Show commands:
SageMath
E = EllipticCurve("jl1")
E.isogeny_class()
Elliptic curves in class 463680jl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
463680.jl1 | 463680jl1 | \([0, 0, 0, -74575632, 247881165856]\) | \(-3840316976122235063296/27784071875\) | \(-331851176294400000\) | \([]\) | \(34560000\) | \(2.9584\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 463680jl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 463680jl do not have complex multiplication.Modular form 463680.2.a.jl
sage: E.q_eigenform(10)