Properties

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

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 9408.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9408.f1 9408br1 \([0, -1, 0, -1829, 83133]\) \(-7168/27\) \(-2550163488768\) \([]\) \(16128\) \(1.0662\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9408.f1 has rank \(0\).

Complex multiplication

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

Modular form 9408.2.a.f

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