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SageMath
E = EllipticCurve("cs1")
E.isogeny_class()
Elliptic curves in class 236992.cs
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 236992.cs1 | 236992cs1 | \([0, 0, 0, -243340, 49252016]\) | \(-621000/49\) | \(-125738623918702592\) | \([]\) | \(4733952\) | \(2.0281\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 236992.cs1 has rank \(0\).
Complex multiplication
The elliptic curves in class 236992.cs do not have complex multiplication.Modular form 236992.2.a.cs
sage: E.q_eigenform(10)