 'RZBlabel': 'X12', 'SZlabel': '4C0-4b', 'Slabel': '2B', 'children': ['4.12.0.3', '8.12.0.17', '8.12.0.18', '8.12.0.19'], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.6.0.2'], 'generators': [[3, 0, 0, 1], [1, 1, 2, 1]], 'genus': 0, 'index': 6, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1]], 'jmap': '(t^6+768*t^4+196608*t^2+16777216)/t^4', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1]], 'label': '4.6.0.2', 'level': 4, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1]], 'parents': ['2.3.0.1'], 'quadratic_twists': ['4.6.0.2'], 'rank': -1, 'rational_cusps': 2, 'reductions': ['2.3.0.1'], 'scalar_label': '1.1.1'}
17. label: 4.6.0.3
    {'CPlabel': '4B0', 'Emap': [], 'RZBlabel': 'X9', 'SZlabel': '4B0-4a', 'Slabel': '2B', 'children': ['4.12.0.4', '8.12.0.21', '8.12.0.22', '8.12.0.23', '8.12.0.24', '8.12.0.26'], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.6.0.3'], 'generators': [[1, 3, 2, 1], [1, 1, 0, 1]], 'genus': 0, 'index': 6, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1]], 'jmap': '(256*t^6+2304*t^4+6912*t^2+6912)/(t^2+4)', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1]], 'label': '4.6.0.3', 'level': 4, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1]], 'parents': ['2.3.0.1'], 'quadratic_twists': ['4.6.0.3', '8.12.0.21', '8.12.0.22', '8.12.0.23', '8.12.0.24'], 'rank': -1, 'rational_cusps': 1, 'reductions': ['2.3.0.1'], 'scalar_label': '1.1.1'}
18. label: 4.6.0.4
    {'CPlabel': '4C0', 'Emap': [], 'RZBlabel': 'X11', 'SZlabel': '4C0-4a', 'Slabel': '2B', 'children': ['4.12.0.4', '4.12.0.5', '4.12.0.9', '4.12.0.11', '8.12.0.27', '8.12.0.28', '8.12.0.29', '8.12.0.30', '8.12.0.31', '8.12.0.32', '8.12.0.33', '8.12.0.34', '8.12.0.35', '8.12.0.36'], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.6.0.4'], 'generators': [[1, 3, 0, 3], [1, 0, 2, 3], [3, 2, 0, 3]], 'genus': 0, 'index': 6, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1]], 'jmap': '(-t^6+768*t^4-196608*t^2+16777216)/t^4', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1]], 'label': '4.6.0.4', 'level': 4, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1]], 'parents': ['2.3.0.1'], 'quadratic_twists': ['4.6.0.4'], 'rank': -1, 'rational_cusps': 2, 'reductions': ['2.3.0.1'], 'scalar_label': '1.1.1'}
19. label: 4.6.0.5
    {'CPlabel': '2C0', 'Emap': [], 'RZBlabel': 'X10', 'SZlabel': '2C0-4a', 'Slabel': '2B', 'children': ['4.12.0.6', '4.12.0.9', '4.12.0.12', '8.12.0.37', '8.12.0.38', '8.12.0.39'], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.6.0.5'], 'generators': [[3, 0, 2, 3], [3, 2, 2, 3], [2, 3, 3, 2]], 'genus': 0, 'index': 6, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1]], 'jmap': '(-64*t^6+576*t^4-1728*t^2+1728)/(t^4+2*t^2+1)', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1]], 'label': '4.6.0.5', 'level': 4, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1]], 'parents': ['2.3.0.1', '4.2.0.1'], 'quadratic_twists': ['4.6.0.5', '4.12.0.6', '4.12.0.12', '8.12.0.37', '8.12.0.38'], 'rank': -1, 'rational_cusps': 1, 'reductions': ['2.3.0.1'], 'scalar_label': '1.1.1'}
20. label: 4.8.0.2
    {'CPlabel': '4D0', 'Emap': [], 'RZBlabel': 'X20', 'SZlabel': '4D0-4a', 'Slabel': '2G', 'children': ['4.16.0.2', '4.24.0.2', '8.16.0.3'], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.8.0.2'], 'generators': [[0, 3, 3, 0], [0, 1, 3, 1]], 'genus': 0, 'index': 8, 'isogeny_orbits': [[2, 3, 1], [4, 3, 2]], 'jmap': '(-4*t^8-64*t^7-256*t^6-128*t^5+736*t^4+256*t^3-1024*t^2+512*t-64)/t^4', 'kummer_orbits': [[2, 3, 1], [4, 3, 2]], 'label': '4.8.0.2', 'level': 4, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 3, 1], [4, 6, 2]], 'parents': ['4.2.0.1', '4.4.0.1'], 'quadratic_twists': ['4.8.0.2', '4.16.0.2', '8.16.0.3'], 'rank': -1, 'rational_cusps': 2, 'reductions': ['1.1.0.1'], 'scalar_label': '1.1.1'}
21. label: 4.12.0.1
    {'CPlabel': '2C0', 'Emap': ['-108*t^2-324', '432*t^3-3888*t'], 'RZBlabel': 'X8d', 'SZlabel': '', 'Slabel': '2Cs', 'children': ['4.24.0.3', '4.24.0.4', '4.24.0.5', '4.24.0.6', '4.24.0.7', '8.24.0.1', '8.24.0.2', '8.24.0.3', '8.24.0.4', '8.24.0.5', '8.24.0.6'], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.12.0.1'], 'generators': [[3, 0, 0, 1], [3, 0, 2, 3], [1, 2, 0, 1]], 'genus': 0, 'index': 12, 'isogeny_orbits': [[2, 1, 3], [4, 2, 3]], 'jmap': '0', 'kummer_orbits': [[2, 1, 3], [4, 2, 3]], 'label': '4.12.0.1', 'level': 4, 'missing_children': False, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 3], [4, 2, 2], [4, 4, 2]], 'parents': ['2.6.0.1'], 'quadratic_twists': ['2.6.0.1', '4.12.0.1', '4.12.0.2', '8.12.0.1', '8.12.0.2'], 'rank': -1, 'rational_cusps': 3, 'reductions': ['2.6.0.1'], 'scalar_label': '4.2.1'}
22. label: 4.12.0.2
    {'CPlabel': '2C0', 'Emap': ['-108*t^6-108*t^4+540*t^2-324', '432*t^9-5184*t^7+12960*t^5-12096*t^3+3888*t'], 'RZBlabel': 'X8b', 'SZlabel': '', 'Slabel': '2Cs', 'children': ['4.24.0.3', '4.24.0.4', '8.24.0.7', '8.24.0.8'], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.12.0.2'], 'generators': [[3, 0, 0, 1], [3, 0, 2, 3], [1, 2, 2, 1]], 'genus': 0, 'index': 12, 'isogeny_orbits': [[2, 1, 3], [4, 2, 3]], 'jmap': '0', 'kummer_orbits': [[2, 1, 3], [4, 2, 3]], 'label': '4.12.0.2', 'level': 4, 'missing_children': False, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 3], [4, 4, 3]], 'parents': ['2.6.0.1', '4.4.0.2'], 'quadratic_twists': ['2.6.0.1', '4.12.0.1', '4.12.0.2', '8.12.0.1', '8.12.0.2'], 'rank': -1, 'rational_cusps': 3, 'reductions': ['2.6.0.1'], 'scalar_label': '4.2.1'}
23. label: 4.12.0.3
    {'CPlabel': '4E0', 'Emap': [], 'RZBlabel': 'X25', 'SZlabel': '4E0-4c', 'Slabel': '2Cs', 'children': ['4.24.0.3', '4.24.0.5', '4.24.0.6', '4.24.0.8', '8.24.0.9', '8.24.0.10', '8.24.0.11', '8.24.0.12', '8.24.0.13', '8.24.0.14', '8.24.0.15', '8.24.0.16', '8.24.0.17', '8.24.0.18', '8.24.0.19', '8.24.0.20', '8.24.0.21', '8.24.0.22', '8.24.0.23', '8.24.0.24', '8.24.0.25', '8.24.0.26'], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.12.0.3'], 'generators': [[1, 0, 0, 3], [1, 2, 0, 1], [3, 2, 0, 3]], 'genus': 0, 'index': 12, 'isogeny_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2]], 'jmap': '(16*t^12+672*t^10+9456*t^8+45248*t^6+9456*t^4+672*t^2+16)/(t^10-4*t^8+6*t^6-4*t^4+t^2)', 'kummer_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2]], 'label': '4.12.0.3', 'level': 4, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 3], [4, 2, 2], [4, 4, 2]], 'parents': ['2.6.0.1', '4.6.0.1', '4.6.0.2'], 'quadratic_twists': ['4.12.0.3', '4.24.0.3', '4.24.0.5', '4.24.0.6', '8.24.0.9', '8.24.0.11', '8.24.0.12', '8.24.0.14', '8.24.0.16', '8.24.0.17', '8.24.0.19', '8.24.0.20', '8.24.0.21', '8.24.0.24', '8.24.0.26'], 'rank': -1, 'rational_cusps': 4, 'reductions': ['2.6.0.1'], 'scalar_label': '1.1.1'}
24. label: 4.12.0.4
    {'CPlabel': '4E0', 'Emap': [], 'RZBlabel': 'X24', 'SZlabel': '4E0-4b', 'Slabel': '2Cs', 'children': ['4.24.0.4', '4.24.0.7', '4.24.0.8', '8.24.0.27', '8.24.0.28', '8.24.0.29', '8.24.0.30', '8.24.0.31', '8.24.0.33', '8.24.0.34', '8.24.0.35', '8.24.0.36'], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.12.0.4'], 'generators': [[3, 0, 2, 3], [3, 2, 0, 1], [3, 2, 2, 1]], 'genus': 0, 'index': 12, 'isogeny_orbits': [[2, 1, 3], [4, 2, 3]], 'jmap': '(256*t^12+768*t^10+1536*t^8+1792*t^6+1536*t^4+768*t^2+256)/(t^8+2*t^6+t^4)', 'kummer_orbits': [[2, 1, 3], [4, 2, 3]], 'label': '4.12.0.4', 'level': 4, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 3], [4, 4, 3]], 'parents': ['2.6.0.1', '4.6.0.3', '4.6.0.4'], 'quadratic_twists': ['4.12.0.4', '4.24.0.4', '4.24.0.7', '8.24.0.27', '8.24.0.28', '8.24.0.29', '8.24.0.30', '8.24.0.33', '8.24.0.34'], 'rank': -1, 'rational_cusps': 2, 'reductions': ['2.6.0.1'], 'scalar_label': '1.1.1'}
25. label: 4.12.0.5
    {'CPlabel': '4F0', 'Emap': [], 'RZBlabel': 'X26', 'SZlabel': '4F0-4b', 'Slabel': '2B', 'children': ['4.24.0.2', '8.24.0.37', '8.24.0.39', '8.24.0.41'], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.12.0.5'], 'generators': [[1, 2, 2, 3], [3, 3, 2, 1]], 'genus': 0, 'index': 12, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1]], 'jmap': '(-64*t^12-384*t^10-192*t^8+1792*t^6+576*t^4-3456*t^2+1728)/(t^8+4*t^6+6*t^4+4*t^2+1)', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1]], 'label': '4.12.0.5', 'level': 4, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1]], 'parents': ['4.4.0.1', '4.6.0.4'], 'quadratic_twists': ['4.12.0.5'], 'rank': -1, 'rational_cusps': 1, 'reductions': ['2.3.0.1'], 'scalar_label': '1.1.1'}
26. label: 4.12.0.6
    {'CPlabel': '2C0', 'Emap': ['81*t^8+135*t^6+27*t^4-27*t^2', '486*t^11+1512*t^9+1620*t^7+648*t^5+54*t^3'], 'RZBlabel': 'X10b', 'SZlabel': '', 'Slabel': '2B', 'children': ['4.24.0.9', '8.24.0.43'], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.12.0.6'], 'generators': [[1, 1, 2, 1], [1, 3, 0, 3]], 'genus': 0, 'index': 12, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1]], 'jmap': '0', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1]], 'label': '4.12.0.6', 'level': 4, 'missing_children': True, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1]], 'parents': ['4.4.0.3', '4.6.0.5'], 'quadratic_twists': ['4.6.0.5', '4.12.0.6', '4.12.0.12', '8.12.0.37', '8.12.0.38'], 'rank': -1, 'rational_cusps': 1, 'reductions': ['2.3.0.1'], 'scalar_label': '4.2.1'}
27. label: 4.12.0.7
