Show commands:
SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 54080cd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 54080.x1 | 54080cd1 | \([0, -1, 0, -38081, -97319]\) | \(43264/25\) | \(3529177391334400\) | \([]\) | \(239616\) | \(1.6728\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54080cd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 54080cd do not have complex multiplication.Modular form 54080.2.a.cd
sage: E.q_eigenform(10)