Properties

Label 9408.cn
Number of curves $1$
Conductor $9408$
CM no
Rank $0$

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

Elliptic curves in class 9408.cn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9408.cn1 9408u1 \([0, 1, 0, -1143, -46089]\) \(-448000/2187\) \(-806887666368\) \([]\) \(9408\) \(0.96920\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9408.cn1 has rank \(0\).

Complex multiplication

The elliptic curves in class 9408.cn do not have complex multiplication.

Modular form 9408.2.a.cn

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