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SageMath
E = EllipticCurve("gp1")
E.isogeny_class()
Elliptic curves in class 33600.gp
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 33600.gp1 | 33600do1 | \([0, 1, 0, -10072833, -12316773537]\) | \(-1103770289367265/891813888\) | \(-91321742131200000000\) | \([]\) | \(2188800\) | \(2.7597\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33600.gp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 33600.gp do not have complex multiplication.Modular form 33600.2.a.gp
sage: E.q_eigenform(10)