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SageMath
E = EllipticCurve("ky1")
E.isogeny_class()
Elliptic curves in class 374850.ky
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 374850.ky1 | 374850ky1 | \([1, -1, 1, -24299330, -47239472703]\) | \(-1184052061112257/34349180544\) | \(-46031187106055466000000\) | \([]\) | \(34836480\) | \(3.1278\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 374850.ky1 has rank \(1\).
Complex multiplication
The elliptic curves in class 374850.ky do not have complex multiplication.Modular form 374850.2.a.ky
sage: E.q_eigenform(10)