    {'CPlabel': '4B0', 'Emap': ['-27*t^4+432*t^3-432*t^2-20736*t+82944', '54*t^6-1296*t^5+6480*t^4+65664*t^3-746496*t^2+1990656*t'], 'RZBlabel': 'X13h', 'SZlabel': '', 'Slabel': '2B', 'children': ['4.24.0.5', '4.24.0.11', '8.24.0.45', '8.24.0.46', '8.24.0.47', '8.24.0.48', '8.24.0.49', '8.24.0.50', '8.24.0.51', '8.24.0.52', '8.24.0.53', '8.24.0.54'], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.12.0.7', '4.12.0.8'], 'generators': [[1, 0, 0, 3], [1, 3, 0, 3]], 'genus': 0, 'index': 12, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1]], 'jmap': '0', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1]], 'label': '4.12.0.7', 'level': 4, 'missing_children': False, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 2, 1], [4, 8, 1]], 'parents': ['4.6.0.1'], 'quadratic_twists': ['4.6.0.1', '4.12.0.7', '4.12.0.8', '8.12.0.6', '8.12.0.7', '8.12.0.8', '8.12.0.12', '8.12.0.13', '8.12.0.14'], 'rank': -1, 'rational_cusps': 3, 'reductions': ['2.3.0.1'], 'scalar_label': '4.2.1'}
28. label: 4.12.0.8
    {'CPlabel': '4B0', 'Emap': ['-27*t^4+432*t^3-432*t^2-20736*t+82944', '-54*t^6+1296*t^5-6480*t^4-65664*t^3+746496*t^2-1990656*t'], 'RZBlabel': 'X13f', 'SZlabel': '', 'Slabel': '2B', 'children': ['4.24.0.6', '4.24.0.11', '8.24.0.55', '8.24.0.56', '8.24.0.57', '8.24.0.58', '8.24.0.59', '8.24.0.60', '8.24.0.61', '8.24.0.62', '8.24.0.63', '8.24.0.64'], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.12.0.7', '4.12.0.8'], 'generators': [[3, 0, 0, 1], [1, 1, 0, 1]], 'genus': 0, 'index': 12, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1]], 'jmap': '0', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1]], 'label': '4.12.0.8', 'level': 4, 'missing_children': False, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 4, 2]], 'parents': ['4.6.0.1'], 'quadratic_twists': ['4.6.0.1', '4.12.0.7', '4.12.0.8', '8.12.0.6', '8.12.0.7', '8.12.0.8', '8.12.0.12', '8.12.0.13', '8.12.0.14'], 'rank': -1, 'rational_cusps': 3, 'reductions': ['2.3.0.1'], 'scalar_label': '4.2.1'}
29. label: 4.12.0.9
    {'CPlabel': '4E0', 'Emap': [], 'RZBlabel': 'X27', 'SZlabel': '4E0-4a', 'Slabel': '2B', 'children': ['4.24.0.2', '4.24.0.9', '4.24.0.11', '8.24.0.65', '8.24.0.66', '8.24.0.67', '8.24.0.68', '8.24.0.69', '8.24.0.70', '8.24.0.73', '8.24.0.74', '8.24.0.75'], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.12.0.9'], 'generators': [[3, 3, 0, 1], [1, 2, 0, 1], [3, 2, 0, 3]], 'genus': 0, 'index': 12, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1]], 'jmap': '(-16*t^12+672*t^10-9456*t^8+45248*t^6-9456*t^4+672*t^2-16)/(t^10+4*t^8+6*t^6+4*t^4+t^2)', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1]], 'label': '4.12.0.9', 'level': 4, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1]], 'parents': ['4.6.0.1', '4.6.0.4', '4.6.0.5'], 'quadratic_twists': ['4.12.0.9', '4.24.0.9', '4.24.0.11', '8.24.0.65', '8.24.0.66', '8.24.0.68', '8.24.0.69', '8.24.0.73', '8.24.0.75'], 'rank': -1, 'rational_cusps': 2, 'reductions': ['2.3.0.1'], 'scalar_label': '1.1.1'}
30. label: 4.12.0.11
    {'CPlabel': '4F0', 'Emap': [], 'RZBlabel': 'X23', 'SZlabel': '4F0-4a', 'Slabel': '2B', 'children': ['4.24.0.2', '4.24.0.8', '8.24.0.79', '8.24.0.80', '8.24.0.81', '8.24.0.82', '8.24.0.83', '8.24.0.84'], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.12.0.11'], 'generators': [[3, 0, 0, 1], [0, 3, 1, 0]], 'genus': 0, 'index': 12, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 3]], 'jmap': '(-64*t^12+384*t^10-192*t^8-1792*t^6+576*t^4+3456*t^2+1728)/(t^8-4*t^6+6*t^4-4*t^2+1)', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 3]], 'label': '4.12.0.11', 'level': 4, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 3]], 'parents': ['4.6.0.4'], 'quadratic_twists': ['4.12.0.11'], 'rank': -1, 'rational_cusps': 3, 'reductions': ['2.3.0.1'], 'scalar_label': '1.1.1'}
31. label: 4.12.0.12
    {'CPlabel': '2C0', 'Emap': ['81*t^4-27*t^2', '486*t^5+54*t^3'], 'RZBlabel': 'X10d', 'SZlabel': '', 'Slabel': '2B', 'children': ['4.24.0.9', '8.24.0.85'], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.12.0.12'], 'generators': [[3, 1, 0, 1], [3, 1, 2, 3]], 'genus': 0, 'index': 12, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1]], 'jmap': '0', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1]], 'label': '4.12.0.12', 'level': 4, 'missing_children': True, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 3]], 'parents': ['4.6.0.5'], 'quadratic_twists': ['4.6.0.5', '4.12.0.6', '4.12.0.12', '8.12.0.37', '8.12.0.38'], 'rank': -1, 'rational_cusps': 1, 'reductions': ['2.3.0.1'], 'scalar_label': '4.2.1'}
32. label: 4.16.0.2
    {'CPlabel': '4D0', 'Emap': ['-27*t^8+648*t^7-4212*t^6-2376*t^5+60102*t^4+79704*t^3-105732*t^2-235224*t-107811', '54*t^12-1944*t^11+24300*t^10-97848*t^9-251262*t^8+1722384*t^7+4821768*t^6-8697456*t^5-64323558*t^4-140447736*t^3-157012020*t^2-90561240*t-21346578'], 'RZBlabel': 'X20b', 'SZlabel': '', 'Slabel': '2G', 'children': ['4.48.0.2'], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.16.0.2'], 'generators': [[0, 1, 1, 0], [3, 3, 1, 0]], 'genus': 0, 'index': 16, 'isogeny_orbits': [[2, 3, 1], [4, 3, 2]], 'jmap': '0', 'kummer_orbits': [[2, 3, 1], [4, 3, 2]], 'label': '4.16.0.2', 'level': 4, 'missing_children': True, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[2, 3, 1], [4, 3, 2], [4, 6, 1]], 'parents': ['4.4.0.3', '4.8.0.2'], 'quadratic_twists': ['4.8.0.2', '4.16.0.2', '8.16.0.3'], 'rank': -1, 'rational_cusps': 2, 'reductions': ['1.1.0.1'], 'scalar_label': '4.2.1'}
33. label: 4.24.0.2
    {'CPlabel': '4G0', 'Emap': [], 'RZBlabel': 'X60', 'SZlabel': '4G0-4b', 'Slabel': '2B', 'children': ['4.48.0.2', '8.48.0.4', '8.48.0.5', '8.48.0.6'], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.24.0.2'], 'generators': [[3, 3, 0, 1], [3, 0, 0, 3]], 'genus': 0, 'index': 24, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 2, 2]], 'jmap': '(-4*t^24+672*t^20-37824*t^16+723968*t^12-605184*t^8+172032*t^4-16384)/(t^20+16*t^16+96*t^12+256*t^8+256*t^4)', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 2, 2]], 'label': '4.24.0.2', 'level': 4, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 4, 2]], 'parents': ['4.8.0.2', '4.12.0.5', '4.12.0.9', '4.12.0.11'], 'quadratic_twists': ['4.24.0.2', '4.48.0.2', '8.48.0.4', '8.48.0.5', '8.48.0.6'], 'rank': -1, 'rational_cusps': 2, 'reductions': ['2.3.0.1'], 'scalar_label': '1.1.1'}
34. label: 4.24.0.3
    {'CPlabel': '4E0', 'Emap': ['-27*t^8+81*t^6-108*t^4+81*t^2-27', '54*t^12-243*t^10+324*t^8-324*t^4+243*t^2-54'], 'RZBlabel': 'X25i', 'SZlabel': '', 'Slabel': '2Cs', 'children': ['4.48.0.3', '8.48.0.7', '8.48.0.8', '8.48.0.9', '8.48.0.10', '8.48.0.11', '8.48.0.12', '8.48.0.13', '8.48.0.14', '8.48.0.15', '8.48.0.16', '8.48.0.17', '8.48.0.18'], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.24.0.3'], 'generators': [[1, 0, 0, 3], [3, 2, 0, 3]], 'genus': 0, 'index': 24, 'isogeny_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2]], 'jmap': '0', 'kummer_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2]], 'label': '4.24.0.3', 'level': 4, 'missing_children': True, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 3], [4, 2, 4], [4, 4, 1]], 'parents': ['4.12.0.1', '4.12.0.2', '4.12.0.3'], 'quadratic_twists': ['4.12.0.3', '4.24.0.3', '4.24.0.5', '4.24.0.6', '8.24.0.9', '8.24.0.11', '8.24.0.12', '8.24.0.14', '8.24.0.16', '8.24.0.17', '8.24.0.19', '8.24.0.20', '8.24.0.21', '8.24.0.24', '8.24.0.26'], 'rank': -1, 'rational_cusps': 4, 'reductions': ['2.6.0.1'], 'scalar_label': '4.2.1'}
35. label: 4.24.0.4
    {'CPlabel': '4E0', 'Emap': ['-27*t^8-81*t^6-108*t^4-81*t^2-27', '54*t^12+243*t^10+324*t^8-324*t^4-243*t^2-54'], 'RZBlabel': 'X24d', 'SZlabel': '', 'Slabel': '2Cs', 'children': ['4.48.0.3', '8.48.0.19', '8.48.0.21', '8.48.0.22'], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.24.0.4'], 'generators': [[3, 0, 2, 3], [3, 2, 2, 1]], 'genus': 0, 'index': 24, 'isogeny_orbits': [[2, 1, 3], [4, 2, 3]], 'jmap': '0', 'kummer_orbits': [[2, 1, 3], [4, 2, 3]], 'label': '4.24.0.4', 'level': 4, 'missing_children': True, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 3], [4, 2, 2], [4, 4, 2]], 'parents': ['4.12.0.1', '4.12.0.2', '4.12.0.4'], 'quadratic_twists': ['4.12.0.4', '4.24.0.4', '4.24.0.7', '8.24.0.27', '8.24.0.28', '8.24.0.29', '8.24.0.30', '8.24.0.33', '8.24.0.34'], 'rank': -1, 'rational_cusps': 2, 'reductions': ['2.6.0.1'], 'scalar_label': '4.2.1'}
36. label: 4.24.0.5
    {'CPlabel': '4E0', 'Emap': ['-27*t^4+27*t^2-27', '54*t^6-81*t^4-81*t^2+54'], 'RZBlabel': 'X25n', 'SZlabel': '', 'Slabel': '2Cs', 'children': ['4.48.0.3', '8.48.0.23', '8.48.0.24', '8.48.0.25', '8.48.0.26', '8.48.0.27', '8.48.0.28', '8.48.0.29'], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.24.0.5', '4.24.0.6'], 'generators': [[1, 2, 0, 3], [1, 2, 0, 1]], 'genus': 0, 'index': 24, 'isogeny_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2]], 'jmap': '0', 'kummer_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2]], 'label': '4.24.0.5', 'level': 4, 'missing_children': True, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 3], [4, 1, 4], [4, 4, 2]], 'parents': ['4.12.0.1', '4.12.0.3', '4.12.0.7'], 'quadratic_twists': ['4.12.0.3', '4.24.0.3', '4.24.0.5', '4.24.0.6', '8.24.0.9', '8.24.0.11', '8.24.0.12', '8.24.0.14', '8.24.0.16', '8.24.0.17', '8.24.0.19', '8.24.0.20', '8.24.0.21', '8.24.0.24', '8.24.0.26'], 'rank': -1, 'rational_cusps': 4, 'reductions': ['2.6.0.1'], 'scalar_label': '4.2.1'}
37. label: 4.24.0.6
