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SageMath
E = EllipticCurve("jy1")
E.isogeny_class()
Elliptic curves in class 487872jy
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 487872.jy1 | 487872jy1 | \([0, 0, 0, -1854732, 974589968]\) | \(-30515071121161/85766121\) | \(-1983209476532207616\) | \([]\) | \(10616832\) | \(2.3832\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 487872jy1 has rank \(0\).
Complex multiplication
The elliptic curves in class 487872jy do not have complex multiplication.Modular form 487872.2.a.jy
sage: E.q_eigenform(10)