Properties

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

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Show commands: SageMath
E = EllipticCurve("hz1")
 
E.isogeny_class()
 

Elliptic curves in class 159936hz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
159936.b1 159936hz1 \([0, -1, 0, 1307745, -738294339]\) \(13681452614144/20927272323\) \(-378331933461134939328\) \([]\) \(8709120\) \(2.6339\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 159936hz1 has rank \(0\).

Complex multiplication

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

Modular form 159936.2.a.hz

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{5} + q^{9} + 2 q^{11} + q^{13} + 4 q^{15} - q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display