Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("9408.dd1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 9408.dd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
9408.dd1 9408cp1 [0, 1, 0, 229, -813] [] 6720 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9408.dd1 has rank \(1\).

Modular form 9408.2.a.dd

sage: E.q_eigenform(10)
 
\( q + q^{3} + 4q^{5} + q^{9} - 6q^{11} - 5q^{13} + 4q^{15} + 2q^{17} - q^{19} + O(q^{20}) \)