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SageMath
E = EllipticCurve("cs1")
E.isogeny_class()
Elliptic curves in class 35280cs
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 35280.df1 | 35280cs1 | \([0, 0, 0, -181692, -30709476]\) | \(-30211716096/1071875\) | \(-23534223602400000\) | \([]\) | \(322560\) | \(1.9137\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35280cs1 has rank \(0\).
Complex multiplication
The elliptic curves in class 35280cs do not have complex multiplication.Modular form 35280.2.a.cs
sage: E.q_eigenform(10)