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SageMath
E = EllipticCurve("kf1")
E.isogeny_class()
Elliptic curves in class 476850.kf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
476850.kf1 | 476850kf1 | \([1, 0, 0, -535786012188, 150963083404702992]\) | \(-45100802713464654722769650329/4293192974400000000000\) | \(-1619175650779613025000000000000000\) | \([]\) | \(4653158400\) | \(5.4091\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 476850.kf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 476850.kf do not have complex multiplication.Modular form 476850.2.a.kf
sage: E.q_eigenform(10)