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SageMath
E = EllipticCurve("ej1")
E.isogeny_class()
Elliptic curves in class 289800ej
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 289800.ej1 | 289800ej1 | \([0, 0, 0, -210675, -37303625]\) | \(-5674076449024/14904575\) | \(-2716358793750000\) | \([]\) | \(1935360\) | \(1.8368\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 289800ej1 has rank \(0\).
Complex multiplication
The elliptic curves in class 289800ej do not have complex multiplication.Modular form 289800.2.a.ej
sage: E.q_eigenform(10)