Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("9408.cm1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 9408.cm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
9408.cm1 9408cj1 [0, 1, 0, -163, 755] [] 1728 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9408.cm1 has rank \(1\).

Modular form 9408.2.a.cm

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