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SageMath
E = EllipticCurve("de1")
E.isogeny_class()
Elliptic curves in class 84966.de
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 84966.de1 | 84966dg1 | \([1, 1, 1, 88836, -4318371]\) | \(2280364702703/1560674304\) | \(-53063801874284544\) | \([]\) | \(1175040\) | \(1.8978\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84966.de1 has rank \(1\).
Complex multiplication
The elliptic curves in class 84966.de do not have complex multiplication.Modular form 84966.2.a.de
sage: E.q_eigenform(10)