    {'CPlabel': '4E0', 'Emap': ['-27*t^4+27*t^2-27', '-54*t^6+81*t^4+81*t^2-54'], 'RZBlabel': 'X25h', 'SZlabel': '', 'Slabel': '2Cs', 'children': ['4.48.0.3', '8.48.0.30', '8.48.0.31', '8.48.0.32', '8.48.0.33', '8.48.0.34', '8.48.0.35', '8.48.0.36'], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.24.0.5', '4.24.0.6'], 'generators': [[3, 0, 0, 1], [1, 2, 0, 1]], 'genus': 0, 'index': 24, 'isogeny_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2]], 'jmap': '0', 'kummer_orbits': [[2, 1, 3], [4, 1, 2], [4, 2, 2]], 'label': '4.24.0.6', 'level': 4, 'missing_children': True, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 3], [4, 2, 6]], 'parents': ['4.12.0.1', '4.12.0.3', '4.12.0.8'], 'quadratic_twists': ['4.12.0.3', '4.24.0.3', '4.24.0.5', '4.24.0.6', '8.24.0.9', '8.24.0.11', '8.24.0.12', '8.24.0.14', '8.24.0.16', '8.24.0.17', '8.24.0.19', '8.24.0.20', '8.24.0.21', '8.24.0.24', '8.24.0.26'], 'rank': -1, 'rational_cusps': 4, 'reductions': ['2.6.0.1'], 'scalar_label': '4.2.1'}
38. label: 4.24.0.7
    {'CPlabel': '4E0', 'Emap': ['-27*t^4-27*t^2-27', '54*t^6+81*t^4-81*t^2-54'], 'RZBlabel': 'X24e', 'SZlabel': '', 'Slabel': '2Cs', 'children': ['4.48.0.3', '8.48.0.37', '8.48.0.39', '8.48.0.40'], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.24.0.7'], 'generators': [[1, 0, 2, 3], [1, 2, 0, 1]], 'genus': 0, 'index': 24, 'isogeny_orbits': [[2, 1, 3], [4, 2, 3]], 'jmap': '0', 'kummer_orbits': [[2, 1, 3], [4, 2, 3]], 'label': '4.24.0.7', 'level': 4, 'missing_children': True, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 3], [4, 2, 4], [4, 4, 1]], 'parents': ['4.12.0.1', '4.12.0.4'], 'quadratic_twists': ['4.12.0.4', '4.24.0.4', '4.24.0.7', '8.24.0.27', '8.24.0.28', '8.24.0.29', '8.24.0.30', '8.24.0.33', '8.24.0.34'], 'rank': -1, 'rational_cusps': 2, 'reductions': ['2.6.0.1'], 'scalar_label': '4.2.1'}
39. label: 4.24.0.8
    {'CPlabel': '4G0', 'Emap': [], 'RZBlabel': 'X58', 'SZlabel': '4G0-4a', 'Slabel': '2Cs', 'children': ['4.48.0.3', '8.48.0.41', '8.48.0.42', '8.48.0.43', '8.48.0.44', '8.48.0.45', '8.48.0.46', '8.48.0.47', '8.48.0.48', '8.48.0.50', '8.48.0.51', '8.48.0.52', '8.48.0.53', '8.48.0.54'], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.24.0.8'], 'generators': [[3, 0, 0, 1], [3, 0, 0, 3]], 'genus': 0, 'index': 24, 'isogeny_orbits': [[2, 1, 3], [4, 1, 4], [4, 2, 1]], 'jmap': '(t^24+672*t^20+151296*t^16+11583488*t^12+38731776*t^8+44040192*t^4+16777216)/(t^20-64*t^16+1536*t^12-16384*t^8+65536*t^4)', 'kummer_orbits': [[2, 1, 3], [4, 1, 4], [4, 2, 1]], 'label': '4.24.0.8', 'level': 4, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 3], [4, 2, 4], [4, 4, 1]], 'parents': ['4.12.0.3', '4.12.0.4', '4.12.0.11'], 'quadratic_twists': ['4.24.0.8', '4.48.0.3', '8.48.0.41', '8.48.0.42', '8.48.0.43', '8.48.0.46', '8.48.0.47', '8.48.0.48', '8.48.0.51', '8.48.0.52', '8.48.0.53', '8.48.0.54'], 'rank': -1, 'rational_cusps': 4, 'reductions': ['2.6.0.1'], 'scalar_label': '1.1.1'}
40. label: 4.24.0.9
    {'CPlabel': '4E0', 'Emap': ['-432*t^6+1512*t^4-27*t^2', '3456*t^9+28512*t^7-7128*t^5-54*t^3'], 'RZBlabel': 'X27f', 'SZlabel': '', 'Slabel': '2B', 'children': ['4.48.0.2', '8.48.0.55', '8.48.0.57', '8.48.0.59'], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.24.0.9'], 'generators': [[3, 3, 0, 1], [3, 2, 0, 3]], 'genus': 0, 'index': 24, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1]], 'jmap': '0', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1]], 'label': '4.24.0.9', 'level': 4, 'missing_children': True, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 4, 2]], 'parents': ['4.12.0.6', '4.12.0.9', '4.12.0.12'], 'quadratic_twists': ['4.12.0.9', '4.24.0.9', '4.24.0.11', '8.24.0.65', '8.24.0.66', '8.24.0.68', '8.24.0.69', '8.24.0.73', '8.24.0.75'], 'rank': -1, 'rational_cusps': 2, 'reductions': ['2.3.0.1'], 'scalar_label': '4.2.1'}
41. label: 4.24.0.11
    {'CPlabel': '4E0', 'Emap': ['-432*t^4+1512*t^2-27', '3456*t^6+28512*t^4-7128*t^2-54'], 'RZBlabel': 'X27h', 'SZlabel': '', 'Slabel': '2B', 'children': ['4.48.0.2', '8.48.0.60', '8.48.0.62', '8.48.0.64'], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.24.0.11'], 'generators': [[3, 3, 0, 1], [1, 2, 0, 1]], 'genus': 0, 'index': 24, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1]], 'jmap': '0', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1]], 'label': '4.24.0.11', 'level': 4, 'missing_children': True, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 2, 1], [4, 4, 2]], 'parents': ['4.12.0.7', '4.12.0.8', '4.12.0.9'], 'quadratic_twists': ['4.12.0.9', '4.24.0.9', '4.24.0.11', '8.24.0.65', '8.24.0.66', '8.24.0.68', '8.24.0.69', '8.24.0.73', '8.24.0.75'], 'rank': -1, 'rational_cusps': 2, 'reductions': ['2.3.0.1'], 'scalar_label': '4.2.1'}
42. label: 4.48.0.2
    {'CPlabel': '4G0', 'Emap': ['-432*t^8+1512*t^4-27', '3456*t^12+28512*t^8-7128*t^4-54'], 'RZBlabel': 'X60d', 'SZlabel': '', 'Slabel': '2B', 'children': [], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.48.0.2'], 'generators': [[3, 3, 0, 1]], 'genus': 0, 'index': 48, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 2, 2]], 'jmap': '0', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 2, 2]], 'label': '4.48.0.2', 'level': 4, 'missing_children': True, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 2, 5]], 'parents': ['4.16.0.2', '4.24.0.2', '4.24.0.9', '4.24.0.11'], 'quadratic_twists': ['4.24.0.2', '4.48.0.2', '8.48.0.4', '8.48.0.5', '8.48.0.6'], 'rank': -1, 'rational_cusps': 2, 'reductions': ['2.3.0.1'], 'scalar_label': '4.2.1'}
43. label: 4.48.0.3
    {'CPlabel': '4G0', 'Emap': ['-27*t^8-378*t^4-27', '54*t^12-1782*t^8-1782*t^4+54'], 'RZBlabel': 'X58i', 'SZlabel': '', 'Slabel': '2Cs', 'children': ['8.96.0.1', '8.96.0.2', '8.96.0.3', '8.96.0.5', '8.96.0.7', '8.96.0.8'], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['4.48.0.3'], 'generators': [[3, 0, 0, 1]], 'genus': 0, 'index': 48, 'isogeny_orbits': [[2, 1, 3], [4, 1, 4], [4, 2, 1]], 'jmap': '0', 'kummer_orbits': [[2, 1, 3], [4, 1, 4], [4, 2, 1]], 'label': '4.48.0.3', 'level': 4, 'missing_children': True, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 3], [4, 1, 4], [4, 2, 4]], 'parents': ['4.24.0.3', '4.24.0.4', '4.24.0.5', '4.24.0.6', '4.24.0.7', '4.24.0.8'], 'quadratic_twists': ['4.24.0.8', '4.48.0.3', '8.48.0.41', '8.48.0.42', '8.48.0.43', '8.48.0.46', '8.48.0.47', '8.48.0.48', '8.48.0.51', '8.48.0.52', '8.48.0.53', '8.48.0.54'], 'rank': -1, 'rational_cusps': 4, 'reductions': ['2.6.0.1'], 'scalar_label': '4.2.1'}
44. label: 5.5.0.1
    {'CPlabel': '5A0', 'Emap': [], 'RZBlabel': '', 'SZlabel': '5A0-5a', 'Slabel': '5S4', 'children': ['5.15.0.1'], 'cusps': 1, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['5.5.0.1'], 'generators': [[0, 3, 4, 0], [3, 3, 2, 3]], 'genus': 0, 'index': 5, 'isogeny_orbits': [[5, 6, 1]], 'jmap': 't^5+5*t^4+40*t^3', 'kummer_orbits': [[5, 12, 1]], 'label': '5.5.0.1', 'level': 5, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[5, 24, 1]], 'parents': ['1.1.0.1'], 'quadratic_twists': ['5.5.0.1'], 'rank': -1, 'rational_cusps': 1, 'reductions': [], 'scalar_label': '1.1.1'}
45. label: 5.6.0.1
    {'CPlabel': '5B0', 'Emap': [], 'RZBlabel': '', 'SZlabel': '5B0-5a', 'Slabel': '5B', 'children': ['5.12.0.1', '5.12.0.2', '5.30.0.1', '25.30.0.1'], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['5.6.0.1'], 'generators': [[1, 3, 0, 3], [3, 0, 0, 2]], 'genus': 0, 'index': 6, 'isogeny_orbits': [[5, 1, 1], [5, 5, 1]], 'jmap': '(t^6+30*t^5+315*t^4+1300*t^3+1575*t^2+750*t+125)/t', 'kummer_orbits': [[5, 2, 1], [5, 10, 1]], 'label': '5.6.0.1', 'level': 5, 'missing_children': False, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[5, 4, 1], [5, 20, 1]], 'parents': ['1.1.0.1'], 'quadratic_twists': ['5.6.0.1'], 'rank': -1, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '1.1.1'}
46. label: 5.10.0.1
    {'CPlabel': '5C0', 'Emap': [], 'RZBlabel': '', 'SZlabel': '5C0-5a', 'Slabel': '5Nn', 'children': ['5.30.0.2', '25.50.2.1', '25.250.14.1'], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['5.10.0.1'], 'generators': [[1, 2, 4, 1], [0, 3, 4, 0]], 'genus': 0, 'index': 10, 'isogeny_orbits': [[5, 6, 1]], 'jmap': '(8000*t^10-112000*t^9+720000*t^8-2560000*t^7+5000000*t^6-3600000*t^5-4000000*t^4+8000000*t^3)/(t^10-25*t^8+250*t^6-1250*t^4+3125*t^2-3125)', 'kummer_orbits': [[5, 12, 1]], 'label': '5.10.0.1', 'level': 5, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[5, 24, 1]], 'parents': ['1.1.0.1'], 'quadratic_twists': ['5.10.0.1'], 'rank': -1, 'rational_cusps': 0, 'reductions': [], 'scalar_label': '1.1.1'}
47. label: 5.12.0.1
    {'CPlabel': '5D0', 'Emap': [], 'RZBlabel': '', 'SZlabel': '5D0-5b', 'Slabel': '5B.4.1', 'children': ['5.24.0.1', '5.24.0.2', '5.60.0.1', '25.60.0.1'], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['5.12.0.1', '5.12.0.2'], 'generators': [[1, 0, 0, 3], [4, 3, 0, 4]], 'genus': 0, 'index': 12, 'isogeny_orbits': [[5, 1, 1], [5, 5, 1]], 'jmap': '(t^12-36*t^11+474*t^10-2700*t^9+5775*t^8-936*t^7-8404*t^6+936*t^5+5775*t^4+2700*t^3+474*t^2+36*t+1)/(t^7-11*t^6-t^5)', 'kummer_orbits': [[5, 1, 2], [5, 10, 1]], 'label': '5.12.0.1', 'level': 5, 'missing_children': False, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[5, 2, 2], [5, 20, 1]], 'parents': ['5.6.0.1'], 'quadratic_twists': ['5.12.0.1', '5.24.0.1', '5.24.0.2'], 'rank': -1, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '5.2.1'}
48. label: 5.12.0.2
    {'CPlabel': '5D0', 'Emap': [], 'RZBlabel': '', 'SZlabel': '5D0-5a', 'Slabel': '5B.4.2', 'children': ['5.24.0.3', '5.24.0.4', '5.60.0.1', '25.60.0.2'], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['5.12.0.1', '5.12.0.2'], 'generators': [[3, 1, 0, 1], [1, 0, 0, 4]], 'genus': 0, 'index': 12, 'isogeny_orbits': [[5, 1, 1], [5, 5, 1]], 'jmap': '(t^12+684*t^11+157434*t^10+12527460*t^9+77460495*t^8+130689144*t^7-33211924*t^6-130689144*t^5+77460495*t^4-12527460*t^3+157434*t^2-684*t+1)/(t^11-55*t^10+1205*t^9-13090*t^8+69585*t^7-134761*t^6-69585*t^5-13090*t^4-1205*t^3-55*t^2-t)', 'kummer_orbits': [[5, 2, 1], [5, 5, 2]], 'label': '5.12.0.2', 'level': 5, 'missing_children': False, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[5, 4, 1], [5, 10, 2]], 'parents': ['5.6.0.1'], 'quadratic_twists': ['5.12.0.2', '5.24.0.3', '5.24.0.4'], 'rank': -1, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '5.2.1'}
