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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 39600z
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 39600.dn1 | 39600z1 | \([0, 0, 0, -795, -8710]\) | \(-2977540/33\) | \(-615859200\) | \([]\) | \(15360\) | \(0.50150\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39600z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 39600z do not have complex multiplication.Modular form 39600.2.a.z
sage: E.q_eigenform(10)