Show commands:
SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 202800.f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 202800.f1 | 202800eo1 | \([0, -1, 0, -2522888, 1112382192]\) | \(125801065/34992\) | \(493971901110293299200\) | \([]\) | \(10063872\) | \(2.6780\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 202800.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 202800.f do not have complex multiplication.Modular form 202800.2.a.f
sage: E.q_eigenform(10)