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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 96192z
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 96192.y1 | 96192z1 | \([0, 0, 0, 324564, 22631888]\) | \(19785968032823/12608077824\) | \(-2409441193806004224\) | \([]\) | \(1695744\) | \(2.2161\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96192z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 96192z do not have complex multiplication.Modular form 96192.2.a.z
sage: E.q_eigenform(10)