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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 381150.z
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 381150.z1 | 381150z1 | \([1, -1, 0, -1167117, 539117541]\) | \(-12524640009705/1686616064\) | \(-23676531832800000000\) | \([]\) | \(10644480\) | \(2.4499\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 381150.z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 381150.z do not have complex multiplication.Modular form 381150.2.a.z
sage: E.q_eigenform(10)