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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 92736.k
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 92736.k1 | 92736bj1 | \([0, 0, 0, -14124, 917296]\) | \(-3261064466/1917027\) | \(-183174782386176\) | \([]\) | \(307200\) | \(1.4393\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92736.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 92736.k do not have complex multiplication.Modular form 92736.2.a.k
sage: E.q_eigenform(10)