Show commands:
SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 6018.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6018.j1 | 6018j1 | \([1, 0, 0, 40, 96]\) | \(7066834559/7799328\) | \(-7799328\) | \([]\) | \(2000\) | \(0.0089890\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6018.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6018.j do not have complex multiplication.Modular form 6018.2.a.j
sage: E.q_eigenform(10)