Properties

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

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Show commands: SageMath
E = EllipticCurve("ix1")
 
E.isogeny_class()
 

Elliptic curves in class 159936.ix

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
159936.ix1 159936bm1 \([0, 1, 0, 1055, 6047]\) \(10100279/6936\) \(-89093308416\) \([]\) \(138240\) \(0.78969\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 159936.ix1 has rank \(0\).

Complex multiplication

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

Modular form 159936.2.a.ix

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