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SageMath
E = EllipticCurve("fk1")
E.isogeny_class()
Elliptic curves in class 92736fk
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 92736.dr1 | 92736fk1 | \([0, 0, 0, 879300, -8038591416]\) | \(100718081964000000/37453512751940327\) | \(-27958897455272446344192\) | \([]\) | \(5483520\) | \(2.9862\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92736fk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 92736fk do not have complex multiplication.Modular form 92736.2.a.fk
sage: E.q_eigenform(10)