Show commands:
SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 22320cd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 22320.bj1 | 22320cd1 | \([0, 0, 0, -1497707787, 23118580917434]\) | \(-124427822010671478697670089/5317924709672681472000\) | \(-15879238096287272112488448000\) | \([]\) | \(17487360\) | \(4.1773\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22320cd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 22320cd do not have complex multiplication.Modular form 22320.2.a.cd
sage: E.q_eigenform(10)