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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 57960.f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 57960.f1 | 57960h1 | \([0, 0, 0, -18643908, 30985145732]\) | \(-3840316976122235063296/27784071875\) | \(-5185174629600000\) | \([]\) | \(2160000\) | \(2.6118\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57960.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 57960.f do not have complex multiplication.Modular form 57960.2.a.f
sage: E.q_eigenform(10)