49. label: 5.15.0.1
    {'CPlabel': '5E0', 'Emap': [], 'RZBlabel': '', 'SZlabel': '5E0-5a', 'Slabel': '5Ns', 'children': ['5.30.0.1', '5.30.0.2', '25.75.2.1'], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['5.15.0.1'], 'generators': [[0, 3, 2, 0], [3, 0, 0, 1]], 'genus': 0, 'index': 15, 'isogeny_orbits': [[5, 2, 1], [5, 4, 1]], 'jmap': '(t^15+30*t^14+390*t^13+2800*t^12+11175*t^11+15750*t^10-72000*t^9-435000*t^8-830625*t^7+506250*t^6+5568750*t^5+9750000*t^4+265625*t^3-22968750*t^2-32812500*t-15625000)/(t^10+25*t^9+275*t^8+1750*t^7+7125*t^6+19375*t^5+35625*t^4+43750*t^3+34375*t^2+15625*t+3125)', 'kummer_orbits': [[5, 4, 1], [5, 8, 1]], 'label': '5.15.0.1', 'level': 5, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[5, 8, 1], [5, 16, 1]], 'parents': ['5.5.0.1'], 'quadratic_twists': ['5.15.0.1'], 'rank': -1, 'rational_cusps': 1, 'reductions': [], 'scalar_label': '1.1.1'}
50. label: 5.24.0.1
    {'CPlabel': '5D0', 'Emap': ['-27*t^4+324*t^3-378*t^2-324*t-27', '54*t^6-972*t^5+4050*t^4+4050*t^2+972*t+54'], 'RZBlabel': '', 'SZlabel': '', 'Slabel': '5B.1.1', 'children': ['5.120.0.1', '25.120.0.1'], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['5.24.0.1', '5.24.0.3'], 'generators': [[1, 1, 0, 4], [1, 0, 0, 3]], 'genus': 0, 'index': 24, 'isogeny_orbits': [[5, 1, 1], [5, 5, 1]], 'jmap': '0', 'kummer_orbits': [[5, 1, 2], [5, 10, 1]], 'label': '5.24.0.1', 'level': 5, 'missing_children': False, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[5, 1, 4], [5, 20, 1]], 'parents': ['5.12.0.1'], 'quadratic_twists': ['5.12.0.1', '5.24.0.1', '5.24.0.2'], 'rank': -1, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '5.4.1'}
51. label: 5.24.0.2
    {'CPlabel': '5D0', 'Emap': ['-675*t^4+8100*t^3-9450*t^2-8100*t-675', '6750*t^6-121500*t^5+506250*t^4+506250*t^2+121500*t+6750'], 'RZBlabel': '', 'SZlabel': '', 'Slabel': '5B.1.4', 'children': ['5.120.0.2', '25.120.0.2'], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['5.24.0.2', '5.24.0.4'], 'generators': [[4, 0, 0, 3], [1, 1, 0, 4]], 'genus': 0, 'index': 24, 'isogeny_orbits': [[5, 1, 1], [5, 5, 1]], 'jmap': '0', 'kummer_orbits': [[5, 1, 2], [5, 10, 1]], 'label': '5.24.0.2', 'level': 5, 'missing_children': False, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[5, 2, 2], [5, 20, 1]], 'parents': ['5.12.0.1'], 'quadratic_twists': ['5.12.0.1', '5.24.0.1', '5.24.0.2'], 'rank': -1, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '5.4.1'}
52. label: 5.24.0.3
    {'CPlabel': '5D0', 'Emap': ['-270000*t^4+135000*t^3+270000*t^2-135000*t-16875', '-55350000*t^6+32400000*t^5+60750000*t^4-64125000*t^3+26325000*t-9956250'], 'RZBlabel': '', 'SZlabel': '', 'Slabel': '5B.1.2', 'children': ['5.120.0.1', '25.120.0.3'], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['5.24.0.1', '5.24.0.3'], 'generators': [[3, 4, 0, 1], [4, 4, 0, 1]], 'genus': 0, 'index': 24, 'isogeny_orbits': [[5, 1, 1], [5, 5, 1]], 'jmap': '0', 'kummer_orbits': [[5, 2, 1], [5, 5, 2]], 'label': '5.24.0.3', 'level': 5, 'missing_children': False, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[5, 4, 1], [5, 5, 4]], 'parents': ['5.12.0.2'], 'quadratic_twists': ['5.12.0.2', '5.24.0.3', '5.24.0.4'], 'rank': -1, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '5.4.1'}
53. label: 5.24.0.4
    {'CPlabel': '5D0', 'Emap': ['-10800*t^4+5400*t^3+10800*t^2-5400*t-675', '-442800*t^6+259200*t^5+486000*t^4-513000*t^3+210600*t-79650'], 'RZBlabel': '', 'SZlabel': '', 'Slabel': '5B.1.3', 'children': ['5.120.0.2', '25.120.0.4'], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['5.24.0.2', '5.24.0.4'], 'generators': [[1, 1, 0, 1], [3, 0, 0, 4]], 'genus': 0, 'index': 24, 'isogeny_orbits': [[5, 1, 1], [5, 5, 1]], 'jmap': '0', 'kummer_orbits': [[5, 2, 1], [5, 5, 2]], 'label': '5.24.0.4', 'level': 5, 'missing_children': False, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[5, 4, 1], [5, 10, 2]], 'parents': ['5.12.0.2'], 'quadratic_twists': ['5.12.0.2', '5.24.0.3', '5.24.0.4'], 'rank': -1, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '5.4.1'}
54. label: 5.30.0.1
    {'CPlabel': '5G0', 'Emap': [], 'RZBlabel': '', 'SZlabel': '5G0-5a', 'Slabel': '5Cs', 'children': ['5.60.0.1'], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['5.30.0.1'], 'generators': [[3, 0, 0, 1], [3, 0, 0, 3]], 'genus': 0, 'index': 30, 'isogeny_orbits': [[5, 1, 2], [5, 4, 1]], 'jmap': '(t^30+30*t^29+465*t^28+4900*t^27+39150*t^26+252000*t^25+1360000*t^24+6337500*t^23+26090625*t^22+96593750*t^21+325846875*t^20+1010625000*t^19+2898984375*t^18+7721718750*t^17+19152890625*t^16+44323437500*t^15+95764453125*t^14+193042968750*t^13+362373046875*t^12+631640625000*t^11+1018271484375*t^10+1509277343750*t^9+2038330078125*t^8+2475585937500*t^7+2656250000000*t^6+2460937500000*t^5+1911621093750*t^4+1196289062500*t^3+567626953125*t^2+183105468750*t+30517578125)/(t^25+25*t^24+325*t^23+2875*t^22+19250*t^21+103125*t^20+456875*t^19+1709375*t^18+5475000*t^17+15140625*t^16+36321875*t^15+75703125*t^14+136875000*t^13+213671875*t^12+285546875*t^11+322265625*t^10+300781250*t^9+224609375*t^8+126953125*t^7+48828125*t^6+9765625*t^5)', 'kummer_orbits': [[5, 2, 2], [5, 8, 1]], 'label': '5.30.0.1', 'level': 5, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[5, 4, 2], [5, 16, 1]], 'parents': ['5.6.0.1', '5.15.0.1'], 'quadratic_twists': ['5.30.0.1'], 'rank': -1, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '1.1.1'}
55. label: 5.30.0.2
    {'CPlabel': '5G0', 'Emap': [], 'RZBlabel': '', 'SZlabel': '5G0-5b', 'Slabel': '5Ns.2.1', 'children': [], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['5.30.0.2'], 'generators': [[0, 1, 3, 0], [2, 0, 0, 3]], 'genus': 0, 'index': 30, 'isogeny_orbits': [[5, 2, 1], [5, 4, 1]], 'jmap': '(320000*t^27+14400000*t^26+316800000*t^25+4527000000*t^24+47112000000*t^23+379620000000*t^22+2458974375000*t^21+13124953125000*t^20+58718353125000*t^19+222816673828125*t^18+723084855468750*t^17+2017634677734375*t^16+4855562070312500*t^15+10088173388671875*t^14+18077121386718750*t^13+27852084228515625*t^12+36698970703125000*t^11+41015478515625000*t^10+38421474609375000*t^9+29657812500000000*t^8+18403125000000000*t^7+8841796875000000*t^6+3093750000000000*t^5+703125000000000*t^4+78125000000000*t^3)/(t^30+50*t^29+1225*t^28+19625*t^27+231375*t^26+2141250*t^25+16195625*t^24+102893750*t^23+559884375*t^22+2646875000*t^21+10988278125*t^20+40379921875*t^19+132138125000*t^18+386711718750*t^17+1015100000000*t^16+2394009765625*t^15+5075500000000*t^14+9667792968750*t^13+16517265625000*t^12+25237451171875*t^11+34338369140625*t^10+41357421875000*t^9+43740966796875*t^8+40192871093750*t^7+31632080078125*t^6+20910644531250*t^5+11297607421875*t^4+4791259765625*t^3+1495361328125*t^2+305175781250*t+30517578125)', 'kummer_orbits': [[5, 4, 1], [5, 8, 1]], 'label': '5.30.0.2', 'level': 5, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[5, 8, 1], [5, 16, 1]], 'parents': ['5.10.0.1', '5.15.0.1'], 'quadratic_twists': ['5.30.0.2'], 'rank': -1, 'rational_cusps': 0, 'reductions': [], 'scalar_label': '1.1.1'}
56. label: 5.60.0.1
    {'CPlabel': '5H0', 'Emap': [], 'RZBlabel': '', 'SZlabel': '5H0-5a', 'Slabel': '5Cs.4.1', 'children': ['5.120.0.1', '5.120.0.2'], 'cusps': 12, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['5.60.0.1'], 'generators': [[4, 0, 0, 4], [3, 0, 0, 1]], 'genus': 0, 'index': 60, 'isogeny_orbits': [[5, 1, 2], [5, 4, 1]], 'jmap': '(t^60+684*t^55+157434*t^50+12527460*t^45+77460495*t^40+130689144*t^35-33211924*t^30-130689144*t^25+77460495*t^20-12527460*t^15+157434*t^10-684*t^5+1)/(t^55-55*t^50+1205*t^45-13090*t^40+69585*t^35-134761*t^30-69585*t^25-13090*t^20-1205*t^15-55*t^10-t^5)', 'kummer_orbits': [[5, 1, 2], [5, 2, 1], [5, 4, 2]], 'label': '5.60.0.1', 'level': 5, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[5, 2, 2], [5, 4, 1], [5, 8, 2]], 'parents': ['5.12.0.1', '5.12.0.2', '5.30.0.1'], 'quadratic_twists': ['5.60.0.1', '5.120.0.1', '5.120.0.2'], 'rank': -1, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '5.2.1'}
57. label: 5.120.0.1
    {'CPlabel': '5H0', 'Emap': ['-27*t^20-6156*t^15-13338*t^10+6156*t^5-27', '54*t^30-28188*t^25-540270*t^20-540270*t^10+28188*t^5+54'], 'RZBlabel': '', 'SZlabel': '', 'Slabel': '5Cs.1.1', 'children': [], 'cusps': 12, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['5.120.0.1'], 'generators': [[2, 0, 0, 1]], 'genus': 0, 'index': 120, 'isogeny_orbits': [[5, 1, 2], [5, 4, 1]], 'jmap': '0', 'kummer_orbits': [[5, 1, 2], [5, 2, 1], [5, 4, 2]], 'label': '5.120.0.1', 'level': 5, 'missing_children': True, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[5, 1, 4], [5, 4, 5]], 'parents': ['5.24.0.1', '5.24.0.3', '5.60.0.1'], 'quadratic_twists': ['5.60.0.1', '5.120.0.1', '5.120.0.2'], 'rank': -1, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '5.4.1'}
58. label: 5.120.0.2
    {'CPlabel': '5H0', 'Emap': ['-675*t^20-153900*t^15-333450*t^10+153900*t^5-675', '6750*t^30-3523500*t^25-67533750*t^20-67533750*t^10+3523500*t^5+6750'], 'RZBlabel': '', 'SZlabel': '', 'Slabel': '5Cs.1.3', 'children': [], 'cusps': 12, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['5.120.0.2'], 'generators': [[3, 0, 0, 4]], 'genus': 0, 'index': 120, 'isogeny_orbits': [[5, 1, 2], [5, 4, 1]], 'jmap': '0', 'kummer_orbits': [[5, 1, 2], [5, 2, 1], [5, 4, 2]], 'label': '5.120.0.2', 'level': 5, 'missing_children': True, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[5, 2, 2], [5, 4, 5]], 'parents': ['5.24.0.2', '5.24.0.4', '5.60.0.1'], 'quadratic_twists': ['5.60.0.1', '5.120.0.1', '5.120.0.2'], 'rank': -1, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '5.4.1'}
