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SageMath
E = EllipticCurve("di1")
E.isogeny_class()
Elliptic curves in class 162450di
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 162450.k1 | 162450di1 | \([1, -1, 0, -1073862, 518029726]\) | \(-442458985/118098\) | \(-36554334990591928050\) | \([]\) | \(5253120\) | \(2.4703\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162450di1 has rank \(0\).
Complex multiplication
The elliptic curves in class 162450di do not have complex multiplication.Modular form 162450.2.a.di
sage: E.q_eigenform(10)