Show commands:
SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 155526bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
155526.ce1 | 155526bp1 | \([1, 1, 1, 235776876, 935222011989]\) | \(83228502970940543/69854999176704\) | \(-1216613827234301684822828544\) | \([]\) | \(100362240\) | \(3.8848\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155526bp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 155526bp do not have complex multiplication.Modular form 155526.2.a.bp
sage: E.q_eigenform(10)