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SageMath
sage: E = EllipticCurve("i1")
sage: E.isogeny_class()
Elliptic curves in class 22050i
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 22050.ci1 | 22050i1 | [1, -1, 0, 17778, -2622124] | [] | 179712 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22050i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22050i do not have complex multiplication.Modular form 22050.2.a.i
sage: E.q_eigenform(10)