Properties

Label 159936cx
Number of curves $1$
Conductor $159936$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("cx1")
 
E.isogeny_class()
 

Elliptic curves in class 159936cx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
159936.q1 159936cx1 \([0, -1, 0, -2840497, -1821105551]\) \(26835062456272/345025251\) \(32587807326044995584\) \([]\) \(5644800\) \(2.5527\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 159936cx1 has rank \(1\).

Complex multiplication

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

Modular form 159936.2.a.cx

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