Show commands:
SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 87120.bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
87120.bu1 | 87120u1 | \([0, 0, 0, -152823, 22996897]\) | \(-2311381447936/234375\) | \(-40024833750000\) | \([]\) | \(365568\) | \(1.6436\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 87120.bu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 87120.bu do not have complex multiplication.Modular form 87120.2.a.bu
sage: E.q_eigenform(10)