59. label: 7.8.0.1
    {'CPlabel': '7B0', 'Emap': [], 'RZBlabel': '', 'SZlabel': '7B0-7a', 'Slabel': '7B', 'children': ['7.16.0.1', '7.16.0.2', '7.24.0.1', '7.24.0.2', '7.24.0.3'], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['7.8.0.1'], 'generators': [[2, 0, 0, 3], [6, 4, 0, 2]], 'genus': 0, 'index': 8, 'isogeny_orbits': [[7, 1, 1], [7, 7, 1]], 'jmap': '(t^8+28*t^7+322*t^6+1904*t^5+5915*t^4+8624*t^3+4018*t^2+748*t+49)/t', 'kummer_orbits': [[7, 3, 1], [7, 21, 1]], 'label': '7.8.0.1', 'level': 7, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[7, 6, 1], [7, 42, 1]], 'parents': ['1.1.0.1'], 'quadratic_twists': ['7.8.0.1', '7.16.0.1', '7.16.0.2'], 'rank': -1, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '1.1.1'}
60. label: 7.16.0.1
    {'CPlabel': '7B0', 'Emap': ['-27*t^8-324*t^7-1782*t^6-3456*t^5+10935*t^4+93312*t^3+266058*t^2+383292*t+177957', '54*t^12+972*t^11+8262*t^10+36612*t^9+47628*t^8-430596*t^7-3006234*t^6-9186372*t^5-11740788*t^4+15161796*t^3+92729286*t^2+164432268*t+124925814'], 'RZBlabel': '', 'SZlabel': '', 'Slabel': '7B.2.1', 'children': ['7.48.0.1', '7.48.0.2', '7.48.0.3'], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['7.16.0.1', '7.16.0.2'], 'generators': [[2, 0, 0, 3], [2, 1, 0, 2]], 'genus': 0, 'index': 16, 'isogeny_orbits': [[7, 1, 1], [7, 7, 1]], 'jmap': '0', 'kummer_orbits': [[7, 3, 1], [7, 21, 1]], 'label': '7.16.0.1', 'level': 7, 'missing_children': True, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[7, 3, 2], [7, 42, 1]], 'parents': ['7.8.0.1'], 'quadratic_twists': ['7.8.0.1', '7.16.0.1', '7.16.0.2'], 'rank': -1, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '7.2.1'}
61. label: 7.16.0.2
    {'CPlabel': '7B0', 'Emap': ['-1323*t^8-15876*t^7-87318*t^6-169344*t^5+535815*t^4+4572288*t^3+13036842*t^2+18781308*t+8719893', '-18522*t^12-333396*t^11-2833866*t^10-12557916*t^9-16336404*t^8+147694428*t^7+1031138262*t^6+3150925596*t^5+4027090284*t^4-5200496028*t^3-31806145098*t^2-56400267924*t-42849554202'], 'RZBlabel': '', 'SZlabel': '', 'Slabel': '7B.2.3', 'children': ['7.48.0.4', '7.48.0.5', '7.48.0.6'], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['7.16.0.1', '7.16.0.2'], 'generators': [[6, 2, 0, 2], [5, 3, 0, 1]], 'genus': 0, 'index': 16, 'isogeny_orbits': [[7, 1, 1], [7, 7, 1]], 'jmap': '0', 'kummer_orbits': [[7, 3, 1], [7, 21, 1]], 'label': '7.16.0.2', 'level': 7, 'missing_children': True, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[7, 6, 1], [7, 21, 2]], 'parents': ['7.8.0.1'], 'quadratic_twists': ['7.8.0.1', '7.16.0.1', '7.16.0.2'], 'rank': -1, 'rational_cusps': 2, 'reductions': [], 'scalar_label': '7.2.1'}
62. label: 7.21.0.1
    {'CPlabel': '7D0', 'Emap': [], 'RZBlabel': '', 'SZlabel': '7D0-7a', 'Slabel': '7Nn', 'children': ['49.147.9.1', '49.1029.69.1'], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['7.21.0.1'], 'generators': [[4, 5, 5, 3], [3, 5, 6, 4]], 'genus': 0, 'index': 21, 'isogeny_orbits': [[7, 8, 1]], 'jmap': '(8000*t^21+33600*t^20+55440*t^19+87472*t^18+204204*t^17+236796*t^16+38395*t^15+80589*t^14+179109*t^13-524125*t^12-691152*t^11+430248*t^10+93464*t^9-784224*t^8+785856*t^7+1142848*t^6-956928*t^5-720384*t^4+598528*t^3+129024*t^2-172032*t+32768)/(t^21+14*t^20+77*t^19+189*t^18+77*t^17-616*t^16-1106*t^15+289*t^14+2338*t^13+1099*t^12-2247*t^11-2037*t^10+1008*t^9+1596*t^8-57*t^7-658*t^6-140*t^5+133*t^4+56*t^3-7*t^2-7*t-1)', 'kummer_orbits': [[7, 24, 1]], 'label': '7.21.0.1', 'level': 7, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[7, 48, 1]], 'parents': ['1.1.0.1'], 'quadratic_twists': ['7.21.0.1'], 'rank': -1, 'rational_cusps': 0, 'reductions': [], 'scalar_label': '1.1.1'}
63. label: 7.24.0.1
    {'CPlabel': '7E0', 'Emap': [], 'RZBlabel': '', 'SZlabel': '7E0-7b', 'Slabel': '7B.6.1', 'children': ['7.48.0.1', '7.48.0.4'], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['7.24.0.1', '7.24.0.2'], 'generators': [[6, 0, 0, 5], [6, 6, 0, 4]], 'genus': 0, 'index': 24, 'isogeny_orbits': [[7, 1, 1], [7, 7, 1]], 'jmap': '(t^24-36*t^23+558*t^22-4920*t^21+27573*t^20-104328*t^19+276738*t^18-525828*t^17+715290*t^16-663932*t^15+337398*t^14+61824*t^13-268723*t^12+213528*t^11-51570*t^10-43644*t^9+41274*t^8-8772*t^7-5222*t^6+3024*t^5+21*t^4-272*t^3+6*t^2+12*t+1)/(t^17-15*t^16+82*t^15-237*t^14+413*t^13-455*t^12+315*t^11-127*t^10+22*t^9+2*t^8-t^7)', 'kummer_orbits': [[7, 1, 3], [7, 21, 1]], 'label': '7.24.0.1', 'level': 7, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[7, 2, 3], [7, 42, 1]], 'parents': ['7.8.0.1'], 'quadratic_twists': ['7.24.0.1', '7.48.0.1', '7.48.0.4'], 'rank': -1, 'rational_cusps': 3, 'reductions': [], 'scalar_label': '7.3.1'}
64. label: 7.24.0.2
    {'CPlabel': '7E0', 'Emap': [], 'RZBlabel': '', 'SZlabel': '7E0-7a', 'Slabel': '7B.6.3', 'children': ['7.48.0.2', '7.48.0.5'], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['7.24.0.1', '7.24.0.2'], 'generators': [[3, 0, 0, 1], [5, 4, 0, 6]], 'genus': 0, 'index': 24, 'isogeny_orbits': [[7, 1, 1], [7, 7, 1]], 'jmap': '(t^24+684*t^23+156078*t^22+11904600*t^21+4190613*t^20-265329288*t^19+435092658*t^18+1689314892*t^17-7528480230*t^16+9101578228*t^15+14120808918*t^14-78028578096*t^13+167218695917*t^12-234653356392*t^11+239260583070*t^10-182929335564*t^9+105019065594*t^8-44355556212*t^7+13188031738*t^6-2564908416*t^5+291463221*t^4-15513392*t^3+172086*t^2-708*t+1)/(t^23-57*t^22+1435*t^21-20972*t^20+196742*t^19-1237747*t^18+5306322*t^17-15485891*t^16+30347591*t^15-38758601*t^14+29795332*t^13-10091718*t^12-2656857*t^11+3234840*t^10-291825*t^9-427019*t^8+49938*t^7+40915*t^6+273*t^5-2233*t^4-434*t^3-34*t^2-t)', 'kummer_orbits': [[7, 3, 1], [7, 7, 3]], 'label': '7.24.0.2', 'level': 7, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[7, 6, 1], [7, 14, 3]], 'parents': ['7.8.0.1'], 'quadratic_twists': ['7.24.0.2', '7.48.0.2', '7.48.0.5'], 'rank': -1, 'rational_cusps': 3, 'reductions': [], 'scalar_label': '7.3.1'}
65. label: 7.24.0.3
    {'CPlabel': '7E0', 'Emap': [], 'RZBlabel': '', 'SZlabel': '7E0-7c', 'Slabel': '7B.6.2', 'children': ['7.48.0.3', '7.48.0.6'], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['7.24.0.3'], 'generators': [[1, 0, 0, 6], [5, 3, 0, 5]], 'genus': 0, 'index': 24, 'isogeny_orbits': [[7, 1, 1], [7, 7, 1]], 'jmap': '(-3375*t^24+72900*t^23-685530*t^22+3686472*t^21-12486411*t^20+27376272*t^19-36987454*t^18+21344436*t^17+23402202*t^16-65339604*t^15+61447422*t^14-10024560*t^13-40297075*t^12+45722880*t^11-14826642*t^10-12043476*t^9+14422938*t^8-4127436*t^7-2149966*t^6+1830528*t^5-184779*t^4-217512*t^3+59670*t^2+8100*t-3375)/(t^24-9*t^23+20*t^22+50*t^21-259*t^20+77*t^19+1127*t^18-1366*t^17-2280*t^16+4915*t^15+1560*t^14-8925*t^13+2366*t^12+8820*t^11-6113*t^10-3965*t^9+5455*t^8-338*t^7-2065*t^6+994*t^5+98*t^4-237*t^3+89*t^2-15*t+1)', 'kummer_orbits': [[7, 3, 1], [7, 21, 1]], 'label': '7.24.0.3', 'level': 7, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[7, 6, 1], [7, 42, 1]], 'parents': ['7.8.0.1'], 'quadratic_twists': ['7.24.0.3', '7.48.0.3', '7.48.0.6'], 'rank': -1, 'rational_cusps': 0, 'reductions': [], 'scalar_label': '1.1.1'}
66. label: 7.28.0.1
    {'CPlabel': '7F0', 'Emap': [], 'RZBlabel': '', 'SZlabel': '7F0-7a', 'Slabel': '7Ns', 'children': ['7.56.1.2', '49.196.9.1'], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['7.28.0.1'], 'generators': [[0, 6, 4, 0], [6, 0, 0, 2]], 'genus': 0, 'index': 28, 'isogeny_orbits': [[7, 2, 1], [7, 6, 1]], 'jmap': '(t^28-42*t^27+819*t^26-9842*t^25+81543*t^24-493416*t^23+2251424*t^22-7875228*t^21+21198429*t^20-43406706*t^19+64776789*t^18-60368574*t^17+3362506*t^16+104541150*t^15-212026035*t^14+237886698*t^13-133819119*t^12-58109436*t^11+223139000*t^10-262662624*t^9+167532099*t^8-20944902*t^7-75827661*t^6+91840770*t^5-58148643*t^4+18984168*t^3-2963520*t^2+175616*t)/(t^21-28*t^20+357*t^19-2737*t^18+14021*t^17-50358*t^16+129038*t^15-233923*t^14+286398*t^13-203469*t^12+25249*t^11+88557*t^10-60144*t^9-9856*t^8+20583*t^7+364*t^6-4200*t^5-483*t^4+448*t^3+161*t^2+21*t+1)', 'kummer_orbits': [[7, 6, 1], [7, 18, 1]], 'label': '7.28.0.1', 'level': 7, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[7, 12, 1], [7, 36, 1]], 'parents': ['1.1.0.1'], 'quadratic_twists': ['7.28.0.1'], 'rank': -1, 'rational_cusps': 1, 'reductions': [], 'scalar_label': '1.1.1'}
67. label: 7.42.1.1
    {'CPlabel': '7A1', 'Emap': [], 'RZBlabel': '', 'SZlabel': '', 'Slabel': '7Nn.1.3', 'children': ['7.84.1.1'], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': [1], 'gassmann_class': ['7.42.1.1'], 'generators': [[3, 1, 5, 3], [0, 3, 6, 0]], 'genus': 1, 'index': 42, 'isogeny_orbits': [[7, 4, 2]], 'jmap': '0', 'kummer_orbits': [[7, 12, 2]], 'label': '7.42.1.1', 'level': 7, 'missing_children': False, 'model': '', 'newforms': ['49.2.a.a'], 'obstructions': [], 'orbits': [[7, 24, 2]], 'parents': ['7.21.0.1'], 'quadratic_twists': ['7.42.1.1'], 'rank': 0, 'rational_cusps': 0, 'reductions': [], 'scalar_label': '1.1.1'}
68. label: 7.48.0.1
    {'CPlabel': '7E0', 'Emap': ['-27*t^8+108*t^7+378*t^6-945*t^4-1512*t^3-1134*t^2-324*t-27', '54*t^12-324*t^11-810*t^10+2484*t^9+9396*t^8+11988*t^7+14742*t^6+26244*t^5+30780*t^4+19116*t^3+6318*t^2+972*t+54'], 'RZBlabel': '', 'SZlabel': '', 'Slabel': '7B.1.1', 'children': [], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['7.48.0.1', '7.48.0.5'], 'generators': [[1, 6, 0, 5], [1, 6, 0, 2]], 'genus': 0, 'index': 48, 'isogeny_orbits': [[7, 1, 1], [7, 7, 1]], 'jmap': '0', 'kummer_orbits': [[7, 1, 3], [7, 21, 1]], 'label': '7.48.0.1', 'level': 7, 'missing_children': True, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[7, 1, 6], [7, 42, 1]], 'parents': ['7.16.0.1', '7.24.0.1'], 'quadratic_twists': ['7.24.0.1', '7.48.0.1', '7.48.0.4'], 'rank': -1, 'rational_cusps': 3, 'reductions': [], 'scalar_label': '7.6.1'}
