Show commands:
SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 33800p
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 33800.v1 | 33800p1 | \([0, 1, 0, -1775908, 910318813]\) | \(3037375744/25\) | \(5098317006250000\) | \([]\) | \(359424\) | \(2.1843\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33800p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 33800p do not have complex multiplication.Modular form 33800.2.a.p
sage: E.q_eigenform(10)