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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 5550.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5550.f1 | 5550f1 | \([1, 1, 0, -47700, -4029750]\) | \(30727911305065/161838\) | \(63217968750\) | \([]\) | \(21840\) | \(1.2682\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5550.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5550.f do not have complex multiplication.Modular form 5550.2.a.f
sage: E.q_eigenform(10)