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SageMath
E = EllipticCurve("ij1")
E.isogeny_class()
Elliptic curves in class 159936ij
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 159936.f1 | 159936ij1 | \([0, -1, 0, -1346977, -601261919]\) | \(1717641340122148/3011499\) | \(473865197912064\) | \([]\) | \(2027520\) | \(2.0753\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159936ij1 has rank \(1\).
Complex multiplication
The elliptic curves in class 159936ij do not have complex multiplication.Modular form 159936.2.a.ij
sage: E.q_eigenform(10)