Properties

Label 159936cn
Number of curves $1$
Conductor $159936$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cn1")
 
E.isogeny_class()
 

Elliptic curves in class 159936cn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
159936.c1 159936cn1 \([0, -1, 0, -12805, 613411]\) \(-629407744/70227\) \(-25910059508928\) \([]\) \(604800\) \(1.3111\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 159936cn1 has rank \(1\).

Complex multiplication

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

Modular form 159936.2.a.cn

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