Properties

Label 58800.kf
Number of curves $1$
Conductor $58800$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: 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)
 
\(q + q^{3} + q^{9} + 6 q^{11} + 3 q^{13} + 2 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display