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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 289578.f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 289578.f1 | 289578f1 | \([1, 0, 0, -943352315991, 355388587087486689]\) | \(-3846377839720943147437488427439761/34549698102052625073221257656\) | \(-833945721867464279336008158938478264\) | \([]\) | \(9958588416\) | \(5.7159\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 289578.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 289578.f do not have complex multiplication.Modular form 289578.2.a.f
sage: E.q_eigenform(10)