Show commands:
SageMath
E = EllipticCurve("ji1")
E.isogeny_class()
Elliptic curves in class 139650.ji
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
139650.ji1 | 139650cn1 | \([1, 0, 0, -638, 116892]\) | \(-60025/12312\) | \(-5891484375000\) | \([]\) | \(311040\) | \(1.1297\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 139650.ji1 has rank \(0\).
Complex multiplication
The elliptic curves in class 139650.ji do not have complex multiplication.Modular form 139650.2.a.ji
sage: E.q_eigenform(10)