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SageMath
sage: E = EllipticCurve("f1")
sage: E.isogeny_class()
Elliptic curves in class 221067.f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 221067.f1 | 221067d1 | [1, -1, 1, -23, -424542] | [] | 414720 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 221067.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 221067.f do not have complex multiplication.Modular form 221067.2.a.f
sage: E.q_eigenform(10)