Properties

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

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 9408.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9408.bb1 9408bx1 \([0, -1, 0, 611455, 16896993]\) \(2731405432/1594323\) \(-14757291177129639936\) \([]\) \(174720\) \(2.3676\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9408.bb1 has rank \(1\).

Complex multiplication

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

Modular form 9408.2.a.bb

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{9} - q^{11} - q^{15} + 8 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display