Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("gz1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 159936.gz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
159936.gz1 159936fz1 \([0, 1, 0, -30304801, -64221970177]\) \(-798398773180392392/69429717\) \(-267660059454111744\) \([]\) \(8294400\) \(2.7842\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 159936.gz1 has rank \(1\).

Complex multiplication

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

Modular form 159936.2.a.gz

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