69. label: 7.48.0.2
    {'CPlabel': '7E0', 'Emap': ['-8362683*t^8+86349564*t^7-380275182*t^6+925729560*t^5-1345484385*t^4+1168960464*t^3-565421094*t^2+121615452*t-3176523', '9308249622*t^12-144168765300*t^11+1007065792782*t^10-4183036077780*t^9+11462127474924*t^8-21710454687180*t^7+28920545651718*t^6-26976570753132*t^5+17148230705844*t^4-6988668252300*t^3+1601634661830*t^2-143820255348*t-2179094778'], 'RZBlabel': '', 'SZlabel': '', 'Slabel': '7B.1.4', 'children': [], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['7.48.0.2', '7.48.0.4'], 'generators': [[4, 4, 0, 6], [4, 6, 0, 1]], 'genus': 0, 'index': 48, 'isogeny_orbits': [[7, 1, 1], [7, 7, 1]], 'jmap': '0', 'kummer_orbits': [[7, 3, 1], [7, 7, 3]], 'label': '7.48.0.2', 'level': 7, 'missing_children': True, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[7, 3, 2], [7, 14, 3]], 'parents': ['7.16.0.1', '7.24.0.2'], 'quadratic_twists': ['7.24.0.2', '7.48.0.2', '7.48.0.5'], 'rank': -1, 'rational_cusps': 3, 'reductions': [], 'scalar_label': '7.6.1'}
70. label: 7.48.0.3
    {'CPlabel': '7E0', 'Emap': ['-2361555*t^8+40340916*t^7-282256758*t^6+1078202664*t^5-2489032665*t^4+3583117944*t^3-3157463862*t^2+1562849316*t-333534915', '1396762542*t^12-35793061164*t^11+403272300942*t^10-2660414249052*t^9+11514959405460*t^8-34613186166972*t^7+74367746341686*t^6-115405482041388*t^5+128670565852836*t^4-100704686070492*t^3+52596188058078*t^2-16479559908252*t+2345017280382'], 'RZBlabel': '', 'SZlabel': '', 'Slabel': '7B.1.2', 'children': [], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['7.48.0.3', '7.48.0.6'], 'generators': [[2, 6, 0, 5], [1, 5, 0, 6]], 'genus': 0, 'index': 48, 'isogeny_orbits': [[7, 1, 1], [7, 7, 1]], 'jmap': '0', 'kummer_orbits': [[7, 3, 1], [7, 21, 1]], 'label': '7.48.0.3', 'level': 7, 'missing_children': True, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[7, 3, 2], [7, 42, 1]], 'parents': ['7.16.0.1', '7.24.0.3'], 'quadratic_twists': ['7.24.0.3', '7.48.0.3', '7.48.0.6'], 'rank': -1, 'rational_cusps': 0, 'reductions': [], 'scalar_label': '7.2.1'}
71. label: 7.48.0.4
    {'CPlabel': '7E0', 'Emap': ['-1323*t^8+5292*t^7+18522*t^6-46305*t^4-74088*t^3-55566*t^2-15876*t-1323', '-18522*t^12+111132*t^11+277830*t^10-852012*t^9-3222828*t^8-4111884*t^7-5056506*t^6-9001692*t^5-10557540*t^4-6556788*t^3-2167074*t^2-333396*t-18522'], 'RZBlabel': '', 'SZlabel': '', 'Slabel': '7B.1.6', 'children': [], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['7.48.0.2', '7.48.0.4'], 'generators': [[1, 3, 0, 1], [6, 4, 0, 4]], 'genus': 0, 'index': 48, 'isogeny_orbits': [[7, 1, 1], [7, 7, 1]], 'jmap': '0', 'kummer_orbits': [[7, 1, 3], [7, 21, 1]], 'label': '7.48.0.4', 'level': 7, 'missing_children': True, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[7, 2, 3], [7, 21, 2]], 'parents': ['7.16.0.2', '7.24.0.1'], 'quadratic_twists': ['7.24.0.1', '7.48.0.1', '7.48.0.4'], 'rank': -1, 'rational_cusps': 3, 'reductions': [], 'scalar_label': '7.6.1'}
72. label: 7.48.0.5
    {'CPlabel': '7E0', 'Emap': ['-170667*t^8+1762236*t^7-7760718*t^6+18892440*t^5-27458865*t^4+23856336*t^3-11539206*t^2+2481948*t-64827', '-27137754*t^12+420317100*t^11-2936051874*t^10+12195440460*t^9-33417281268*t^8+63295786260*t^7-84316459626*t^6+78648894324*t^5-49994841708*t^4+20375126100*t^3-4669488810*t^2+419301036*t+6353046'], 'RZBlabel': '', 'SZlabel': '', 'Slabel': '7B.1.3', 'children': [], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['7.48.0.1', '7.48.0.5'], 'generators': [[5, 6, 0, 1], [2, 3, 0, 1]], 'genus': 0, 'index': 48, 'isogeny_orbits': [[7, 1, 1], [7, 7, 1]], 'jmap': '0', 'kummer_orbits': [[7, 3, 1], [7, 7, 3]], 'label': '7.48.0.5', 'level': 7, 'missing_children': True, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[7, 6, 1], [7, 7, 6]], 'parents': ['7.16.0.2', '7.24.0.2'], 'quadratic_twists': ['7.24.0.2', '7.48.0.2', '7.48.0.5'], 'rank': -1, 'rational_cusps': 3, 'reductions': [], 'scalar_label': '7.6.1'}
73. label: 7.48.0.6
    {'CPlabel': '7E0', 'Emap': ['-48195*t^8+823284*t^7-5760342*t^6+22004136*t^5-50796585*t^4+73124856*t^3-64438038*t^2+31894884*t-6806835', '-4072194*t^12+104352948*t^11-1175720994*t^10+7756309764*t^9-33571310220*t^8+100913079204*t^7-216815587002*t^6+336459131316*t^5-375132845052*t^4+293599667844*t^3-153341656146*t^2+48045364164*t-6836785074'], 'RZBlabel': '', 'SZlabel': '', 'Slabel': '7B.1.5', 'children': [], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['7.48.0.3', '7.48.0.6'], 'generators': [[5, 1, 0, 2], [5, 0, 0, 2]], 'genus': 0, 'index': 48, 'isogeny_orbits': [[7, 1, 1], [7, 7, 1]], 'jmap': '0', 'kummer_orbits': [[7, 3, 1], [7, 21, 1]], 'label': '7.48.0.6', 'level': 7, 'missing_children': True, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[7, 6, 1], [7, 21, 2]], 'parents': ['7.16.0.2', '7.24.0.3'], 'quadratic_twists': ['7.24.0.3', '7.48.0.3', '7.48.0.6'], 'rank': -1, 'rational_cusps': 0, 'reductions': [], 'scalar_label': '7.2.1'}
74. label: 7.56.1.2
    {'CPlabel': '7B1', 'Emap': [], 'RZBlabel': '', 'SZlabel': '', 'Slabel': '7Ns.3.1', 'children': ['7.112.1.2'], 'cusps': 8, 'determinant_label': '1.1.1', 'dims': [1], 'gassmann_class': ['7.56.1.2'], 'generators': [[0, 1, 1, 0], [3, 0, 0, 6]], 'genus': 1, 'index': 56, 'isogeny_orbits': [[7, 2, 1], [7, 3, 2]], 'jmap': '0', 'kummer_orbits': [[7, 6, 1], [7, 9, 2]], 'label': '7.56.1.2', 'level': 7, 'missing_children': True, 'model': '', 'newforms': ['49.2.a.a'], 'obstructions': [], 'orbits': [[7, 12, 1], [7, 18, 2]], 'parents': ['7.28.0.1'], 'quadratic_twists': ['7.56.1.2', '7.112.1.2'], 'rank': 0, 'rational_cusps': 0, 'reductions': [], 'scalar_label': '1.1.1'}
75. label: 7.84.1.1
    {'CPlabel': '7C1', 'Emap': [], 'RZBlabel': '', 'SZlabel': '', 'Slabel': '7Ns.6.1.2', 'children': [], 'cusps': 12, 'determinant_label': '1.1.1', 'dims': [1], 'gassmann_class': ['7.84.1.1'], 'generators': [[4, 0, 0, 3], [0, 2, 4, 0]], 'genus': 1, 'index': 84, 'isogeny_orbits': [[7, 2, 2], [7, 4, 1]], 'jmap': '0', 'kummer_orbits': [[7, 6, 2], [7, 12, 1]], 'label': '7.84.1.1', 'level': 7, 'missing_children': False, 'model': '', 'newforms': ['49.2.a.a'], 'obstructions': [], 'orbits': [[7, 12, 2], [7, 24, 1]], 'parents': ['7.28.0.1', '7.42.1.1'], 'quadratic_twists': ['7.84.1.1'], 'rank': 0, 'rational_cusps': 0, 'reductions': [], 'scalar_label': '1.1.1'}
76. label: 7.112.1.2
    {'CPlabel': '7B1', 'Emap': [], 'RZBlabel': '', 'SZlabel': '', 'Slabel': '7Ns.2.1', 'children': [], 'cusps': 8, 'determinant_label': '1.1.1', 'dims': [1], 'gassmann_class': ['7.112.1.2'], 'generators': [[0, 5, 5, 0], [0, 5, 3, 0]], 'genus': 1, 'index': 112, 'isogeny_orbits': [[7, 2, 1], [7, 3, 2]], 'jmap': '0', 'kummer_orbits': [[7, 6, 1], [7, 9, 2]], 'label': '7.112.1.2', 'level': 7, 'missing_children': True, 'model': '', 'newforms': ['49.2.a.a'], 'obstructions': [], 'orbits': [[7, 6, 2], [7, 9, 2], [7, 18, 1]], 'parents': ['7.56.1.2'], 'quadratic_twists': ['7.56.1.2', '7.112.1.2'], 'rank': 0, 'rational_cusps': 0, 'reductions': [], 'scalar_label': '7.2.1'}
77. label: 8.2.0.1
    {'CPlabel': '2A0', 'Emap': [], 'RZBlabel': 'X4', 'SZlabel': '2A0-8a', 'Slabel': '2G', 'children': ['8.6.0.5', '8.8.0.1'], 'cusps': 1, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['8.2.0.1'], 'generators': [[0, 5, 7, 2], [7, 1, 4, 5]], 'genus': 0, 'index': 2, 'isogeny_orbits': [[2, 3, 1], [4, 6, 1], [8, 12, 1]], 'jmap': '-2*t^2+1728', 'kummer_orbits': [[2, 3, 1], [4, 6, 1], [8, 24, 1]], 'label': '8.2.0.1', 'level': 8, 'missing_children': False, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 3, 1], [4, 12, 1], [8, 48, 1]], 'parents': ['1.1.0.1'], 'quadratic_twists': ['8.2.0.1'], 'rank': -1, 'rational_cusps': 1, 'reductions': ['1.1.0.1', '1.1.0.1'], 'scalar_label': '1.1.1'}
78. label: 8.2.0.2
    {'CPlabel': '2A0', 'Emap': [], 'RZBlabel': 'X5', 'SZlabel': '2A0-8b', 'Slabel': '2G', 'children': ['8.6.0.6'], 'cusps': 1, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['8.2.0.2'], 'generators': [[5, 7, 3, 4], [7, 6, 3, 1]], 'genus': 0, 'index': 2, 'isogeny_orbits': [[2, 3, 1], [4, 6, 1], [8, 12, 1]], 'jmap': '2*t^2+1728', 'kummer_orbits': [[2, 3, 1], [4, 6, 1], [8, 24, 1]], 'label': '8.2.0.2', 'level': 8, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 3, 1], [4, 12, 1], [8, 48, 1]], 'parents': ['1.1.0.1'], 'quadratic_twists': ['8.2.0.2'], 'rank': -1, 'rational_cusps': 1, 'reductions': ['1.1.0.1', '1.1.0.1'], 'scalar_label': '1.1.1'}
79. label: 8.4.0.1
    {'CPlabel': '2A0', 'Emap': ['-108*t^6-559872*t^4-967458816*t^2-557256278016', '432*t^9+2985984*t^7+7739670528*t^5+8916100448256*t^3+3851755393646592*t'], 'RZBlabel': 'X2b', 'SZlabel': '', 'Slabel': '2Cn', 'children': ['8.12.0.2'], 'cusps': 1, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['8.4.0.1'], 'generators': [[5, 0, 4, 7], [0, 7, 7, 7]], 'genus': 0, 'index': 4, 'isogeny_orbits': [[2, 3, 1], [4, 6, 1], [8, 12, 1]], 'jmap': '0', 'kummer_orbits': [[2, 3, 1], [4, 6, 1], [8, 24, 1]], 'label': '8.4.0.1', 'level': 8, 'missing_children': True, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[2, 3, 1], [4, 12, 1], [8, 48, 1]], 'parents': ['2.2.0.1'], 'quadratic_twists': ['2.2.0.1', '4.4.0.2', '8.4.0.1'], 'rank': -1, 'rational_cusps': 1, 'reductions': ['2.2.0.1', '2.2.0.1'], 'scalar_label': '4.2.1'}
