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SageMath
E = EllipticCurve("kf1")
E.isogeny_class()
Elliptic curves in class 58800.kf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.kf1 | 58800er1 | \([0, 1, 0, -11433, 558963]\) | \(-8780800/2187\) | \(-41167738080000\) | \([]\) | \(157248\) | \(1.3303\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.kf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 58800.kf do not have complex multiplication.Modular form 58800.2.a.kf
sage: E.q_eigenform(10)