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SageMath
E = EllipticCurve("de1")
E.isogeny_class()
Elliptic curves in class 162288de
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 162288.bi1 | 162288de1 | \([0, 0, 0, 3024, -27216]\) | \(774144/529\) | \(-2089791664128\) | \([]\) | \(230400\) | \(1.0526\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162288de1 has rank \(2\).
Complex multiplication
The elliptic curves in class 162288de do not have complex multiplication.Modular form 162288.2.a.de
sage: E.q_eigenform(10)