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SageMath
E = EllipticCurve("de1")
E.isogeny_class()
Elliptic curves in class 172480.de
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 172480.de1 | 172480cj1 | \([0, 0, 0, 1372, -19208]\) | \(48384/55\) | \(-324673592320\) | \([]\) | \(161280\) | \(0.89525\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 172480.de1 has rank \(0\).
Complex multiplication
The elliptic curves in class 172480.de do not have complex multiplication.Modular form 172480.2.a.de
sage: E.q_eigenform(10)