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SageMath
E = EllipticCurve("cz1")
E.isogeny_class()
Elliptic curves in class 217800cz
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 217800.eo1 | 217800cz1 | \([0, 0, 0, -1633500, 808582500]\) | \(-138240\) | \(-3486963516300000000\) | \([]\) | \(3686400\) | \(2.3900\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 217800cz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 217800cz do not have complex multiplication.Modular form 217800.2.a.cz
sage: E.q_eigenform(10)