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SageMath
E = EllipticCurve("jz1")
E.isogeny_class()
Elliptic curves in class 178752jz
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 178752.dj1 | 178752jz1 | \([0, -1, 0, 204819935, 904335968929]\) | \(628805222251722551/597713542447104\) | \(-903269483076021803104075776\) | \([]\) | \(75866112\) | \(3.8595\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 178752jz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 178752jz do not have complex multiplication.Modular form 178752.2.a.jz
sage: E.q_eigenform(10)