Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("9408.cg1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 9408.cg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
9408.cg1 9408cl1 [0, 1, 0, 12479, -45697] [] 24960 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9408.cg1 has rank \(1\).

Modular form 9408.2.a.cg

sage: E.q_eigenform(10)
 
\( q + q^{3} - q^{5} + q^{9} - q^{11} - q^{15} - 8q^{17} + 4q^{19} + O(q^{20}) \)