LMFDB label |
Cremona label |
Weierstrass coefficients |
j-invariant |
Discriminant |
Torsion structure |
Modular degree |
Faltings height |
Optimality |
12675.j6 |
12675e1 |
[1,1,1,−464838,121785906] |
147281603041/5265 |
397080459140625 |
[4] |
96768 |
1.8903
|
Γ0(N)-optimal |
12675.j5 |
12675e2 |
[1,1,1,−485963,110082656] |
168288035761/27720225 |
2090628617375390625 |
[2,2] |
193536 |
2.2369
|
|
12675.j4 |
12675e3 |
[1,1,1,−2197088,−1149305344] |
15551989015681/1445900625 |
109048221091494140625 |
[2,2] |
387072 |
2.5835
|
|
12675.j7 |
12675e4 |
[1,1,1,887162,620885156] |
1023887723039/2798036865 |
−211024836286152890625 |
[2] |
387072 |
2.5835
|
|
12675.j2 |
12675e5 |
[1,1,1,−34328213,−77428596094] |
59319456301170001/594140625 |
44809426812744140625 |
[2,2] |
774144 |
2.9300
|
|
12675.j8 |
12675e6 |
[1,1,1,2556037,−5436624094] |
24487529386319/183539412225 |
−13842338855974062890625 |
[2] |
774144 |
2.9300
|
|
12675.j1 |
12675e7 |
[1,1,1,−549250088,−4954768596094] |
242970740812818720001/24375 |
1838335458984375 |
[2] |
1548288 |
3.2766
|
|
12675.j3 |
12675e8 |
[1,1,1,−33504338,−81320581594] |
−55150149867714721/5950927734375 |
−448812367916107177734375 |
[2] |
1548288 |
3.2766
|
|