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SageMath
E = EllipticCurve("fb1")
E.isogeny_class()
Elliptic curves in class 100800.fb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100800.fb1 | 100800oo1 | \([0, 0, 0, -90655500, -332462230000]\) | \(-1103770289367265/891813888\) | \(-66573550013644800000000\) | \([]\) | \(17510400\) | \(3.3090\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100800.fb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 100800.fb do not have complex multiplication.Modular form 100800.2.a.fb
sage: E.q_eigenform(10)