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SageMath
E = EllipticCurve("cs1")
E.isogeny_class()
Elliptic curves in class 226512.cs
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 226512.cs1 | 226512du1 | \([0, 0, 0, 1485, 10098]\) | \(37125/26\) | \(-253635452928\) | \([]\) | \(152064\) | \(0.87678\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 226512.cs1 has rank \(1\).
Complex multiplication
The elliptic curves in class 226512.cs do not have complex multiplication.Modular form 226512.2.a.cs
sage: E.q_eigenform(10)