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SageMath
E = EllipticCurve("ci1")
E.isogeny_class()
Elliptic curves in class 22050.ci
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22050.ci1 | 22050i1 | \([1, -1, 0, 17778, -2622124]\) | \(10733445/57344\) | \(-3319766398771200\) | \([]\) | \(179712\) | \(1.6603\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22050.ci1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22050.ci do not have complex multiplication.Modular form 22050.2.a.ci
sage: E.q_eigenform(10)