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SageMath
E = EllipticCurve("kh1")
E.isogeny_class()
Elliptic curves in class 487872kh
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 487872.kh1 | 487872kh1 | \([0, 0, 0, -1134012, -503767528]\) | \(-91625216/9261\) | \(-16301198489466756096\) | \([]\) | \(9732096\) | \(2.4265\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 487872kh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 487872kh do not have complex multiplication.Modular form 487872.2.a.kh
sage: E.q_eigenform(10)