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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 260100.x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 260100.x1 | 260100x1 | \([0, 0, 0, -663255, 202956030]\) | \(36720\) | \(878744535751699200\) | \([]\) | \(2908224\) | \(2.2232\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 260100.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 260100.x do not have complex multiplication.Modular form 260100.2.a.x
sage: E.q_eigenform(10)