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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 16650.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16650.e1 | 16650bb1 | \([1, -1, 0, 28323, 4553221]\) | \(137868581419655/572735619072\) | \(-10438106657587200\) | \([]\) | \(103680\) | \(1.7563\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16650.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 16650.e do not have complex multiplication.Modular form 16650.2.a.e
sage: E.q_eigenform(10)