80. label: 8.4.0.2
    {'CPlabel': '2A0', 'Emap': ['-27*t^6+139968*t^4-241864704*t^2+139314069504', '54*t^9-373248*t^7+967458816*t^5-1114512556032*t^3+481469424205824*t'], 'RZBlabel': 'X3b', 'SZlabel': '', 'Slabel': '2G', 'children': ['8.12.0.38', '8.16.0.3'], 'cusps': 1, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['8.4.0.2'], 'generators': [[7, 5, 4, 5], [2, 7, 3, 0]], 'genus': 0, 'index': 4, 'isogeny_orbits': [[2, 3, 1], [4, 6, 1], [8, 12, 1]], 'jmap': '0', 'kummer_orbits': [[2, 3, 1], [4, 6, 1], [8, 24, 1]], 'label': '8.4.0.2', 'level': 8, 'missing_children': False, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[2, 3, 1], [4, 12, 1], [8, 48, 1]], 'parents': ['4.2.0.1'], 'quadratic_twists': ['4.2.0.1', '4.4.0.3', '8.4.0.2'], 'rank': -1, 'rational_cusps': 1, 'reductions': ['1.1.0.1', '4.2.0.1'], 'scalar_label': '4.2.1'}
81. label: 8.6.0.1
    {'CPlabel': '4B0', 'Emap': [], 'RZBlabel': 'X16', 'SZlabel': '4B0-8a', 'Slabel': '2B', 'children': ['8.12.0.3', '8.12.0.19', '8.12.0.35', '8.12.0.39'], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['8.6.0.1'], 'generators': [[7, 7, 0, 7], [5, 6, 0, 3], [5, 2, 2, 3]], 'genus': 0, 'index': 6, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [8, 4, 1], [8, 8, 1]], 'jmap': '(64*t^6-1152*t^4+6912*t^2-13824)/(t^2-8)', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [8, 8, 1], [8, 16, 1]], 'label': '8.6.0.1', 'level': 8, 'missing_children': False, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1], [8, 16, 1], [8, 32, 1]], 'parents': ['2.3.0.1'], 'quadratic_twists': ['8.6.0.1'], 'rank': -1, 'rational_cusps': 1, 'reductions': ['2.3.0.1', '2.3.0.1'], 'scalar_label': '1.1.1'}
82. label: 8.6.0.2
    {'CPlabel': '4C0', 'Emap': [], 'RZBlabel': 'X14', 'SZlabel': '4C0-8a', 'Slabel': '2B', 'children': ['8.12.0.3', '8.12.0.15'], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['8.6.0.2'], 'generators': [[1, 6, 4, 7], [7, 6, 2, 7], [7, 3, 4, 7]], 'genus': 0, 'index': 6, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [8, 4, 1], [8, 8, 1]], 'jmap': '(128*t^6+768*t^4+1536*t^2+1024)/t^4', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [8, 8, 1], [8, 16, 1]], 'label': '8.6.0.2', 'level': 8, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1], [8, 16, 1], [8, 32, 1]], 'parents': ['2.3.0.1'], 'quadratic_twists': ['8.6.0.2'], 'rank': -1, 'rational_cusps': 2, 'reductions': ['2.3.0.1', '2.3.0.1'], 'scalar_label': '1.1.1'}
83. label: 8.6.0.3
    {'CPlabel': '4C0', 'Emap': [], 'RZBlabel': 'X18', 'SZlabel': '4C0-8b', 'Slabel': '2B', 'children': ['8.12.0.4', '8.12.0.16', '8.12.0.26', '8.12.0.39'], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['8.6.0.3'], 'generators': [[7, 6, 6, 5], [5, 0, 0, 7], [7, 1, 2, 5]], 'genus': 0, 'index': 6, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [8, 4, 1], [8, 8, 1]], 'jmap': '(-128*t^6+768*t^4-1536*t^2+1024)/t^4', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [8, 8, 1], [8, 16, 1]], 'label': '8.6.0.3', 'level': 8, 'missing_children': False, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1], [8, 16, 1], [8, 32, 1]], 'parents': ['2.3.0.1'], 'quadratic_twists': ['8.6.0.3'], 'rank': -1, 'rational_cusps': 2, 'reductions': ['2.3.0.1', '2.3.0.1'], 'scalar_label': '1.1.1'}
84. label: 8.6.0.4
    {'CPlabel': '4B0', 'Emap': [], 'RZBlabel': 'X15', 'SZlabel': '4B0-8b', 'Slabel': '2B', 'children': ['8.12.0.4', '8.12.0.36'], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['8.6.0.4'], 'generators': [[0, 1, 1, 6], [5, 0, 6, 1], [6, 3, 5, 0]], 'genus': 0, 'index': 6, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [8, 4, 1], [8, 8, 1]], 'jmap': '(64*t^6+1152*t^4+6912*t^2+13824)/(t^2+8)', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [8, 8, 1], [8, 16, 1]], 'label': '8.6.0.4', 'level': 8, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1], [8, 16, 1], [8, 32, 1]], 'parents': ['2.3.0.1'], 'quadratic_twists': ['8.6.0.4'], 'rank': -1, 'rational_cusps': 1, 'reductions': ['2.3.0.1', '2.3.0.1'], 'scalar_label': '1.1.1'}
85. label: 8.6.0.5
    {'CPlabel': '2C0', 'Emap': [], 'RZBlabel': 'X19', 'SZlabel': '2C0-8a', 'Slabel': '2B', 'children': ['8.12.0.16', '8.12.0.35'], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['8.6.0.5'], 'generators': [[3, 3, 4, 1], [7, 6, 6, 1], [7, 1, 0, 3]], 'genus': 0, 'index': 6, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [8, 4, 1], [8, 8, 1]], 'jmap': '(-32*t^6+576*t^4-3456*t^2+6912)/(t^4+4*t^2+4)', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [8, 8, 1], [8, 16, 1]], 'label': '8.6.0.5', 'level': 8, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1], [8, 16, 1], [8, 32, 1]], 'parents': ['2.3.0.1', '8.2.0.1'], 'quadratic_twists': ['8.6.0.5'], 'rank': -1, 'rational_cusps': 1, 'reductions': ['2.3.0.1', '2.3.0.1'], 'scalar_label': '1.1.1'}
86. label: 8.6.0.6
    {'CPlabel': '2C0', 'Emap': [], 'RZBlabel': 'X17', 'SZlabel': '2C0-8b', 'Slabel': '2B', 'children': ['8.12.0.15', '8.12.0.19', '8.12.0.26', '8.12.0.36'], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['8.6.0.6'], 'generators': [[3, 1, 2, 5], [7, 1, 6, 7], [3, 4, 6, 3]], 'genus': 0, 'index': 6, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [8, 4, 1], [8, 8, 1]], 'jmap': '(32*t^6+576*t^4+3456*t^2+6912)/(t^4-4*t^2+4)', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [8, 8, 1], [8, 16, 1]], 'label': '8.6.0.6', 'level': 8, 'missing_children': False, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1], [8, 16, 1], [8, 32, 1]], 'parents': ['2.3.0.1', '8.2.0.2'], 'quadratic_twists': ['8.6.0.6'], 'rank': -1, 'rational_cusps': 1, 'reductions': ['2.3.0.1', '2.3.0.1'], 'scalar_label': '1.1.1'}
87. label: 8.8.0.1
    {'CPlabel': '4D0', 'Emap': [], 'RZBlabel': 'X22', 'SZlabel': '4D0-8a', 'Slabel': '2G', 'children': ['8.24.0.37', '16.16.0.1', '16.16.0.2'], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['8.8.0.1'], 'generators': [[3, 7, 4, 1], [5, 3, 7, 0]], 'genus': 0, 'index': 8, 'isogeny_orbits': [[2, 3, 1], [4, 6, 1], [8, 12, 1]], 'jmap': '(-320*t^8-4096*t^7-15872*t^6-8192*t^5+49664*t^4+16384*t^3-63488*t^2+32768*t-5120)/(t^8-8*t^6+24*t^4-32*t^2+16)', 'kummer_orbits': [[2, 3, 1], [4, 6, 1], [8, 24, 1]], 'label': '8.8.0.1', 'level': 8, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 3, 1], [4, 12, 1], [8, 48, 1]], 'parents': ['4.4.0.1', '8.2.0.1'], 'quadratic_twists': ['8.8.0.1'], 'rank': -1, 'rational_cusps': 0, 'reductions': ['1.1.0.1', '4.4.0.1'], 'scalar_label': '1.1.1'}
88. label: 8.12.0.1
    {'CPlabel': '2C0', 'Emap': ['-27*t^2-81', '54*t^3-486*t'], 'RZBlabel': 'X8c', 'SZlabel': '', 'Slabel': '2Cs', 'children': ['8.24.0.1', '8.24.0.2', '8.24.0.3', '8.24.0.4', '8.24.0.7', '8.24.0.8', '8.24.0.19', '8.24.0.20', '8.24.0.21', '8.24.0.29', '8.24.0.30'], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['8.12.0.1'], 'generators': [[7, 2, 0, 3], [3, 2, 6, 1], [1, 6, 0, 1], [5, 0, 0, 3]], 'genus': 0, 'index': 12, 'isogeny_orbits': [[2, 1, 3], [4, 2, 3], [8, 4, 3]], 'jmap': '0', 'kummer_orbits': [[2, 1, 3], [4, 2, 3], [8, 8, 3]], 'label': '8.12.0.1', 'level': 8, 'missing_children': False, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 3], [4, 4, 3], [8, 16, 3]], 'parents': ['2.6.0.1'], 'quadratic_twists': ['2.6.0.1', '4.12.0.1', '4.12.0.2', '8.12.0.1', '8.12.0.2'], 'rank': -1, 'rational_cusps': 3, 'reductions': ['2.6.0.1', '2.6.0.1'], 'scalar_label': '4.2.1'}
89. label: 8.12.0.2
    {'CPlabel': '2C0', 'Emap': ['-27*t^6-27*t^4+135*t^2-81', '54*t^9-648*t^7+1620*t^5-1512*t^3+486*t'], 'RZBlabel': 'X8a', 'SZlabel': '', 'Slabel': '2Cs', 'children': ['8.24.0.5', '8.24.0.6', '8.24.0.19', '8.24.0.30'], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['8.12.0.2'], 'generators': [[1, 2, 0, 7], [7, 4, 6, 7], [7, 2, 2, 7], [7, 2, 4, 7]], 'genus': 0, 'index': 12, 'isogeny_orbits': [[2, 1, 3], [4, 2, 3], [8, 4, 3]], 'jmap': '0', 'kummer_orbits': [[2, 1, 3], [4, 2, 3], [8, 8, 3]], 'label': '8.12.0.2', 'level': 8, 'missing_children': False, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 3], [4, 4, 3], [8, 16, 3]], 'parents': ['2.6.0.1', '8.4.0.1'], 'quadratic_twists': ['2.6.0.1', '4.12.0.1', '4.12.0.2', '8.12.0.1', '8.12.0.2'], 'rank': -1, 'rational_cusps': 3, 'reductions': ['2.6.0.1', '2.6.0.1'], 'scalar_label': '4.2.1'}
90. label: 8.12.0.3
    {'CPlabel': '4E0', 'Emap': [], 'RZBlabel': 'X38', 'SZlabel': '4E0-8b', 'Slabel': '2Cs', 'children': ['8.24.0.1', '8.24.0.2', '8.24.0.5', '8.24.0.7', '8.24.0.22', '8.24.0.31'], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['8.12.0.3'], 'generators': [[1, 0, 6, 7], [7, 0, 0, 1], [3, 2, 2, 5], [7, 6, 2, 7]], 'genus': 0, 'index': 12, 'isogeny_orbits': [[2, 1, 3], [4, 2, 3], [8, 4, 3]], 'jmap': '(64*t^12-384*t^10+1536*t^8-3584*t^6+6144*t^4-6144*t^2+4096)/(t^8-4*t^6+4*t^4)', 'kummer_orbits': [[2, 1, 3], [4, 2, 3], [8, 8, 3]], 'label': '8.12.0.3', 'level': 8, 'missing_children': False, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 3], [4, 4, 3], [8, 16, 3]], 'parents': ['2.6.0.1', '8.6.0.1', '8.6.0.2'], 'quadratic_twists': ['8.12.0.3', '8.24.0.1', '8.24.0.2', '8.24.0.5', '8.24.0.7'], 'rank': -1, 'rational_cusps': 2, 'reductions': ['2.6.0.1', '2.6.0.1'], 'scalar_label': '1.1.1'}
91. label: 8.12.0.4
