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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 90160bj
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 90160.cz1 | 90160bj1 | \([0, -1, 0, -800, -277360]\) | \(-196/115\) | \(-33264285322240\) | \([]\) | \(180096\) | \(1.2737\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 90160bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 90160bj do not have complex multiplication.Modular form 90160.2.a.bj
sage: E.q_eigenform(10)