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SageMath
sage: E = EllipticCurve("z1")
sage: E.isogeny_class()
Elliptic curves in class 369600.z
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 369600.z1 | 369600z1 | \([0, -1, 0, 54467, -2570813]\) | \(17869652393984/13156171875\) | \(-13156171875000000\) | \([]\) | \(2709504\) | \(1.7812\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 369600.z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 369600.z do not have complex multiplication.Modular form 369600.2.a.z
sage: E.q_eigenform(10)