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SageMath
E = EllipticCurve("cz1")
E.isogeny_class()
Elliptic curves in class 188760.cz
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 188760.cz1 | 188760o1 | \([0, 1, 0, -144757785, -680893693317]\) | \(-555744752786441216/10135207265625\) | \(-6117961873865444460000000\) | \([]\) | \(47900160\) | \(3.5520\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 188760.cz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 188760.cz do not have complex multiplication.Modular form 188760.2.a.cz
sage: E.q_eigenform(10)