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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 162288k
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 162288.i1 | 162288k1 | \([0, 0, 0, 462021, -502995094]\) | \(633631943/6716184\) | \(-115609728739372793856\) | \([]\) | \(5419008\) | \(2.5308\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162288k1 has rank \(2\).
Complex multiplication
The elliptic curves in class 162288k do not have complex multiplication.Modular form 162288.2.a.k
sage: E.q_eigenform(10)