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SageMath
E = EllipticCurve("cs1")
E.isogeny_class()
Elliptic curves in class 144150.cs
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 144150.cs1 | 144150bv1 | \([1, 1, 1, 2341937, -756130219]\) | \(102437538839/77137920\) | \(-1069690436635680000000\) | \([]\) | \(10137600\) | \(2.7233\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 144150.cs1 has rank \(1\).
Complex multiplication
The elliptic curves in class 144150.cs do not have complex multiplication.Modular form 144150.2.a.cs
sage: E.q_eigenform(10)