Properties

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

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Show commands: SageMath
E = EllipticCurve("bt1")
 
E.isogeny_class()
 

Elliptic curves in class 9408.bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9408.bt1 9408cn1 \([0, 1, 0, -14177, -663489]\) \(-1668296/27\) \(-5100326977536\) \([]\) \(24192\) \(1.2388\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9408.bt1 has rank \(1\).

Complex multiplication

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

Modular form 9408.2.a.bt

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