Show commands:
SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 54208w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 54208.bc1 | 54208w1 | \([0, -1, 0, 965419, -618566771]\) | \(2575826944/5764801\) | \(-222709337407889260544\) | \([]\) | \(1216512\) | \(2.5885\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54208w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 54208w do not have complex multiplication.Modular form 54208.2.a.w
sage: E.q_eigenform(10)