Show commands:
SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 162288.s
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 162288.s1 | 162288gc1 | \([0, 0, 0, -2122659, -1193598126]\) | \(-1070969436979596/3404825447\) | \(-3362653987217150976\) | \([]\) | \(3677184\) | \(2.4218\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162288.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 162288.s do not have complex multiplication.Modular form 162288.2.a.s
sage: E.q_eigenform(10)