LMFDB label |
Cremona label |
Weierstrass coefficients |
j-invariant |
Discriminant |
Torsion structure |
Modular degree |
Faltings height |
Optimality |
5040.k7 |
5040bi1 |
[0,0,0,30237,1524962] |
1023887723039/928972800 |
−2773897917235200 |
[2] |
24576 |
1.6506
|
Γ0(N)-optimal |
5040.k6 |
5040bi2 |
[0,0,0,−154083,13653218] |
135487869158881/51438240000 |
153593761628160000 |
[2,2] |
49152 |
1.9972
|
|
5040.k5 |
5040bi3 |
[0,0,0,−1087203,−426592798] |
47595748626367201/1215506250000 |
3629482214400000000 |
[2,2] |
98304 |
2.3437
|
|
5040.k4 |
5040bi4 |
[0,0,0,−2170083,1230107618] |
378499465220294881/120530818800 |
359903096443699200 |
[2] |
98304 |
2.3437
|
|
5040.k2 |
5040bi5 |
[0,0,0,−17287203,−27665272798] |
191342053882402567201/129708022500 |
387306079856640000 |
[2,2] |
196608 |
2.6903
|
|
5040.k8 |
5040bi6 |
[0,0,0,182877,−1363657822] |
226523624554079/269165039062500 |
−803722500000000000000 |
[2] |
196608 |
2.6903
|
|
5040.k1 |
5040bi7 |
[0,0,0,−276595203,−1770578063998] |
783736670177727068275201/360150 |
1075402137600 |
[2] |
393216 |
3.0369
|
|
5040.k3 |
5040bi8 |
[0,0,0,−17179203,−28028001598] |
−187778242790732059201/4984939585440150 |
−14884949843090920857600 |
[2] |
393216 |
3.0369
|
|