Properties

Label 159936.ki
Number of curves $1$
Conductor $159936$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ki1")
 
E.isogeny_class()
 

Elliptic curves in class 159936.ki

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
159936.ki1 159936ch1 \([0, 1, 0, -57969, 5292783]\) \(26835062456272/345025251\) \(276991791906816\) \([]\) \(806400\) \(1.5797\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 159936.ki1 has rank \(0\).

Complex multiplication

The elliptic curves in class 159936.ki do not have complex multiplication.

Modular form 159936.2.a.ki

sage: E.q_eigenform(10)
 
\(q + q^{3} + 3 q^{5} + q^{9} + 2 q^{11} - 3 q^{13} + 3 q^{15} - q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display