Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("cv1")
 
E.isogeny_class()
 

Elliptic curves in class 159936cv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
159936.v1 159936cv1 \([0, -1, 0, -737, -48831]\) \(-27610184/632043\) \(-1014828466176\) \([]\) \(290304\) \(0.98456\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 159936cv1 has rank \(1\).

Complex multiplication

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

Modular form 159936.2.a.cv

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