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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 106560.f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 106560.f1 | 106560ci1 | \([0, 0, 0, -5628, -162502]\) | \(422550360064/23125\) | \(1078920000\) | \([]\) | \(115200\) | \(0.79941\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106560.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 106560.f do not have complex multiplication.Modular form 106560.2.a.f
sage: E.q_eigenform(10)