Show commands:
SageMath
E = EllipticCurve("cu1")
E.isogeny_class()
Elliptic curves in class 162288.cu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162288.cu1 | 162288fb1 | \([0, 0, 0, -12495, -540911]\) | \(-157216000/1127\) | \(-1546534693872\) | \([]\) | \(276480\) | \(1.1713\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162288.cu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 162288.cu do not have complex multiplication.Modular form 162288.2.a.cu
sage: E.q_eigenform(10)