Show commands:
SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 60984.cd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 60984.cd1 | 60984q1 | \([0, 0, 0, -1964556, 1061003988]\) | \(-1905527808/2401\) | \(-1056559161354326784\) | \([]\) | \(1537536\) | \(2.3671\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 60984.cd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 60984.cd do not have complex multiplication.Modular form 60984.2.a.cd
sage: E.q_eigenform(10)