    {'CPlabel': '4E0', 'Emap': [], 'RZBlabel': 'X46', 'SZlabel': '4E0-8d', 'Slabel': '2Cs', 'children': ['8.24.0.3', '8.24.0.4', '8.24.0.6', '8.24.0.8', '8.24.0.22'], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['8.12.0.4'], 'generators': [[3, 0, 2, 1], [3, 0, 2, 7], [7, 2, 4, 5], [3, 2, 2, 7]], 'genus': 0, 'index': 12, 'isogeny_orbits': [[2, 1, 3], [4, 2, 3], [8, 4, 3]], 'jmap': '(64*t^12+384*t^10+1536*t^8+3584*t^6+6144*t^4+6144*t^2+4096)/(t^8+4*t^6+4*t^4)', 'kummer_orbits': [[2, 1, 3], [4, 2, 3], [8, 8, 3]], 'label': '8.12.0.4', 'level': 8, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 3], [4, 4, 3], [8, 16, 3]], 'parents': ['2.6.0.1', '8.6.0.3', '8.6.0.4'], 'quadratic_twists': ['8.12.0.4', '8.24.0.3', '8.24.0.4', '8.24.0.6', '8.24.0.8'], 'rank': -1, 'rational_cusps': 2, 'reductions': ['2.6.0.1', '2.6.0.1'], 'scalar_label': '1.1.1'}
92. label: 8.12.0.5
    {'CPlabel': '8C0', 'Emap': [], 'RZBlabel': 'X36', 'SZlabel': '8C0-8d', 'Slabel': '2B', 'children': ['8.24.0.23', '8.24.0.45', '8.24.0.46', '8.24.0.55', '8.24.0.56', '8.24.0.67', '8.24.0.87', '8.24.0.88', '8.24.0.89', '8.24.0.90', '8.24.0.91', '8.24.0.92', '8.24.0.93', '8.24.0.94', '8.24.0.95', '8.24.0.96', '8.24.0.97', '8.24.0.98', '8.24.0.99', '8.24.0.100', '16.24.0.1', '16.24.0.2', '16.24.0.3', '16.24.0.4', '16.24.0.5', '16.24.0.6', '16.24.0.7', '16.24.0.8', '16.24.0.9', '16.24.0.10', '16.24.0.11', '16.24.0.12', '16.24.0.13', '16.24.0.14'], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['8.12.0.5'], 'generators': [[1, 1, 0, 3], [7, 7, 0, 3], [5, 5, 0, 3], [3, 3, 0, 5], [3, 7, 0, 1]], 'genus': 0, 'index': 12, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1]], 'jmap': '(t^12-48*t^10+816*t^8-5632*t^6+13056*t^4-12288*t^2+4096)/(t^4-16*t^2)', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1]], 'label': '8.12.0.5', 'level': 8, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1]], 'parents': ['4.6.0.1'], 'quadratic_twists': ['8.12.0.5', '8.24.0.45', '8.24.0.46', '8.24.0.55', '8.24.0.56', '8.24.0.87', '8.24.0.89', '8.24.0.93', '8.24.0.94', '8.24.0.95', '8.24.0.96', '8.24.0.97', '8.24.0.98', '16.24.0.3', '16.24.0.4', '16.24.0.8', '16.24.0.9', '16.24.0.10', '16.24.0.11', '16.24.0.12', '16.24.0.14'], 'rank': -1, 'rational_cusps': 4, 'reductions': ['2.3.0.1', '4.6.0.1'], 'scalar_label': '1.1.1'}
93. label: 8.12.0.6
    {'CPlabel': '4B0', 'Emap': ['-27*t^2+1296', '54*t^3-3888*t'], 'RZBlabel': 'X13d', 'SZlabel': '', 'Slabel': '2B', 'children': ['8.24.0.24', '8.24.0.45', '8.24.0.47', '8.24.0.55', '8.24.0.57', '8.24.0.68', '8.24.0.101', '8.24.0.102', '8.24.0.103', '8.24.0.104', '8.24.0.105', '8.24.0.106'], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['8.12.0.6'], 'generators': [[1, 3, 0, 7], [1, 3, 0, 1], [3, 4, 4, 1], [7, 1, 4, 5]], 'genus': 0, 'index': 12, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 2, 2], [8, 8, 1]], 'jmap': '0', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 4, 2], [8, 16, 1]], 'label': '8.12.0.6', 'level': 8, 'missing_children': False, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1]], 'parents': ['4.6.0.1'], 'quadratic_twists': ['4.6.0.1', '4.12.0.7', '4.12.0.8', '8.12.0.6', '8.12.0.7', '8.12.0.8', '8.12.0.12', '8.12.0.13', '8.12.0.14'], 'rank': -1, 'rational_cusps': 3, 'reductions': ['2.3.0.1', '4.6.0.1'], 'scalar_label': '4.2.1'}
94. label: 8.12.0.7
    {'CPlabel': '4B0', 'Emap': ['-108*t^4+1728*t^3-1728*t^2-82944*t+331776', '-432*t^6+10368*t^5-51840*t^4-525312*t^3+5971968*t^2-15925248*t'], 'RZBlabel': 'X13g', 'SZlabel': '', 'Slabel': '2B', 'children': ['8.24.0.20', '8.24.0.48', '8.24.0.58', '8.24.0.69', '8.24.0.95', '8.24.0.96', '8.24.0.101', '8.24.0.102', '8.24.0.107', '8.24.0.108', '8.24.0.109', '8.24.0.110'], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['8.12.0.7', '8.12.0.8'], 'generators': [[1, 3, 0, 1], [1, 1, 4, 7], [7, 0, 4, 1], [5, 0, 4, 5]], 'genus': 0, 'index': 12, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 2, 2], [8, 8, 1]], 'jmap': '0', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 4, 2], [8, 16, 1]], 'label': '8.12.0.7', 'level': 8, 'missing_children': False, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [8, 8, 2], [8, 32, 1]], 'parents': ['4.6.0.1'], 'quadratic_twists': ['4.6.0.1', '4.12.0.7', '4.12.0.8', '8.12.0.6', '8.12.0.7', '8.12.0.8', '8.12.0.12', '8.12.0.13', '8.12.0.14'], 'rank': -1, 'rational_cusps': 3, 'reductions': ['2.3.0.1', '4.6.0.1'], 'scalar_label': '4.2.1'}
95. label: 8.12.0.8
    {'CPlabel': '4B0', 'Emap': ['-108*t^4+1728*t^3-1728*t^2-82944*t+331776', '432*t^6-10368*t^5+51840*t^4+525312*t^3-5971968*t^2+15925248*t'], 'RZBlabel': 'X13e', 'SZlabel': '', 'Slabel': '2B', 'children': ['8.24.0.21', '8.24.0.49', '8.24.0.59', '8.24.0.69', '8.24.0.97', '8.24.0.98', '8.24.0.103', '8.24.0.104', '8.24.0.111', '8.24.0.112', '8.24.0.113', '8.24.0.114'], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['8.12.0.7', '8.12.0.8'], 'generators': [[7, 2, 0, 3], [7, 7, 4, 1], [3, 6, 4, 1], [7, 0, 0, 5]], 'genus': 0, 'index': 12, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 2, 2], [8, 8, 1]], 'jmap': '0', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 4, 2], [8, 16, 1]], 'label': '8.12.0.8', 'level': 8, 'missing_children': False, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [8, 8, 2], [8, 32, 1]], 'parents': ['4.6.0.1'], 'quadratic_twists': ['4.6.0.1', '4.12.0.7', '4.12.0.8', '8.12.0.6', '8.12.0.7', '8.12.0.8', '8.12.0.12', '8.12.0.13', '8.12.0.14'], 'rank': -1, 'rational_cusps': 3, 'reductions': ['2.3.0.1', '4.6.0.1'], 'scalar_label': '4.2.1'}
96. label: 8.12.0.9
    {'CPlabel': '8C0', 'Emap': [], 'RZBlabel': 'X34', 'SZlabel': '8C0-8a', 'Slabel': '2B', 'children': ['8.24.0.25', '8.24.0.50', '8.24.0.51', '8.24.0.60', '8.24.0.61', '8.24.0.70', '8.24.0.99', '8.24.0.101', '8.24.0.103', '8.24.0.107', '8.24.0.111', '8.24.0.115'], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['8.12.0.9'], 'generators': [[1, 4, 2, 5], [5, 0, 2, 7], [1, 4, 1, 5], [7, 0, 2, 5]], 'genus': 0, 'index': 12, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 2, 2], [8, 8, 1]], 'jmap': '(4096*t^12-24576*t^10+52224*t^8-45056*t^6+13056*t^4-1536*t^2+64)/(t^4-2*t^2)', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 4, 2], [8, 16, 1]], 'label': '8.12.0.9', 'level': 8, 'missing_children': False, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [8, 8, 2], [8, 32, 1]], 'parents': ['4.6.0.1'], 'quadratic_twists': ['8.12.0.9', '8.24.0.50', '8.24.0.51', '8.24.0.60', '8.24.0.61', '8.24.0.101', '8.24.0.103', '8.24.0.107', '8.24.0.111'], 'rank': -1, 'rational_cusps': 2, 'reductions': ['2.3.0.1', '4.6.0.1'], 'scalar_label': '1.1.1'}
97. label: 8.12.0.10
    {'CPlabel': '8C0', 'Emap': [], 'RZBlabel': 'X32', 'SZlabel': '8C0-8b', 'Slabel': '2B', 'children': ['8.24.0.23', '8.24.0.47', '8.24.0.52', '8.24.0.57', '8.24.0.62', '8.24.0.108', '8.24.0.109', '8.24.0.112', '8.24.0.113', '8.24.0.115', '16.24.0.15', '16.24.0.16', '16.24.0.17', '16.24.0.18', '16.24.0.19', '16.24.0.20'], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['8.12.0.10'], 'generators': [[0, 3, 7, 0], [2, 3, 5, 0], [4, 3, 1, 6], [6, 1, 5, 6]], 'genus': 0, 'index': 12, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 2, 2], [8, 8, 1]], 'jmap': '(256*t^12+3072*t^10+13056*t^8+22528*t^6+13056*t^4+3072*t^2+256)/(t^4+4*t^2)', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 4, 2], [8, 16, 1]], 'label': '8.12.0.10', 'level': 8, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [8, 8, 2], [8, 32, 1]], 'parents': ['4.6.0.1'], 'quadratic_twists': ['8.12.0.10', '8.24.0.47', '8.24.0.52', '8.24.0.57', '8.24.0.62', '8.24.0.108', '8.24.0.109', '8.24.0.112', '8.24.0.113', '16.24.0.16', '16.24.0.18', '16.24.0.19', '16.24.0.20'], 'rank': -1, 'rational_cusps': 2, 'reductions': ['2.3.0.1', '4.6.0.1'], 'scalar_label': '1.1.1'}
98. label: 8.12.0.11
    {'CPlabel': '8C0', 'Emap': [], 'RZBlabel': 'X33', 'SZlabel': '8C0-8c', 'Slabel': '2B', 'children': ['8.24.0.25', '8.24.0.53', '8.24.0.54', '8.24.0.63', '8.24.0.64', '8.24.0.100', '8.24.0.102', '8.24.0.104', '8.24.0.110', '8.24.0.114'], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['8.12.0.11'], 'generators': [[7, 2, 0, 7], [1, 3, 4, 1], [5, 7, 0, 5], [7, 4, 0, 5]], 'genus': 0, 'index': 12, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 2, 2], [8, 8, 1]], 'jmap': '(4096*t^12+24576*t^10+52224*t^8+45056*t^6+13056*t^4+1536*t^2+64)/(t^4+2*t^2)', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 4, 2], [8, 16, 1]], 'label': '8.12.0.11', 'level': 8, 'missing_children': True, 'model': 'P1', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [8, 8, 2], [8, 32, 1]], 'parents': ['4.6.0.1'], 'quadratic_twists': ['8.12.0.11', '8.24.0.53', '8.24.0.54', '8.24.0.63', '8.24.0.64', '8.24.0.102', '8.24.0.104', '8.24.0.110', '8.24.0.114'], 'rank': -1, 'rational_cusps': 2, 'reductions': ['2.3.0.1', '4.6.0.1'], 'scalar_label': '1.1.1'}
99. label: 8.12.0.12
    {'CPlabel': '4B0', 'Emap': ['-108*t^2+5184', '432*t^3-31104*t'], 'RZBlabel': 'X13c', 'SZlabel': '', 'Slabel': '2B', 'children': ['8.24.0.26', '8.24.0.50', '8.24.0.53', '8.24.0.60', '8.24.0.63', '8.24.0.73', '8.24.0.95', '8.24.0.97', '8.24.0.108', '8.24.0.112', '8.24.0.117', '8.24.0.118'], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': [], 'gassmann_class': ['8.12.0.12'], 'generators': [[5, 6, 0, 7], [3, 4, 0, 3], [0, 3, 5, 2], [6, 5, 7, 4]], 'genus': 0, 'index': 12, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 2, 2], [8, 8, 1]], 'jmap': '0', 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 4, 2], [8, 16, 1]], 'label': '8.12.0.12', 'level': 8, 'missing_children': False, 'model': '', 'newforms': [], 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [8, 8, 2], [8, 32, 1]], 'parents': ['4.6.0.1'], 'quadratic_twists': ['4.6.0.1', '4.12.0.7', '4.12.0.8', '8.12.0.6', '8.12.0.7', '8.12.0.8', '8.12.0.12', '8.12.0.13', '8.12.0.14'], 'rank': -1, 'rational_cusps': 3, 'reductions': ['2.3.0.1', '4.6.0.1'], 'scalar_label': '4.2.1'}