Show commands:
SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 8280f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 8280.a1 | 8280f1 | \([0, 0, 0, 68532, -30368108]\) | \(190737654201344/2245153696875\) | \(-418999563525600000\) | \([]\) | \(76800\) | \(2.0623\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8280f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8280f do not have complex multiplication.Modular form 8280.2.a.f
sage: E.q_eigenform(10)