Show commands:
SageMath
E = EllipticCurve("jb1")
E.isogeny_class()
Elliptic curves in class 100800jb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100800.gn1 | 100800jb1 | \([0, 0, 0, 23220, -3907440]\) | \(10733445/57344\) | \(-7397061112627200\) | \([]\) | \(718848\) | \(1.7271\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100800jb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 100800jb do not have complex multiplication.Modular form 100800.2.a.jb
sage: E.q_eigenform(10)