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SageMath
E = EllipticCurve("cs1")
E.isogeny_class()
Elliptic curves in class 25200cs
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 25200.r1 | 25200cs1 | \([0, 0, 0, 5805, -488430]\) | \(10733445/57344\) | \(-115579079884800\) | \([]\) | \(89856\) | \(1.3805\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25200cs1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25200cs do not have complex multiplication.Modular form 25200.2.a.cs
sage: E.q_eigenform(10)