Show commands:
SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 281775x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 281775.x1 | 281775x1 | \([0, -1, 1, -24083, -1545682]\) | \(-47349760/4563\) | \(-148869657421875\) | \([]\) | \(738720\) | \(1.4608\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 281775x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 281775x do not have complex multiplication.Modular form 281775.2.a.x
sage: E.q_eigenform(10)