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SageMath
E = EllipticCurve("cs1")
E.isogeny_class()
Elliptic curves in class 64800.cs
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 64800.cs1 | 64800bh1 | \([0, 0, 0, -6300, 612000]\) | \(-592704/3125\) | \(-145800000000000\) | \([]\) | \(276480\) | \(1.4020\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64800.cs1 has rank \(0\).
Complex multiplication
The elliptic curves in class 64800.cs do not have complex multiplication.Modular form 64800.2.a.cs
sage: E.q_eigenform(10)