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SageMath
E = EllipticCurve("er1")
E.isogeny_class()
Elliptic curves in class 89280er
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 89280.u1 | 89280er1 | \([0, 0, 0, -5990831148, 184948647339472]\) | \(-124427822010671478697670089/5317924709672681472000\) | \(-1016271238162385415199260672000\) | \([]\) | \(139898880\) | \(4.5239\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 89280er1 has rank \(0\).
Complex multiplication
The elliptic curves in class 89280er do not have complex multiplication.Modular form 89280.2.a.er
sage: E.q_eigenform(10)