Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bl1")
 
E.isogeny_class()
 

Elliptic curves in class 9408.bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9408.bl1 9408cf1 \([0, -1, 0, -289, 2017]\) \(-1668296/27\) \(-43352064\) \([]\) \(3456\) \(0.26580\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9408.bl1 has rank \(1\).

Complex multiplication

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

Modular form 9408.2.a.bl

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