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SageMath
sage: E = EllipticCurve("x1")
sage: E.isogeny_class()
Elliptic curves in class 221067x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 221067.x1 | 221067x1 | [1, -1, 0, -2588031, -1603683284] | [] | 5760000 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 221067x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 221067x do not have complex multiplication.Modular form 221067.2.a.x
sage: E.q_eigenform(10)