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SageMath
E = EllipticCurve("ci1")
E.isogeny_class()
Elliptic curves in class 254016.ci
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 254016.ci1 | 254016ci1 | \([0, 0, 0, -588, 2744]\) | \(2304\) | \(9758278656\) | \([]\) | \(126720\) | \(0.61294\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254016.ci1 has rank \(0\).
Complex multiplication
The elliptic curves in class 254016.ci do not have complex multiplication.Modular form 254016.2.a.ci
sage: E.q_eigenform(10)