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SageMath
E = EllipticCurve("hq1")
E.isogeny_class()
Elliptic curves in class 159936.hq
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 159936.hq1 | 159936gf1 | \([0, 1, 0, 13826559, -87150377889]\) | \(3947714094191/46599266304\) | \(-3450638002405955258548224\) | \([]\) | \(22643712\) | \(3.3893\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159936.hq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 159936.hq do not have complex multiplication.Modular form 159936.2.a.hq
sage: E.q_eigenform(10)