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SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 257600cd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 257600.cd1 | 257600cd1 | \([0, -1, 0, -207154533, -1147528938563]\) | \(-3840316976122235063296/27784071875\) | \(-7112722400000000000\) | \([]\) | \(27648000\) | \(3.2138\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 257600cd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 257600cd do not have complex multiplication.Modular form 257600.2.a.cd
sage: E.q_eigenform(10)