Show commands:
SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 47432x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 47432.q1 | 47432x1 | \([0, 1, 0, -22304, 1039520]\) | \(6902546/1331\) | \(236624766687232\) | \([]\) | \(138240\) | \(1.4753\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47432x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 47432x do not have complex multiplication.Modular form 47432.2.a.x
sage: E.q_eigenform(10)