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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 84150.w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 84150.w1 | 84150dk1 | \([1, -1, 0, 560133, -1236546459]\) | \(68251027208495/2358592929792\) | \(-671646189772800000000\) | \([]\) | \(3575040\) | \(2.6763\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84150.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 84150.w do not have complex multiplication.Modular form 84150.2.a.w
sage: E.q_eigenform(10)