Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bw1")
 
E.isogeny_class()
 

Elliptic curves in class 159936.bw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
159936.bw1 159936dq1 \([0, -1, 0, -20959521, 36928154817]\) \(1617840527930521321/623760113664\) \(392599445938441814016\) \([]\) \(7741440\) \(2.9171\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 159936.bw1 has rank \(1\).

Complex multiplication

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

Modular form 159936.2.a.bw

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} - 2 q^{11} - q^{13} + q^{15} + q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display