Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("dj1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 159936.dj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
159936.dj1 159936jn1 \([0, -1, 0, 6795, -234387]\) \(17997824/22491\) \(-43352779309056\) \([]\) \(442368\) \(1.3027\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 159936.dj1 has rank \(1\).

Complex multiplication

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

Modular form 159936.2.a.dj

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