Properties

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

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Show commands: SageMath
E = EllipticCurve("df1")
 
E.isogeny_class()
 

Elliptic curves in class 159936.df

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
159936.df1 159936ju1 \([0, -1, 0, -321505, -70406111]\) \(-19456019912/111537\) \(-21069450744201216\) \([]\) \(1548288\) \(1.9739\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 159936.df1 has rank \(0\).

Complex multiplication

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

Modular form 159936.2.a.df

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