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SageMath
E = EllipticCurve("ou1")
E.isogeny_class()
Elliptic curves in class 388080.ou
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 388080.ou1 | 388080ou1 | \([0, 0, 0, -866214552, -9817138886996]\) | \(-3273741656681120014336/1733575611796875\) | \(-38062606255109071020000000\) | \([]\) | \(139345920\) | \(3.8584\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388080.ou1 has rank \(0\).
Complex multiplication
The elliptic curves in class 388080.ou do not have complex multiplication.Modular form 388080.2.a.ou
sage: E.q_eigenform(10)