Show commands:
SageMath
E = EllipticCurve("cl1")
E.isogeny_class()
Elliptic curves in class 54208cl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54208.c1 | 54208cl1 | \([0, 0, 0, 968, 2662]\) | \(884736/539\) | \(-61111768256\) | \([]\) | \(69120\) | \(0.75887\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54208cl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 54208cl do not have complex multiplication.Modular form 54208.2.a.cl
sage: E.q_eigenform(10)