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SageMath
E = EllipticCurve("ej1")
E.isogeny_class()
Elliptic curves in class 92736ej
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 92736.dv1 | 92736ej1 | \([0, 0, 0, -354252, -81431152]\) | \(-25727239787761/101406816\) | \(-19379144324284416\) | \([]\) | \(552960\) | \(1.9828\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92736ej1 has rank \(0\).
Complex multiplication
The elliptic curves in class 92736ej do not have complex multiplication.Modular form 92736.2.a.ej
sage: E.q_eigenform(10)