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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 22386.f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 22386.f1 | 22386a1 | \([1, 1, 0, -171, -3]\) | \(558051585337/320925696\) | \(320925696\) | \([]\) | \(13056\) | \(0.32184\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22386.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 22386.f do not have complex multiplication.Modular form 22386.2.a.f
sage: E.q_eigenform(10)