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| Column |
Type |
Example |
| a_s |
smallint |
5 |
| abc |
smallint[] |
[5, 5, 5] |
| aut_group |
jsonb |
[[1, 2, 3, 4, 5]] |
| b_s |
smallint |
5 |
| base_field |
numeric[] |
[-1, 1] |
| base_field_label |
text |
'1.1.1.1' |
| c_s |
smallint |
5 |
| curve |
text |
'y^2=x^6 + 567/512*x^4 + 111537/1048576*x^2 + 531441/33554432' |
| curve_label |
text |
|
| deg |
smallint |
5 |
| embeddings |
jsonb |
[[1.0, 0.0]] |
| friends |
text[] |
[] |
| g |
smallint |
2 |
| geomtype |
text |
'H' |
| group |
text |
'5T4' |
| group_num |
smallint |
4 |
| is_primitive |
boolean |
True |
| label |
text |
'5T4-5_5_5-a' |
| lambdas |
jsonb |
[[5], [5], [5]] |
| map |
text |
'(x^2 + 243/1024)/(x^5 - 45/32*x^4 + 405/512*x^3 - 3645/16384*x^2 + 32805/1048576*x - 59049/33554432... |
| models |
jsonb |
|
| moduli_field |
numeric[] |
[-1, 1] |
| moduli_field_label |
text |
'1.1.1.1' |
| old_label |
text |
'5T4-[5,5,5]-5-5-5-g2-a' |
| old_plabel |
text |
'5T4-[5,5,5]-5-5-5-g2' |
| orbit_size |
smallint |
1 |
| pass_size |
smallint |
1 |
| plabel |
text |
'5T4-5_5_5' |
| primitivization |
text |
'5T4-5_5_5-a' |
| specializations |
jsonb |
|
| triples |
jsonb |
[[[2, 3, 4, 5, 1], [3, 5, 4, 2, 1], [2, 5, 4, 1, 3]]] |
| triples_cyc |
jsonb |
[['(1, 2, 3, 4, 5)', '(1, 3, 4, 2, 5)', '(1, 2, 5, 3, 4)']] |
{'a_s': 4, 'abc': [5, 5, 4], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 5, 'base_field': [16, -8, -1, -2, 1], 'base_field_label': '4.2.24000.2', 'c_s': 5, 'curve': 'y^2=x^3 + 1/1500*(461873*nu^3 + 303251*nu^2 + 343853*nu - 2781873)*x + 1/675000*(13006663061*nu^3 + 8539985708*nu^2 + 9680539295*nu - 78336123534)', 'deg': 6, 'embeddings': [[1.505692194778891, 0.0], [-1.08113883008419, 1.68259883218912], [-1.08113883008419, -1.68259883218912], [2.656585465389488, 0.0]], 'friends': [], 'g': 1, 'geomtype': 'H', 'group': '6T15', 'group_num': 15, 'id': 92, 'is_primitive': True, 'label': '6T15-5.1_5.1_4.2-b', 'lambdas': [[5, 1], [5, 1], [4, 2]], 'map': '(1/3125*(-31527800*nu^3 - 20700720*nu^2 - 23465160*nu + 189884384)*x^2 + 1/234375*(667862685584*nu^3 + 438508932960*nu^2 + 497073766512*nu - 4022382527744)*x + 1/3515625*(-716301533739154*nu^3 - 470313175889460*nu^2 - 533125613509662*nu + 4314118513837096))/(x^6 + 1/50*(-1131*nu^3 - 740*nu^2 - 833*nu + 6766)*x^5 + 1/1500*(5443267*nu^3 + 3573921*nu^2 + 4051335*nu - 32783419)*x^4 + 1/337500*(-91020619129*nu^3 - 59762809996*nu^2 - 67744454251*nu + 548196201750)*x^3 + 1/6750000*(68843774109252*nu^3 + 45201821455427*nu^2 + 51238728028718*nu - 414630133672123)*x^2 + 1/1012500000*(-194084609998403927*nu^3 - 127433133986179752*nu^2 - 144452401534186749*nu + 1168926729602978414)*x + 1/91125000000*(129935425649034842257*nu^3 + 85313711920499276485*nu^2 + 96707741436728541721*nu - 782571024900021213807))*y + (1/3125*(31527800*nu^3 + 20700720*nu^2 + 23465160*nu - 189884384)*x^3 + 1/78125*(-89049596772*nu^3 - 58468670984*nu^2 - 66277423292*nu + 536325129328)*x^2 + 1/5859375*(-5512733509739330*nu^3 - 3619580697094804*nu^2 - 4102991960818414*nu + 33201919270033768)*x + 1/1318359375*(165864531274466967767*nu^3 + 108904240458457394862*nu^2 + 123448891046743261569*nu - 998963720522495422964))/(x^6 + 1/50*(-1131*nu^3 - 740*nu^2 - 833*nu + 6766)*x^5 + 1/1500*(5443267*nu^3 + 3573921*nu^2 + 4051335*nu - 32783419)*x^4 + 1/337500*(-91020619129*nu^3 - 59762809996*nu^2 - 67744454251*nu + 548196201750)*x^3 + 1/6750000*(68843774109252*nu^3 + 45201821455427*nu^2 + 51238728028718*nu - 414630133672123)*x^2 + 1/1012500000*(-194084609998403927*nu^3 - 127433133986179752*nu^2 - 144452401534186749*nu + 1168926729602978414)*x + 1/91125000000*(129935425649034842257*nu^3 + 85313711920499276485*nu^2 + 96707741436728541721*nu - 782571024900021213807))', 'moduli_field': [16, -8, -1, -2, 1], 'moduli_field_label': '4.2.24000.2', 'old_label': '6T15-[5,5,4]-51-51-42-g1-b', 'old_plabel': '6T15-[5,5,4]-51-51-42-g1', 'orbit_size': 4, 'pass_size': 8, 'plabel': '6T15-5.1_5.1_4.2', 'primitivization': '6T15-5.1_5.1_4.2-b', 'triples': [[[2, 3, 5, 4, 6, 1], [4, 6, 1, 2, 5, 3], [2, 3, 4, 1, 6, 5]], [[5, 1, 3, 6, 4, 2], [5, 2, 6, 3, 4, 1], [2, 3, 4, 1, 6, 5]], [[4, 6, 3, 5, 2, 1], [1, 6, 5, 3, 2, 4], [2, 3, 4, 1, 6, 5]], [[3, 4, 2, 5, 1, 6], [2, 5, 3, 1, 6, 4], [2, 3, 4, 1, 6, 5]]], 'triples_cyc': [['(1, 2, 3, 5, 6)', '(1, 4, 2, 6, 3)', '(1, 2, 3, 4)(5, 6)'], ['(1, 5, 4, 6, 2)', '(1, 5, 4, 3, 6)', '(1, 2, 3, 4)(5, 6)'], ['(1, 4, 5, 2, 6)', '(2, 6, 4, 3, 5)', '(1, 2, 3, 4)(5, 6)'], ['(1, 3, 2, 4, 5)', '(1, 2, 5, 6, 4)', '(1, 2, 3, 4)(5, 6)']]}
