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SageMath
E = EllipticCurve("cs1")
E.isogeny_class()
Elliptic curves in class 303450.cs
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 303450.cs1 | 303450cs1 | \([1, 0, 1, -657626, 232443398]\) | \(-288568081/47250\) | \(-5150070923238281250\) | \([]\) | \(7931520\) | \(2.3179\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450.cs1 has rank \(0\).
Complex multiplication
The elliptic curves in class 303450.cs do not have complex multiplication.Modular form 303450.2.a.cs
sage: E.q_eigenform(10)