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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 67158j
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 67158.x1 | 67158j1 | \([1, -1, 0, -1073239893, 12341757847797]\) | \(187536845211756879082380654673/18269088231048308260798464\) | \(13318165320434216722122080256\) | \([]\) | \(76554240\) | \(4.1337\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67158j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 67158j do not have complex multiplication.Modular form 67158.2.a.j
sage: E.q_eigenform(10)