Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("9408.dc1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 9408.dc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
9408.dc1 9408dc1 [0, 1, 0, -289, -2017] [] 3456 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9408.dc1 has rank \(0\).

Modular form 9408.2.a.dc

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