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SageMath
E = EllipticCurve("kf1")
E.isogeny_class()
Elliptic curves in class 284592kf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
284592.kf1 | 284592kf1 | \([0, 1, 0, 61588476, -847157900877]\) | \(5820759945472/73222472421\) | \(-325002557323189473214387824\) | \([]\) | \(85155840\) | \(3.7680\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 284592kf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 284592kf do not have complex multiplication.Modular form 284592.2.a.kf
sage: E.q_eigenform(10)