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SageMath
E = EllipticCurve("fo1")
E.isogeny_class()
Elliptic curves in class 22050.fo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22050.fo1 | 22050eu1 | \([1, -1, 1, -1981055, 1160833447]\) | \(-1026590625/100352\) | \(-84050798580000000000\) | \([]\) | \(887040\) | \(2.5641\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22050.fo1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22050.fo do not have complex multiplication.Modular form 22050.2.a.fo
sage: E.q_eigenform(10)