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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 360789q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 360789.q1 | 360789q1 | \([0, -1, 1, -138204, 23825117]\) | \(-583585792/150579\) | \(-75326604617254419\) | \([]\) | \(4844160\) | \(1.9556\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 360789q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 360789q do not have complex multiplication.Modular form 360789.2.a.q
sage: E.q_eigenform(10)