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SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 154800.ce
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 154800.ce1 | 154800ca1 | \([0, 0, 0, -1045200, 412733500]\) | \(-43304636317696/176326875\) | \(-514169167500000000\) | \([]\) | \(2359296\) | \(2.2546\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 154800.ce1 has rank \(0\).
Complex multiplication
The elliptic curves in class 154800.ce do not have complex multiplication.Modular form 154800.2.a.ce
sage: E.q_eigenform(10)