Show commands:
SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 60840.cc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 60840.cc1 | 60840cb1 | \([0, 0, 0, -525252, 146522324]\) | \(-17790954496/195\) | \(-175655688549120\) | \([]\) | \(645120\) | \(1.8875\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 60840.cc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 60840.cc do not have complex multiplication.Modular form 60840.2.a.cc
sage: E.q_eigenform(10)