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SageMath
sage: E = EllipticCurve("f1")
sage: E.isogeny_class()
Elliptic curves in class 25200.f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 25200.f1 | 25200ec1 | [0, 0, 0, 7200, 715500] | [] | 80640 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25200.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 25200.f do not have complex multiplication.Modular form 25200.2.a.f
sage: E.q_eigenform(10)