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SageMath
E = EllipticCurve("de1")
E.isogeny_class()
Elliptic curves in class 253575.de
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 253575.de1 | 253575de1 | \([0, 0, 1, 321584550, -4994512490844]\) | \(2744564518708084736/9629735831296875\) | \(-12904767007891302627685546875\) | \([]\) | \(86261760\) | \(4.0769\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 253575.de1 has rank \(0\).
Complex multiplication
The elliptic curves in class 253575.de do not have complex multiplication.Modular form 253575.2.a.de
sage: E.q_eigenform(10)