Properties

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

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Show commands: SageMath
E = EllipticCurve("iw1")
 
E.isogeny_class()
 

Elliptic curves in class 159936.iw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
159936.iw1 159936bl1 \([0, 1, 0, 698675, 203570177]\) \(5009339741732864/5271114033171\) \(-39689042872866238656\) \([]\) \(3760128\) \(2.4473\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 159936.iw1 has rank \(0\).

Complex multiplication

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

Modular form 159936.2.a.iw

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