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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 16560.k
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 16560.k1 | 16560j1 | \([0, 0, 0, -3, -623]\) | \(-256/14375\) | \(-167670000\) | \([]\) | \(3840\) | \(0.25702\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16560.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 16560.k do not have complex multiplication.Modular form 16560.2.a.k
sage: E.q_eigenform(10)