Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 9408.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9408.a1 9408ci1 \([0, -1, 0, 5, 1]\) \(3584/3\) \(-9408\) \([]\) \(960\) \(-0.54987\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9408.a1 has rank \(1\).

Complex multiplication

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

Modular form 9408.2.a.a

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